Planes sentence example

planes
  • Julie was a basket case when she learned she'd be required to transfer planes in Los Angeles.
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  • It was too late to get a non-stop flight so I have you going out of Allentown and changing planes in Baltimore.
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  • burr.- p T 9 pl.y ped.g: reversal of the cleavage planes in sinistral as compared with dextral forms. The facts, however, strongly suggest that the original cause of the torsion was the weight of the exogastric shell and visceral hump, which in an animal creeping on its ventral surface necessarily fell over to one side.
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  • His features were chiseled, the firelight casting harsh shadows across the planes of his face.
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  • Rhyn was a wild animal with a wild beauty, harsh angles and planes, a body built for survival.
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  • The place was a morgue of mannequins, all clutching briefcases, their faces in newspapers as the planes stood silently by.
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  • I'm used to planes being late more often than on time.
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  • When he withdrew, she reached out to touch the planes and angles of his face.
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  • "Tetrahedral co-ordinates" are a system of quadriplanar co-ordinates, the fundamental planes being the faces of a tetrahedron, and the co-ordinates the perpendicular distances of the point from the faces, a positive sign being given if the point be between the face and the opposite vertex, and a negative sign if not.
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  • Extraordinary care has evidently been bestowed in adjusting the parallelism and distance of the planes and A, so that the movable wires shall almost, but not quite, touch the surface T.
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  • Attempts have been made to bring it into more general use, but without success; and it is only in particular circumstances that navigation, with the aid either of locks or inclined planes to surmount the elevations, will not present a more convenient medium for an extended trade."
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  • In numerous instances clear evidence of recent movements along the fault planes has been discovered; and frequent earthquakes testify with equal force to the present uplift of the mountain blocks.
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  • In this way we account most simply for the uniformity in the direction in which the planets revolve, and for the mutual proximity of the planes in which their orbits are contained.
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  • The great summer heat, by expanding the air upwards, disturbs the level of the planes of equal pressure, and causes an outflow of the upper strata from the heated area.
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  • Twinning is represented only by twinlamellae, which are parallel to the planes m and f and are of secondary origin, having been produced by pressure.
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  • The early bridges were inclined planes and could easily be crossed by horses.
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  • moer, spirit, elf) preserves for us a record of this form of belief, which is found right down to the lowest planes of culture.
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  • Farther to the south is the large Jardin d'Essai, containing five avenues of palms, planes, bamboos and magnolias.
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  • A, colony of but grow in all planes Lar;B and C, young and adult medusae.
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  • (After coralline may be regarded as a form of Moseley.) hydroid colony in which the coenosarc forms a felt-work ramifying in all planes, and in which the chitinous perisarc is replaced by a massive calcareous skeleton.
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  • There were oaks, beeches (scarcely distinguishable from existing species), birches, planes and willows (one closely related to the living Salix candida), laurels, represented by Sassafras and Cinnamomum, magnolias and tulip trees (Liriodendron), myrtles, Liquidambar, Diospyros and ivy.
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  • 70 contained Sequoia, planes, maples and magnolias, and closely agrees with the Miocene flora of central Europe.
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  • The next thing she knew, Alex was shaking her awake and telling her they were changing planes.
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  • The trophosome consists of a mass of coenosarcal tubes anastomosing in all planes.
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  • There is no distinct cleavage, but imperfect parting may be obtained along octahedral planes.
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  • In the article Crystallography the nature and behaviour of twinned crystals receives full treatment; here it is sufficient to say that when the planes and axes of twinning are planes and axes of symmetry, a twin would exhibit higher symmetry (but remain in the same crystal system) than the primary crystal; and, also, if a crystal approximates in its axial constants to 'a higher system, mimetic twinning would increase the approximation, and the crystal would be pseudo-symmetric.
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  • Now geometry deals with points, lines, planes and cubic contents.
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  • Of these all except points are quantities: lines involve lengths, planes involve areas, and cubic contents involve volumes.
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  • The orbital planes of earth and moon are inclined to each other at an angle of 50.8 ° and at two points only in its orbit can the moon be situated in the plane of the ecliptic: the line joining these two points is called the "line of nodes."
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  • angles of 60° and 120°, and, with the exception of the basal planes, are only rarely bounded by smooth and well-defined faces.
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  • These cracks coincide with planes of easy separation or of gliding in the crystal; they are especially useful in helping to determine the crystallographic orientation of a cleavage flake of mica when crystal faces are absent.
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  • Dark coloured micas are strongly pleochroic. Accurate determinations of the optical orientation, as well as the symmetry of the etching figures on the cleavage planes, seem to suggest that the micas, except muscovite, may be anorthic rather than monoclinic in crystallization.
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  • A wire or rod in this condition is said to be circularly magnetized; it may be regarded as consisting of an indefinite number of elementary ring-magnets, having their axes coincident with the axis of the wire and their planes at right angles to it.
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  • As a consequence of the structure of the molecule, which is an aggregation of atoms, the planes of the orbits around the latter may be oriented in various positions, and the direction of revolution may be right-handed or left-handed with respect to the direction of any applied magnetic field.
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  • In these instruments the lines are ruled upon a spherical surface of speculum metal, and mark the intersections of the surface by a system of parallel and equidistant planes, o; of which the middle member passes through the centre of the sphere.
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  • In the present application 4' is not necessarily equal to; but if P correspond to a line upon the grating, the difference of retardations for consecutive positions of P, so far as expressed by the term of the first order, will be equal to mX (m integral), and therefore without influence, provided v (sin 0-sin0') = nzX (11), where a denotes the constant interval between the planes containing the lines.
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  • Several smaller entrances are to be seen in it, as in the south wall: among them one with a series of inclined planes cut in the rock, which leads to an ancient road running south-east to the neighbourhood of the theatre.
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  • Gravity or self-acting planes are for lowering loaded cars, one or more at a time, from a higher to a lower level.
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  • This is proved by taking any two points A and B at the same level, and considering the equilibrium of a thin prism of liquid AB, bounded by planes at A and B perpendicular to AB.
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  • Taking two planes x = =b, and considering the increase of momentum in the liquid between them, due to the entry and exit of liquid momentum, the increase across dy in the direction Oy, due to elements at P and P' at opposite ends of the diameter PP', is pdy (U - Ua 2 r2 cos 20 +mr i sin 0) (Ua 2 r 2 sin 2 0+mr 1 cos 0) + pdy (- U+Ua 2 r 2 cos 2 0 +mr1 sin 0) (Ua 2 r 2 sin 2 0 -mr 1 cos 0) =2pdymUr '(cos 0 -a 2 r 2 cos 30), (8) and with b tan r =b sec this is 2pmUdo(i -a 2 b2 cos 30 cos 0), (9) and integrating between the limits 0 = 27r, the resultant, as before, is 27rpmU.
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  • As before in § 31, the rotation may be resolved into a shear-pair, in planes perpendicular to Ox and Oy.
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  • When crystallized from water, crystals belonging to the orthorhombic system, and having a prism angle of 61 0 10', are obtained; they are often twinned on the prism planes, giving rise to pseudo-hexagonal groups resembling aragonite.
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  • From an investigation of all the observations upon Mercury and the other three interior planets, Simon Newcomb found it almost out of the question that any such mass of matter could exist without changing either the figure of the sun itself or the motion of the planes of the orbits of either Mercury or Venus.
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  • If now we cut the freezing-point surface by planes parallel to the base ABC we get curves giving us all the alloys whose freezing-point is the same; these isothermals can be projected on to the plane of the triangle and are seen as dotted lines in fig.
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  • capacity of two concentric spheres, of two coaxial cylinders and of two parallel planes.
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  • The capacity of two parallel planes can be calculated at once if we neglect the distribution of the lines of force near the edges of the plates, and assume that the only field is the uniform field between the plates.
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  • The diameter of a quadric surface is a line at the extremities of which the tangent planes are parallel.
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  • 9 We have been unable to ascertain the reasons which led Bessel to choose ivory planes for the end-bearings of his screws.
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  • Freezing takes place by the formation of pure ice in flat crystalline plates of the hexagonal system, which form in perpendicular planes and unite in bundles to form grains so that a thick covering of ice exhibits a fibrous structure.
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  • These peculiarities of structure may vary very considerably within small areas; and the position of the divisional planes or cleats with reference to the mass, and the proportion of small coal or slack to the larger fragments when the coal is broken up by cutting-tools, are points of great importance in the working of coal on a large scale.
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  • The divisional planes often contain small films of other minerals, the commonest being calcite, gypsum and iron pyrites, but in some cases zeolitic minerals and galena have been observed.
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  • Sometimes, but rarely, it happens that it is necessary to cut vertical grooves in the face to determine the limit of the fall, such limits being usually dependent upon the cleet or divisional planes in the coal, especially when the work is carried perpendicular to them or on the end.
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  • In a large colliery where the shafts are situated near the centre of the field, and the workings extend on all sides, both to the dip and rise, the drawing roads for the coal may be of three different kinds - (r) levels driven at right angles to the dip, suitable for horse roads, (2) rise ways, known as jinny roads, jig-brows, or up-brows, which, when of sufficient slope, may be used as self-acting planes, i.e.
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  • Mineral, vegetable and animal substances, by means of tools and apparatus of stone, wood and bone - tools for cutting, or edged tools; tools for abrading and smoothing the surfaces of substances, like planes, rasps and sandpaper; tools for striking, that is, pounding for the sake of pounding, or for crushing and fracturing violently; perforating tools; devices for grasping and holding firmly.
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  • The architectural Mexicans, Central Americans, and especially the Peruvians, had no derricks or other hoisting devices, but rolled great stones into place along prepared ways and up inclined planes of earth, which were afterwards removed.
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  • Hence Catholic, and scientific or historical, definitions of dogma are on different planes.
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  • This implies the treatment of a plane or solid figure as being wholly comprised between two parallel lines or planes, regarded by convention as being vertical; the figure being generated by an ordinate or section moving at right angles to itself through a distance which is called the breadth of the figure.
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  • This formula holds for the general case in which the base is a trapezium; the wedge being thus formed by cutting a triangular prism by any two planes.
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  • These formulae also hold for converting moments of a solid figure with regard to a plane into moments with regard to a parallel plane through the centroid; x being the distance between the two planes.
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  • Similarly the first moment of a solid figure may be regarded as obtained by dividing the figure into elementary prisms by two sets of parallel planes, and concentrating the volume of each prism at its centre.
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  • If the solid is divided into elements by a series of such planes, and if h is the distance between two consecutive planes making sections such as Abdc in fig.
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  • 5, the volume of the element between these planes, when h is very small, is approximately h X AB X arc PQ = h.
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  • Similarly a surface of revolution can be divided by planes at right angles to the axis into elements, each of which is approximately a section of the surface of a right circular cone.
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  • Hence the area of an ellipse whose axes are 2a and 2b is Trab; and the volume of an ellipsoid whose axes are 2a, 2b and 2c is t rabc. The area of a strip of an ellipse between two lines parallel to an axis, or the volume of the portion (frustum) of an ellipsoid between two planes parallel to a principal section, may be found in the same way.
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  • A briquette may therefore be defined as a solid figure bounded by a pair of parallel planes, another pair of parallel planes at right angles to these, a base at right angles to these four planes (and therefore rectangular), and a top which is a surface of any form, but such that every ordinate from the base cuts it in one point and one point only.
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  • The briquette may usually be regarded as divided into a series of minor briquettes by two sets of parallel planes, the planes of each set being at successively equal distances.
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  • If the planes of one set divide it into m slabs of thickness h, and those of the other into n slabs of thickness k, so that H =mh, K = nk, then the values of x and of y for any ordinate may be denoted by xo+Oh and yo+Ok, and the length of the ordinate by uo, 0.
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  • In the same way the volume of a briquette between the planes x = xo, y = yo, x= a, y = b may be denoted by [[Vx,y ]y=yo] u 'x' =xo.
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  • Suppose that we take a pair of parallel planes, such that the solid extends from one to the other of these planes.
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  • If the area of the cross-section, in every position, is known in terms of its distance from one of the bounding planes, or from a fixed plane A parallel to them, the volume of the solid can be expressed in terms of the area of a trapezette.
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  • It follows from §§ 48 and 51 that, if V is a solid figure extending from a plane K to a parallel plane L, and if the area of every cross-section parallel to these planes is a quadratic function of the distance of the section from a fixed plane parallel to them, Simpson's formula may be applied to find the volume of the solid.
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  • If the areas of the two ends in the planes K and L are So and S2, and the area of the mid-section (i.e.
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  • the section by a plane parallel to these planes and midway between them) is S i, the volume is *H(So + 4 S 1 S 2), where H is the total breadth.
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  • Let the distance between the parallel planes through AB and CD be h, and let a plane at distance x from the plane through AB cut the edges AC, up -f- .
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  • To extend these methods to a briquette, where the ordinate u is an algebraical function of x and y, the axes of x and of y being parallel to the sides of the base, we consider that the area of a section at distance x from the plane x = o is expressed in terms of the ordinates in which it intersects the series of planes, parallel to y=o, through the given ordinates of the briquette (§ 44); and that the area of the section is then represented by the ordinate of a trapezette.
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  • Suppose, for instance, that u is of degree not exceeding 3 in x, and of degree not exceeding 3 in y, that it contains terms in x3y3, x 3 y 2, x2y3, &c.; and suppose that the edges parallel to which x and y are measured are of lengths 2h and 3k, the briquette being divided into six elements by the plane x=xo+h and the planes y = yo+k, y = yo+2k, and that the 12 ordinates forming the edges of these six elements are given.
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  • The formulae of § 82 can be extended to the case of a briquette whose top has close contact with the base all along its boundary; the data being the volumes of the minor briquettes formed by the planes x =x0, x = x i,
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  • y where K-=4, X qth moment with regard to plane y =o, Lm yn X pth moment with regard to plane x =o, and R is the volume of a briquette whose ordinate at (x,.,y s) is found by multiplying by pq x r P - 1 ys 4-1 the volume of that portion of the original briquette which lies between the planes x =xo, y =yo, y = ys.
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  • Six of these squares joined together formed eight solid angles, each produced by three plane right angles: and the shape of the body thus formed was cubical, having six square planes for its surfaces."
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  • (1) the planes of incidence and reflection are coincident, and (2) the angles of incidence and reflection are equal.
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  • The solid intercepted between two parallel planes is a "zone."
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  • Slates properly so-called do not, except on rare occasions, split along the bedding, but along planes of cleavage, which intersect the bedding usually at high angles.
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  • The cleavage of slates must be distinguished from cleavage of minerals, the latter being due to different degrees of cohesion along definite crystallographic planes.
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  • This flowage will help to orientate the particles in the direction of movement, and, operating conjointly with the flattening above explained,will accentuate the liability to cleave in a definite set of planes.
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  • The crumpled bands mark the bedding, and the fine perpendicular striae in front are the cleavage planes; the fine lines on the darkened side merely represent shadow, and must not be taken for planes of division in the rock.
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  • It will be observed that the cleavage planes do not pass through the white bands.
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  • In passing from a slate to a grit the direction of the cleavage changes so that it tends to be more nearly perpendicular to the bedding planes.
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  • It is produced by minute crumplings on the cleavage faces all arranged so that they lie along definite planes crossing the cleavage.
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  • The faces of slates have usually a slightly silky lustre due to the abundance of minute scales of mica all lying parallel and reflecting light simultaneously from their pearly basal planes.
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  • More familiar to the Anglo-Saxon race is the connexion between the soul and the breath; this identification is found both in Aryan and Semitic languages; in Latin we have spiritus, in Greek pneuma, in Hebrew ruach; and the idea is found extending downwards to the lowest planes of culture in Australia, America and Asia.
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  • His demonstration that the planes of all the planetary orbits pass through the centre of the sun, coupled with his clear recognition of the sun as the moving power of the system, entitles him to rank as the founder of physical astronomy.
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  • From the great size of the trunk and the even grain of the red cedar-like wood it is a valuable tree to the farmer and carpenter: it splits readily and evenly, and planes and polishes well; cut radially, the medullary plates give the wood a fine satiny lustre; it is strong and durable, but not so elastic as many of the western pines and firs.
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  • of Chalcis, rises the highest of its mountains, Dirphysor Dirphe,now Mount Delphi (5725 ft.),the bare summit of which is not entirely free from snow till the end of May, while its sides are clothed with pines and firs, and lower down with chestnuts and planes.
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  • FRUSTUM (Latin for a "piece broken off"), a term in geometry for the part of a solid figure, such as a cone or pyramid, cut off by a plane parallel to the base, or lying between two parallel planes; and hence in architecture a name given to the drum of a column.
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  • Bevelment, as a term of crystallography, means the replacement of an edge of a crystal by two planes equally inclined to the adjacent planes.
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  • A solid angle is definable as the space contained by three or more planes intersecting in a common point; it is familiarly represented by a corner.
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  • The angle between two planes is termed dihedral, between three trihedral, between any number more than three polyhedral.
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  • A spherical angle is a particular dihedral angle; it is the angle between two intersecting arcs on a sphere, and is measured by the angle between the planes containing the arcs and the centre of the sphere.
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  • The latter was built with ten inclined planes, five on each side of the summit at Blair's Gap and cars were drawn up these by stationary engines.
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  • For the quantitative study of such systems in detail it is convenient to draw plane diagrams which are theoretically projections of the curves of the solid phase rule diagram on one or other of these planes.
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  • in circumference, and the fort can only be approached by steep and very roughly paved planes, commanded by the fort and the outworks, and by the hill to the west.
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  • It is highly doubtful, however, whether he had anything to do either with the Antiphonary or with the invention or revival of the cantus planes; it is certain that he was not the founder of the Roman singing-school, though he may have interested himself in its endowment and extension.
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  • They also undergo cutting up by numerous septa into short cells, and these often divide again in all planes, so that a pseudoparenchyma results, the walls of which may be thickened and swollen internally, or hardened and black on the exterior.
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  • Fumago - a single mycelial cell divides by septa in all three planes until a more or less solid clump results.
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  • The chief genera are Saprolegnia, Achlya, Pythiopsis, Dictyuchus, A planes.
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  • 19 and 20 are regarded for a moment as forming a single diagrammatic figure instead of sections in different planes.
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  • First, if the skeleton which it forms is continuous, then its planes of junction with the metallic matrix offer a path of low resistance to the passage of liquids or gases, or in short they make the metal so porous as to unfit it for objects like the cylinders of hydraulic presses, which ought to be gas-tight and water-tight.
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  • Diamond may break with a conchoidal fracture, but the crystals always cleave readily along planes parallel to the octahedron faces: of this property the diamond cutters avail themselves when reducing the stone to the most convenient form for cutting; a sawing process, has, however, now been introduced, which is preferable to that of cleavage.
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  • The size of the angle between the median planes of two consecutive leaves in an alternate arrangement is their divergence; and it is expressed in fractions of the circumference of the axis which is supposed to be a circle.
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  • (I) This relation applies accurately to the case of the steady flow of heat in parallel straight lines through a homogeneous and isotropic solid, the isothermal surfaces, or surfaces of equal temperature, being planes perpendicular to the lines of flow.
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  • The heat absorbed is the difference of the quantities transmitted through the bounding planes of the stratum.
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  • Crystals of blende belong to that subclass of the cubic system in which there are six planes of symmetry parallel to the faces of the rhombic dodecahedron and none parallel to the cubic faces; in other words, the crystals are cubic with inclined hemihedrism, and have no centre of symmetry.
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  • First, no portion of them whatever should be on a dead level, but every part should belong to one or other of a series of true inclined planes.
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  • The movements of the apparatus, which when complete should consist of two similar pendulums in planes at right angles to each other, are recorded by means of a beam of light, which, after reflection from the mirror or mirrors, passes through a cylindrical lens and is focussed upon a moving surface of photographic paper.
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  • The multicellular species consist of filaments, branched or unbranched, which arise by the repeated divisions of the cells in parallel planes, no formation of mucilage occurring in the dividing walls.
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  • Many Siphonales are encrusted of planes and a multicellular individual.
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  • From this cell segments are cut off in three or four lateral oblique planes.
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  • That these high plateaus are planes of erosion is shown by their independence of geological structure, the upturned edges of the vertical and contorted schists having been abruptly shorn off and the granite having been wasted and levelled along its exposed surface.
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  • More mechanical in execution, though still very rich in effect, is that sort of iron tracery work produced by cutting out patterns in plate, and superimposing one plate over the other, so as to give richness of effect by the shadows produced by these varying planes.
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  • But when curving occurs In different planes at right or other angles (hollowing), the metal has to be drawn or extended on the outside, and important differences arise.
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  • There must be a certain loss of light from two, additional reflections; but that could be tolerated for the sake of other advantages, provided that the mirrors could be made sufficiently perfect \ optical planes.
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  • The problem is greatly complicated by the fact that the equator and equinox, to which the observed positions of the stars must be referred, are not stationary in space, and in fact the movements of these planes of reference can only be determined by a discussion of the observations of stars.
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  • Struve developed the view that the stars are contained in a comparatively thin stratum bounded by two parallel planes.
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  • Thus the figure represents a section the (ideally simplified) uni verse cut perpendicular to C P' D the planes AB and CD between which the stars are contained, 1 This number is the 3/2th power of the ratio of the brightness of stars differing by a unit magnitude.
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  • That the sun is nearly midway between the two boundary planes can be tested by comparing the star-densities of the northern and southern galactic hemispheres.
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  • It is only when some of the stars considered are more remote and lie outside this sphere (but of course between the two planes) that there is a galactic crowding.
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  • to add to the fairly uniform distribution of stars between two planes a gigantic cluster of an annular or spiral form, also lying between the planes and completely surrounding the sun.
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  • Lines and complexes thereof are sufficiently treated as rotors and motors, but points and planes cannot be so treated.
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  • that of the perpendicular from point to plane, and therefore a calculus of points and planes is ipso facto a calculus of lines also.
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  • To overcome this difficulty Eschenhagen in his earlier type of instruments attached to each magnet two mirrors, their planes being inclined at a small angle so that when the spot reflected from one mirror goes off the paper, that corresponding to the other comes on.
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  • A similar procedure applies to a three-dimensional system, Thus if, 0 being the origin, OH represent any force P of the - system, the planes drawn through H parallel to the co-ordinate planes will enclose with the latter B N a parallelepiped, and it is evident H that OH is the geometric sum of 0 ~ ~----~ ~ ~---~>
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  • Again, suppose we have a bar AB resting with its ends on twc smooth inclined planes which face each other.
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  • Let a, $ be the inclinations of the planes, and 0 the angle which the bar makes with thE vertical.
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  • The position of equilibrium is determined by the considera tion that the reactions at A and B, which are by hypothesis normal t the planes, must meet at a point J on the vertical through G.
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  • The problem of a rod suspended by strings attached to two points of it is virtually identical, the tensions of the strings taking the place of the reactions of the planes.
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  • As regards the funicular diagram, let LM be the line on which the pairs of corresponding sides of the two polygons meet, and through it draw any two planes w, w.
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  • 36 these various lines and planes are represented by their intersections with a uiiit sphere having 0 as centre.
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  • Those planes in the body which are perpendicular to this axis obviously remain parallel to their original positions.
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  • Hence, if ~, tr denote the initial and final positions of any figure in one of these planes, the displacement could evidently have been effected by, (I) a translation perpendicular to the planes in question, bringing ointo some position o- in the plane of a., and (2) a rotation about a normal to the planes, bringing a.
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  • In particular, we infer that couples of the same moment in parallel planes are equivalent; and that couples in any two planes may be compounded by geometrical addition of the corresponding vectors.
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  • Thus, let the plane of the paper be perpendicular to the planes of two couples, and therefore perpendicular to the line of intersection of these planes.
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  • since, in this proof the magnitude of P is arbitrary, it follows incidentally that couples of the same moment in parallel planes, 1.g.
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  • planes parallel to AC, are equivalent.
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  • is equivalent to three couples 1G, mG, nG in the co-ordinate planes.
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  • Again, the locus of G is an arc of an ellipse whose centre is in the intersection of the planes; since this arc is convex upwards the equilibrium is unstable.
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  • P,, we draw any system of parallel planes meeting a straight line OX in the points Mi, M2,
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  • If we take rectangular axes through any point 0, the quadratic moments with respect to the co-ordinate planes are I,, = Z(mxi), I,,= Z(my1), I, = ~(mz2); (9) those with respect to the co-ordinate axes are Ii,, = ~lm(y~+z2)~, I,, = ~tm(z2+x2)l, I,, ~tm(x2+y1)j; (10) whilst the polar quadratic moment with respect to 0 is 10 = ~tm(x2+y2+z1)}.
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  • Thus the sum ~(m.yz) is called the product of inertia with respect to the planes y=o, z=o.
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  • This may be expressed in terms of the product of inertia with respect to parallel planes through G by means of the formula (14); viz.:
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  • The quadratic moment,s with respect to different planes through a fixed point 0 are related to one another as follows.
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  • It appears from (24) that through any assigned point 0 three rectangular axes can be drawn such that the product of inertia with respect to each pair of co-ordinate planes vanishes; these are called the principal axes of inertia at 0.
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  • (30) Hence the planes of constant quadratic moment Mk2 will envelop the quadric a2+b2+c2~~ (31)
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  • The distance between the planes of and of will be of the second order of small quantities, and the quadratic moments with respect to of and co will therefore be equal, to the first order.
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  • A, B, C are the moments of inertia about the co-ordinate axes, and F, G, H are the products of inertia with respect to the pairs of co-ordinate planes.
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  • In the critical case of 2BT= I it breaks up into two planes through the axis of mean moment (Oy).
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  • into two planes.
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  • Further, at any one of the centres of load let PL represent the magnitude and direction of the gross load, and Pa, Pb the two resistances by which the piece to which that load is applied is supported; then wifl those three lines be respectively the diagonal and sides of a parallelogram; or, what is the same thing, they will be equal to the three sides of a triangleS and they must be in the same plane, although the sides of the polygon of resistances may be in different planes.
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  • Application to a Pair of TurnIng Fseces.Let ai, a2 be the angular velocities of a pair of turning pieces; Of, Oi the angles which their line of connection makes with their respective planes of rotation; Ti, r2 the common perpendiculars let fall from the line of connection upon the respective axes of rotation of the pieces.
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  • The path of contact which it traces is identical with itself; and the flanks of the teeth c are internal and their faces ex ternal epicycloids for wheels, and both flanks and faces are cycloids For a pitch-circle of twice the P, - / radius of the rolling or describing /, -~- circle (as it is called) the internal B ~, epicycloid is a straight line, being, / E in fact, a diameter of the pitch- circle, so that the flanks of the teeth for such a pitch-circle are planes radiating from the axis.
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  • The line of intersection of the planes perpendicular to the paths of the two connected points at a given instant is the instantaneous axis of the link at that instant; and the velocities of the connected points are directly as their distances from that axis.
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  • In drawing on a plane surface, the two planes perpendicular to the paths of the connected points are represented by two lines (being their sections by a plane normal ~i~i ~n it n z should the length of the two lines render it impracticable to produce them until they actually --
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  • moves at right angles to the central plane of its shaft and (ork, therefore the line of intersection of the central planes of the two forks at any instant is the instantaneous axis of the cross, and the velocity ratio of the points Ff, F2 (which, as the forks are equal, is also the angular velocity ratio of the shafts) is equal to the ratio of the distances of those points from that instantaneous axis.
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  • tts value at intermediate instants is given by the following equations: let ~,, 4f be the angles respectively made by the central planes of the forks and shafts with the plane OCiC, at a given instant; then cos 0=tan 4~ tan ~,)
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  • Let N be the total pressure sustained by a flat pivot of the radius r; if that pressure be uniformly distributed, which is the case when the rubbing surfaces of the pivot and its step are both true planes, the intensity of the pressure is pN/irr2 (60)
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  • The general problem in practice is, given a system of weights attached to a shaft, to find the respective weights and positions of two balance weights or counterpoises which must hi added to the system in order to make the shaft a permanent axis, the planes in which the balance weights are to revolve also beinf given.
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  • We receive, therefore, in no single intercepting plane behind the system, as, for example, a focussing screen, an image of the object point; on the other hand, in each of two planes lines 0' and 0" are separately formed (in neighbouring planes ellipses are formed), and in a plane between 0' and 0" a circle of least confusion.
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  • Similarly the corresponding image ray may be defined by the points (t', i'), and (x', y'), in the planes I' and II'.
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  • It may be assumed that the planes I' and II' are drawn where the images of the planes I and II are formed by rays near the axis by the ordinary Gaussian rules; and by an extension of these rules, not, however, corresponding to reality, the Gauss image point 0', with co-ordinates 'o, of the point 0 at some distance from the axis could be constructed.
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  • If, in the first place, monochromatic aberrations be neglected - in other words, the Gaussian theory be accepted - then every reproduction is determined by the positions of the focal planes, and the magnitude of the focal lengths, or if the focal lengths, as ordinarily happens, be equal, by three constants of reproduction.
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  • JUAN ANDRES (1740-18r7), Spanish Jesuit, was born at Planes in the province of Valencia, and became professor of literature at Gandia and finally royal librarian at Naples.
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  • He thus showed that at a curved part of the surface, a superficial particle would be urged towards the centre of curvature of the surface, and he gave reasons for concluding that this force is proportional to the sum of the curvatures of the surface in two normal planes at right angles to each other.
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  • For imagine a small cavity to be formed in the interior of the mass and to be gradually expanded in such a shape that the walls consist almost entirely of two parallel planes.
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  • The distance between the planes is supposed to be very small compared with their ultimate diameters, but at the same time large enough to exceed the range of the attractive forces.
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  • The three angles between the tangent planes to the three surfaces of separation at the point 0 are completely determined by the tensions of the b o a three surfaces.
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  • If four fluids, a, b, c, d, meet in a point 0, and if a tetrahedron AB CD is formed so that its edge AB represents the tension of the surface of contact of the liquids a and b, BC that of b and c, and so on; then if we place this tetrahedron so that the face ABC is normal to the tangent at 0 to the line of concourse of the fluids abc, and turn it so that the edge AB is normal to the tangent plane at 0 to the surface of contact of the fluids a and b, then the other three faces of the tetrahedron will be normal to the tangents at 0 to the other three lines of concourse of the liquids, an the other five edges of the tetrahedron will be normal to the tangent planes at 0 to the other five surfaces of contact.
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  • Now if the displacement z be everywhere very small, the curvature in the planes parallel to xz and yz will be d 2 z/dx 2 and d 2 z/dy e respectively, and if T is the surface-tension the whole upward force will be d 2 z d2zl T (4x 2 + + (p - o) gz.
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  • This may be due to the successive divisions occurring in two or three planes instead of only across the long axis (Sarcina), or to displacements of the cells after division.
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  • Division in all or any planes, colonies indefinite in shape and size, of cells in short chains, irregular clumps, pairs or isolated :- Micrococcus (Cohn), cells non-motile; Planococcus (Migula), cells motile.
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  • Division planes regular and definite: - Sarcina (Goods.), cells non-motile; growth and division in three successive planes at right angles, resulting in packet-like groups; Planosarcina (Migula), as before, but motile; Pediococcus (Lindner), division planes at right angles in two successive planes, and cells in tablets of four or more; Streptococcus (Billr.), divisions in one plane only, resulting in chains of cells.
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  • Division planes always perpendicular to the long axis.
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  • In the deeper parts of this zone the bacteria absorb the SH 2, and, as they rise, oxidize it and store up the sulphur; then ascending into planes more highly oxygenated, oxidize the sulphur to SO 3.
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  • The natural cleavage of the trachyte into joint planes had already scarped out shelves which it was comparatively easy for human labour to shape; and so, high up this cone of trachyte, the Greek town of Assus was built, tier above tier, the summit of the crag being crowned with a Doric temple of Athena.
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  • Haematite has no distinct cleavage, but may show, in consequence of a lamellar structure, a tendency to parting along certain planes.
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  • A peculiar feature of the canal was a system of inclined planes or railways on which there were cradles, carrying the canal boat up (or down) the incline; these were devised by Professor James Renwick (1818-1895) of Columbia College; 12 of them in the eastern division raised boats altogether about 720 ft., and II of them in the western division lowered the boats about 690 ft.
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  • As the tip of the wing is mid-way between its margins, a line between the continuous and dotted lines gives the figure-of-8 made by the tip. The arrows indicate the reversal of the planes of the wing, and show how the down and up strokes cross each other.
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  • In this process the weight of the body performs an important part, by acting upon the inclined planes formed by the wings in the plane of progression.
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  • In this case the air in rapid motion strikes the under surface of the kite and forces it up. The string and the hand are to the kite what the weight of the flying creature is to the inclined planes formed by its wings.
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  • 2 " Resistance to Falling Planes on a Path of Translation," Ninth Annual Report of the Aeronautical Society of Great Britain, 1874.
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  • " The chief feature of the invention was the very great expanse of its sustaining planes, which were larger in proportion to the weight it had to carry than those of many birds.
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  • At a trial carried out in 1894 at Bexley, Kent, only the main aeroplane, the fore and aft rudders, and the top and bottom side planes were in position.
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  • There are also timber trees such as mahogany, ebony, teak, lignum vitae, African cedars and planes, while oil, borassus and bamboo palms are abundant.
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  • If, in addition to this horizontal stratification, the atmosphere varies similarly in vertical planes, then the object would be magnified both horizontally and vertically.
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  • Crystals of this class possess neither planes nor centre of symmetry, but only axes of symmetry: perpendicular to the principal triad axis there are three uniterminal dyad axes of symmetry.
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  • Usually they are interpenetration twins with the principal axis as twin-axis; the prism planes of the two individuals coincide, and the faces r and z also fall into the same plane.
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  • This phenomenon is connected with the symmetry of the crystals, and is also shown by the crystals of certain other substances in which there are neither planes nor centre of symmetry.
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  • These fissures are in vertical planes stretching entirely across the puddle trench, and reaching in one case, aa, nearly to the highest level at which the reservoir had been worked for seventeen years after the leakage had been discovered.
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  • The effect of this process is to give a series of points in the horizontal planes at which the resultants of all forces above those planes respectively cut FIG.
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  • - Diagram showing lines of the planes.
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  • During the last few years attention has been directed to the stresses - including shearing stresses - on planes other than horizontal.
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  • 2 Dr Unwin took two horizontal planes, one close above the other, and calculated the vertical stresses on each by the law of uniformly varying stresses.
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  • Parallel shafts may be driven by flexible bands or connectors passing over pulleys, the central planes of which coincide, without any guiding arrangements for the belting.
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  • 3, in which the central planes of each pulley pass through the points of delivery of the other pulley for the given direction of motion.
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  • In the most general case two points may be chosen on the line of intersection of the diametral planes, and tangents drawn to the pitch circles of the pulleys.
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  • Guide pulleys are set with their diametral planes in the planes containing corresponding pairs of tangents, and a continuous belt wrapped round these pulleys in due order can then be run in either direction.
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  • Most frequently they occur lying on the bedding planes of black shales; less commonly they are met with in many other kinds of sediment, and when in limestone they may retain much of their original relief and admit of a detailed microscopic study.
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  • The barriers between these groups may be regarded as horizontal planes cutting across the branches of the ascending tree of life at levels determined chiefly by our ignorance; as knowledge increases, and as the conception of a genealogical classification gains acceptance, they are being replaced by vertical partitions which separate branch from branch.
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  • In powerfully folded regions the axial planes of the folds are no longer upright; they may be moderately inclined, producing an "inversion," "inverted fold" or "overfold."
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  • The Amazon is not a continuous incline, but probably consists of long, level stretches connected by short inclined planes of extremely little fall, sufficient, however, owing to its great depth, to give the gigantic volume of water a continuous impulse towards the ocean.
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  • Say the projection is always a line, then if the figure is such that the two planes are parallel, the projection is the intersection of the given plane by a parallel plane, or it is the system of points at infinity on the given plane, that is, these points at infinity are regarded as situate on a given line, the line infinity of the given plane.
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  • We have several recent theories which depend on the notion of correspondence: two points whether in the same plane or in different planes, or on the same curve or in different curves, may determine each other in such wise that to any given position of the first point there correspond a' positions of the second point, and to any given position of the second point a positions of the first point; the two points have then an (a, a) correspondence; and if a, a are each = 1, then the two points have a (1, 1) or rational correspondence.
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  • It will be observed that the equations x': y' :z = X: Y: Z before mentioned do not of themselves lead to the other system of equations x: y : z= X': Y': Z', and thus that the theory does not in anywise establish a (r, I) correspondence between the points (x, y, z) and (x', y', z) of two planes or of the same plane; this is the correspondence of Cremona's theory.
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  • The theorem of united points in regard to points in a right line was given in a paper, June-July 1864, and it was extended to unicursal curves in a paper of the same series (March 1866), " Sur les courbes planes ou a double courbure dont les points peuvent se determiner individuellement - application du principe de correspondance dans la theorie de ces courbes."
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  • There is one application of the theory of the (a, a') correspondence between two planes which it is proper to notice.
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  • if an arbitrary plane contains m points, an arbitrary line meets r lines, and an arbitrary point lies in n planes, of the system, then m, r, n ar* the order, rank and class respectively.
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  • The latter are measured or defined with regard to a fixed system of lines and planes, which form the basis of the system.
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  • This law is also expressed in three equations, one for each of the three planes on which the areas are projected.
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  • These conditions are: - (I) The smallness of the masses of the planets in comparison with that of the sun, in consequence of which the orbit of each planet deviates but slightly from an ellipse during any one revolution; (2) the fact that the orbits of the planets are nearly circular, and the planes of their orbits but slightly inclined to each other.
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  • Although this is true when there are any number of bodies moving in the same plane, the fact is that the planets move in slightly different planes.
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  • If we conceive a pole to each of these orbits, determined by the points in which lines perpendicular to their planes intersect the celestial sphere, the pole of the satellite orbit will revolve around the pole of the planetary orbit precisely as the pole of the earth does around the pole of the ecliptic, the inclination of the two orbits remaining unchanged.
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  • If a planet rotates on its axis so rapidly as to have a considerable ellipticity, and if it has satellites revolving very near the plane of the equator, the combined actions of the sun and of the equatorial protuberances may be such that the whole system will rotate almost as if the planes of revolution of the satellites were solidly fixed to the plane of the equator.
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  • The action of the sun alone would completely throw them out of these planes as each satellite orbit would rotate independently; but the effect of the mutual action is to keep all of the planes in close coincidence with the plane of the planet's equator.
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  • He aimed at finding out the cause as well as the mode of the planetary revolutions; and his demonstration that the planes in which they are described all pass through the sun was an important preliminary to a physical explanation of them.
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  • Evidently the flint has accumulated along fissures, such as bedding planes, joints and other cracks, after the chalk had to some extent consolidated.
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  • The great dodecahedron is determined by the intersections of the twelve planes which intersect the Platonic icosahedron in five of its edges; or each face has the same boundaries as the basal sides of five covertical faces of the icosahedron.
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  • Each of the twenty triangular faces subtend at the centre the same angle as is subtended by four whole and six half faces of the Platonic icosahedron; in other words, the solid is determined by the twenty planes which can be drawn through the vertices of the three faces contiguous to any face of a Platonic icosahedron.
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  • That this is not a necessary characteristic of light was discovered by Christian Huygens, who found that, whereas a stream of sunlight in traversing a rhomb of spar in any but one direction always gives rise to two streams of equal brightness, each of these emergent streams is divided by a second rhomb into two portions having a relative intensity dependent upon the position with respect to one another of the principal planes of the faces of entry into the rhombs - the planes through the axes of the crystals perpendicular to the refracting surfaces.
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  • In certain cases, indeed, one portion vanishes entirely: thus the stream ordinarily refracted in the first rhomb gives an ordinary or an extraordinary stream alone in the second, according as the principal planes are parallel or perpendicular, the reverse being the case with the extraordinary stream of the first rhomb.
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  • (2) Two streams polarized in parallel planes give the same phenomena of interference as common light.
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  • (5) In calculating the conditions of interference in the last case, it is necessary to add a half wave-length to the actual difference of path of the streams, unless the primitive and final planes of polarization lie in the same angle between the two perpendicular planes.
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  • In conformity with the form of the path, the light is said to be elliptically polarized, rightor left-handedly as the case may be, and the axes of the elliptic path are determined by the planes of maximum and minimum polarization of the light.
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  • Let a, 0, be the angles that the primitive and final planes of polarization and the plane of polarization of the quicker wave within the plate make with a fixed plane, and let be the relative retardation of phase of the two streams on emergence from the plate for light of period T.
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  • If, however, the primitive and final planes of polarization be parallel or crossed, the field exhibits only one colour during a complete revolution of the plate.
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  • The phenomenon of colour may, however, be obtained with thick plates by superposing two of them in a suitable manner, the combination acting as a thicker or a thinner plate according as the planes of polarization of the quicker waves within them are parallel or crossed.
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  • When p = 2nir and also when 4, = a or a-1-7/2 or Ili = 1 3 or 0+7r/2, that is at points for which the streams within the plate are polarized in planes parallel and perpendicular to the planes of primitive and final polarization, the intensity (called the fundamental intensity) is the same as when the plate is removed.
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  • When, however, the planes of polarization and analysation are parallel or crossed, the two pairs of principal lines of like polarization coincide, and the intensity is at all points in the former case not greater than, and in the latter case not less than, it was before the introduction of the plate.
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  • To the same degree of accuracy as that employed in obtaining the expression for the intensity, the form of the lines of like polarization is given by the section, parallel to the plate, of a cone, whose generating lines are the directions of propagation of waves that have their planes of polarization parallel and perpendicular to a given plane: the cone is in general of the third degree and passes through the optic axes of the crystal.
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  • (Reference should be made to the article Crystallography for illustrations, and for applications of these phenomena to the determination of crystal form.) With an uniaxal plate perpendicular to the optic axis, the curves of constant retardation are concentric circles and the lines of like polarization are the radii: thus with polarizer and analyser regulated for extinction, the pattern consists of a series of bright and dark circles interrupted by a black cross with its arms parallel to the planes of polarization and analysation.
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  • With a crossed polarizer and analyser the rings are interrupted by a dark hyperbolic brush that cuts the plane of the optic axes at right angles, if this plane be at 45° to the planes of polarization and analysation - the so-called diagonal position - and that becomes a rectangular cross with its arms parallel and perpendicular to the plane of the optic axes when this plane coincides with the plane of primitive or final polarization - the normal position.
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  • Let us suppose that the light is circularly analysed and that the primitive and final planes of polarization are at right angles.
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  • This consists of two plates of an uniaxal crystal of equal thickness, cut at the same inclination of about 45° to the optic axis and superposed with their principal planes at right angles.
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  • The interference pattern produced by this combination is, when the field is small, a system of parallel straight lines bisecting the angle between the principal planes of its constituents.
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  • These attain their maximum visibility when the plane of analysation is at 45° to these planes, and vanish when the plane of polarization is parallel to either of the principal planes.
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  • Airy extended Fresnel's hypothesis to directions inclined to the axis of uniaxal crystals by assuming that in any such direction the two waves, that can be propagated without alteration of their state of polarization, are oppositely elliptically polarized with their planes of maximum polarization parallel and perpendicular to the principal plane of the wave, these becoming practically plane polarized at a small inclination to the optic axis.
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  • When the polarizer and analyser are parallel or crossed, the pattern is the same as with inactive plates, with the exception that the brushes do not extend to the centre of the field; but as the analyser is rotated a small cross begins to appear at the centre of the field, while the rings change their form and become nearly squares with rounded corners, when the planes of polarization and analysation are at 45°.
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  • planes of the plate: the plane of polarization is determined by turning the analyser until the bands, ordinarily seen, disappear,.
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  • in which case it is parallel to one of the principal planes of the plate.
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  • 30 a formed - the one from two parts of a rhomb of spar, the other from two portions of a Nicol's prism - the two halves of the field are analysed in slightly different planes; but these, though they have certain advantages, are now seldom employed, partly on account of a difficulty in their construction and partly because their sensitiveness cannot be adjusted.
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  • It is clear that direct transmission through the plate at a point where the thicknesses of the prisms are d 1 and d 2 will introduce a relative retardation of (µ,; -, u o) (d l - d2) between streams polarized in planes parallel and perpendicular to the edges of the prisms,, u o, and being the ordinary and the extraordinary refractive indices; and it is hence possible by an adjustment of the thickness to reduce elliptically polarized to plane polarization at an assigned point marked off by two parallel lines.
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  • Conceiving that the simplest principle is the most likely to be true, he assumed as a postulate that bodies falling freely towards the earth descend with a uniformly accelerated motion, and deduced thence that the velocities acquired are in the direct, and the spaces traversed in the duplicate ratio of the times, counted from the beginning of motion; finally, he proved, by observing the times of descent of bodies falling down inclined planes, that the postulated law was the true law.
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  • Even here, he was obliged to take for granted that the velocities acquired in descending from the same height along planes of every inclination are equal; and it was not until shortly before his death that he found the mathematical demonstration of this not very obvious principle.
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  • When all the bodies of the system are taken into account, the invariable plane is a certain mean among the planes of all the orbits.
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  • Apollonius considered sections of the cone made by planes at any inclination to the plane of the circular base and perpendicular to the triangle containing the axis.
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  • each, whose focal planes, turned towards one another, are separated by 8 in.
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  • In this case the optical tube length equals the distance of the adjacent focal planes of the two systems, which equals the distance of the image-side focus of the objective F 1 ' from the object-side focus of the eyepiece F2.
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  • With powerful systems, object-points lying quite near the plane focused for would be represented by such large dispersion circles that practically only the points lying in one plane appear simultaneously sharp; and it is only by varying the focus that the object-points lying in other planes can be observed.
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  • The magnification of a microscope is determined from the focal lengths of the two optical systems and the optical tube length, for N = 250 A/fi'f2 To determine the optical tube length 0, it is necessary to know the position of the focal planes of the objective and of the ocular.
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  • This is identical with the angle between the horizontal planes at the place and at the equator, and also with the elevation of the celestial pole above the horizon (see Astronomy).
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  • angles formed by the lateral and median planes are the diagonal planes and in these flowers the petals which alternate with the sepals are cut by the diagonal planes.
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  • In contrast with this are polysymmetrical or actinomorphic flowers, which have a radial symmetry and can be divided by several planes into several exactly similar portions; such are all regular, symmetrical flowers.
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  • Leaves of planes are abundant, and among the plants recorded are two figs, a laurel, a Robinia, a Grevillea and a palm.
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  • 70°, the Tertiary wood seem to have been principally composed of planes and Sequoias; but a large number of other genera occur, the total number of plants already recorded being 137.
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  • The presence of bedding or cleavage planes against the general slope reduces the propensity for mass movements to grade the slope.
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  • Replica planes perform exciting aerobatics whilst troops work on the ground.
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  • include some aerobatics in the flight and you are enjoying the most exciting of all adventure days. More about the planes here.
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  • aggressor planes attacked the wider densely populated area of this town.
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  • But the aging McDonnell Douglas planes in the SAS fleet do emit significantly more pollution than the more modern airbuses.
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  • Several Brothers to the Rescue planes violated Cuban airspace over the City of Havana.
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  • amino acid residues the peptide planes therefore are usually put in first position.
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  • anticipated debut album ' WAVING AT PLANES ' .
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  • astral planes.
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  • Planes The United Express fleet includes 50 seat regional jets that have state of the art avionics and communications systems in the cockpit.
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  • RAF planes recently were bombing Iraqis in support of the latest US attempt to " root out terrorists " close to the Syrian border.
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  • An advocate of wheeled boats and inclined planes on tub-boat canals.
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  • Figure 2 - Below the first series resonance, the impedance depends on the total capacitance of the planes.
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  • Thus the user can measure bond lengths, interatomic distances, angles between bonds and planes; create centroids and more.
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  • cleavage planes the atomic bonding is weak compared to within the planes.
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  • clipping planes are shown.
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  • They told of the planes high up in the sky dropping cluster bombs, tearing people to bits.
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  • During the War, three British fighter planes collided over Lea.
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  • As a finale, they turned the leaflets into paper planes and fired then across the terminal concourse!
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  • conker fights, paper planes and even oranges have also been banned from some schools in case children injure themselves.
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  • Its short exhaust pipes spat fumes and oil in the pilots face and on some occasions even ignited the planes fabric covering.
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  • Note how the angle of the fracture surfaces mimics the angle of the slip planes in the deformed crystal.
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  • D-day beaches, they had been hit by friendly fire and American planes killed his comrades.
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  • declivity of these mountains confronts the Zanzibar coast, but the western slopes are merely inclined planes.
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  • He said Iraqi air defense units had fired on the planes.
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  • deva planes, are sensuous planes of existence.
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  • diffract strongly at specific angles that are dependent on the separation between the planes.
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  • dimmed lighting to evade detection from the many Japanese planes constantly patrolling the area.
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  • dissipation of mechanical energy on slip planes.
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  • Obviously, there is no problem with twin-engined planes, but the usual choices occur with single-engined fighters.
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  • fighter planes are at your command.
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  • flak cannons and planes on deck.
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  • flyable planes are added.
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  • fly-by-wire planes are indeed affected by computers and digital music systems.
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  • The range includes graders, scrapers and land planes - all of which have been well-proven working in the harshest of environments.
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  • gunnery target range was devised to enable the planes based at Turnberry to practice on moving targets.
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  • The next week we had three of our planes in our main hanger for periodic inspection.
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  • Their range of rounders and trapping planes provide the means to do the job properly by hand or using a slow-speed lathe headstock.
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  • hijacking of planes a legitimate means of gaining permanent status in the UK?
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  • hijack planes they were taught to use small knives.
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  • All of the 9/11 terrorists had fake ids, yet they still got on the planes.
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  • inclined planes worked by steam engines.
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  • Points of Special Interest: The canal had no locks but had three inclined planes which took the boats down a slope on rails.
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  • It incuded 3 inclined planes with 57, 56 and 84 feet rises plus two locks.
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  • inclined planes on tub-boat canals.
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  • The green tax switch - taxing gas-guzzlers and planes to cut income tax - is essential.
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  • The Pentagon plans to develop sea-based interceptors, fit lasers to planes, and to explore the use of firing rockets from space.
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  • intersection of three planes.
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  • In these films newly invented rays stop the engines of planes in flight.
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  • isotropic face plates and a core with equal shear stiffness in all planes through the depth.
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  • Are we all going to board planes in orange jumpsuit?
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  • The example of its use in the van seems justifiable, its use in planes is logical.
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  • kamikaze pilots to certain death by crashing their planes into targets.
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  • kamikaze bomber planes were spending their dotage working for Mr. Suzuki.
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  • Planes brought others of the privileged, settling on the new airstrip, which was ablaze with landing and fairy lights.
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  • magma intruded onto bedding planes of sedimentary rocks.
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  • When mixed with other metals e.g. magnesium, to form an alloy it can be used in planes and trains.
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  • manifests on all planes.
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  • Micaceous: containing the mineral micaceous: containing the mineral mica, recognizable by the reflections of its single cleavage planes.
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  • microstructure in a polycrystalline material is strongly dependent on lattice planes.
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  • It has just been reported that miniature fighter planes piloted by specially trained circus midgets, have flown several shorties against Iraq today.
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  • Three times ' planes flew overhead, but always at a very great height, and they did not molest the ship.
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  • nodal planes, all of which include the z -axis.
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  • oscillatey light consists of waves oscillating in all planes perpendicular to the direction of propagation (Fig.
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  • US, French and British aircraft greatly outnumbered German planes, which gave them freedom of the skies.
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  • overlay planes let items be drawn on top of the main graphics window without damaging the contents of the windows beneath.
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  • In addition, the attacking planes would fly low, strafing the emergency personnel with machine gun fire.
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  • Saddam may be a nasty piece of work but he had nothing to do with flying planes into the World Trade Center.
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  • As such it opens our psychic faculties and link and understanding of the astral planes.
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  • The world's modern fighter planes are at your command.
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  • By this the strategists usually seem to mean using special forces or satellite-guided bombs or pilotless reconnaissance planes.
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  • polluterich airport the most heavily polluting planes are charged.
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  • propeller planes from New Zealand.
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  • The result of akusala kamma of a lesser degree conditions rebirth in other unhappy planes, such as the animal world.
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  • reborn in higher heavenly planes which are not sensuous planes.
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  • The ship had been spotted by RAF reconnaissance planes and Ursula informed of her course.
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  • recreated in the earlier war film classic A Bridge Too Far with real planes and parachutists.
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  • refueling planes are reported to be under repair.
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  • They stopped in Germany where, rather than simply refueling, they changed planes.
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  • It was the second time in three days that planes had struck cable repeater sites in the south.
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  • The company built many sea planes including the largest ever metal seaplane The Princess.
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  • He began developing a series of float seaplanes soon afterward and produced four streamlined float planes.
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  • Those who see the disadvantages of sense-impressions may cultivate jhana; they can be reborn in higher heavenly planes which are not sensuous planes.
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  • sorcery world, with modern machinery such as tanks and battle planes.
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  • spacing of the planes of atoms inside the crystal, according to his son Bragg's Law.
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  • strafed by German planes.
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  • strafegroup of US planes struck 60 miles south of Hanoi today while bombing and strafing guerrilla positions.
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  • sucker growth and the young growth of pollarded planes is often affected.
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  • The map is completely symmetrical, both planes are identical.
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  • tangent planes make an angle of.
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  • towing gliders made easy prey for enemy planes.
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  • When the Serbs ignored a UN ultimatum to silence their heavy weapons, NATO planes began to bomb Serbian ammunition depots.
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  • Unmanned Aerial Vehicles are effectively unmanned Aerial Vehicles are effectively unmanned planes, which are used in battle to take aerial photos and drop bombs on targets.
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  • Planes glide through the sea, yet emerge unscathed.
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  • The periodic shedding of the tip vortex at the blade tip is also observed in vorticity contour plots measured at the of axial planes.
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  • Defense Minister Alain Richard said that France was prepared to use warplanes to shoot down hijacked planes.
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  • More than 300 planes attacked the US Fleet and American forces lost 18 warships, 188 aircraft and more than 2,400 servicemen.
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  • The system will cut down on flight problems caused by bad weather enabling planes to land in low cloud.
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  • (4) Part of the coastal region of IndoAfrica, terraced downwards in successive horizontal planes from the Shot, reaching the sea in the Little Syrte, and continuing to the southern depressions of Syria.
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  • (5) On the Equilibrium of Planes or Centres of Gravity of Planes (Peri epipedon isorropeon e kentra baron epipedon).
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  • The best crystals are the brilliant, blackish-brown prisms with terminal pyramidal planes (fig.) from the Restormel iron mines at Lostwithiel, and the Botallack mine at St Just in Cornwall.
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  • 4b-9 (which may have been composed in the 9th century B.C.) clearly suggests, and it is strongly sustained by the overwhelming evidence of the powerful influence of Babylonian culture in the Palestinian region during the centuries 2000-1400 B.C. 2 Probably in our modern construction of ancient Hebrew history sufficient consideration has not been given to the inevitable coexistence of different types and planes of thought, each evolved from earlier and more primordial forms. In other words we have to deal not with one evolution but with evolutions.
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  • These contours intersect the ground at a given distance above or below the level of the sea, and thus bound a series of horizontal planes (see fig.
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  • The copper deposits are mainly in well-marked fracture planes in serpentine; the ore is pyrrhotite, with or without chalcopyrite.
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  • The orbital planes of earth and moon are inclined to each other at an angle of 50.8 ° and at two points only in its orbit can the moon be situated in the plane of the ecliptic: the line joining these two points is called the "line of nodes."
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  • angles of 60° and 120°, and, with the exception of the basal planes, are only rarely bounded by smooth and well-defined faces.
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  • Since the circulation round any triangular area of given aspect is the sum of the circulation round the projections of the area on the coordinate planes, the composition of the components of spin,, 7,, is according to the vector law.
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  • In astronomy, we are principally concerned with the orientation of points on a sphere - the so-called celestial sphere - with regard to certain planes and points within the sphere; this subject is treated in the article Astronomy (Spherical).
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  • o -1 - ????'?s, to a shear on vertical and horizontal planes.
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  • The planes of cleavage will be approximately perpendicular to the earth pressures which acted in the district; hence the strike of the cleavage (i.e.
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  • It is therefore not surprising to find that many peoples on the lower planes of culture respect and even worship animals (see Totem; Animal Worship); though we need not attribute an animistic origin to all the developments, it is clear that the widespread respect paid to animals as the abode of dead ancestors, and much of the cult of dangerous animals, is traceable to this principle.
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  • But on the celestial sphere the great circles of these two planes are coincident, so that this distinction is not necessary (see Astronomy: Spherical).
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  • Gauss (Dioptrische Untersuchungen, Göttingen, 1841), named the focal lengths and focal planes, permits the determination of the image of any object for any system (see Lens).
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  • The planes therefore lifted 2.5 lh per sq.
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  • The analogous question of the classification of quartics (in particular non-singular quartics and nodal quartics) is considered in Zeuthen's memoir " Sur les differentes formes des courbes planes du quatrieme ordre " (Math.
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  • Fauque de Jonquieres, " Theoremes generaux concernant les courbes geometriques planes d'un ordre quelconque," Liouv.
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  • Maillard in his These, Recherche des caracteristiques des systemes elementaires des courbes planes du troisieme ordre (Paris, 1871).
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  • With a crossed polarizer and analyser the rings are interrupted by a dark hyperbolic brush that cuts the plane of the optic axes at right angles, if this plane be at 45° to the planes of polarization and analysation - the so-called diagonal position - and that becomes a rectangular cross with its arms parallel and perpendicular to the plane of the optic axes when this plane coincides with the plane of primitive or final polarization - the normal position.
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  • This consists of two plates of an uniaxal crystal of equal thickness, cut at the same inclination of about 45° to the optic axis and superposed with their principal planes at right angles.
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  • These attain their maximum visibility when the plane of analysation is at 45° to these planes, and vanish when the plane of polarization is parallel to either of the principal planes.
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  • When the polarizer and analyser are parallel or crossed, the pattern is the same as with inactive plates, with the exception that the brushes do not extend to the centre of the field; but as the analyser is rotated a small cross begins to appear at the centre of the field, while the rings change their form and become nearly squares with rounded corners, when the planes of polarization and analysation are at 45°.
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  • A plane passing through the anterior and posterior sepal and through the floral axis is termed the median plane of the flower; a plane cutting it at right angles, and passing through the lateral sepals, is the lateral plane; whilst the planes which bisect the ?? ?
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  • 3), a genus of doubtful affinities, which has been compared by different authors to the poplars, planes, limes and other orders.
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  • 70°, the Tertiary wood seem to have been principally composed of planes and Sequoias; but a large number of other genera occur, the total number of plants already recorded being 137.
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  • The sequence had been recreated in the earlier war film classic A Bridge Too Far with real planes and parachutists.
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  • A third of their refueling planes are reported to be under repair.
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  • MRI also has the unique ability to acquire images in numerous planes without repositioning the patient.
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  • Look toward bedding planes showing ripple marks on the left / west side of the quarry.
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  • They are followed by the sound of jet planes soaring overhead.
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  • The game takes place in a sword and sorcery world, with modern machinery such as tanks and battle planes.
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  • Israel uses the planes in sorties over Palestinian territories on the West Bank and Gaza Strip.
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  • These strong reflections depended on the spacing of the planes of atoms inside the crystal, according to his son Bragg 's Law.
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  • One group of US planes struck 60 miles south of Hanoi today while bombing and strafing guerrilla positions.
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  • Planes flown from the US bombed sugar mills, strafed trains and dropped incendiary devices and leaflets on Havana.
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  • I remember my mother telling us that the flint wall running up Bear Road was strafed by German planes.
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  • It most affects lush new growth and sucker growth and the young growth of pollarded planes is often affected.
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  • U.S. planes also hit three mobile surface-to-surface missile launchers in northern Iraq on Tuesday.
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  • Both planes swooped up, from my 'mind 's eye ', little more than 100 feet from the ground.
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  • At the line of symmetry where the two segments meet, the tangent planes make an angle of.
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  • Air superiority was essential for glider ops; slow moving aircraft towing gliders made easy prey for enemy planes.
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  • In the image the planes are shown in a different triclinic unit cell.
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  • Unmanned Aerial Vehicles are effectively unmanned planes, which are used in battle to take aerial photos and drop bombs on targets.
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  • Let the children know that they'll be creating their own planes, trains, and automobiles at the party, and they'll get to be in their very own parade!
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  • Print this onto some cute train, planes & automobiles paper.
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  • Planes, Trains, and/or Automobiles Theme-This theme is always popular for little boys.
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  • Planes, trains, and automobiles - Look for softer versions of these popular gifts in rubber or cloth materials.
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  • For instance, some collectors prefer World War II-era fighter planes.
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  • Making your own planes has remained relatively popular over the decades and with advances in technology for beginners, having a home-brew aircraft is within reach for most people.
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  • The actual planes seat anywhere from one to four people simply because the materials and construction used are conducive for larger types of aircraft.
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  • Composite planes have a high tensile strength with a sturdy body.
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  • Composite molded planes provide major parts of the plan already shaped.
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  • Trains or buses are much less polluting than planes.
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  • It is important to note that these are not all of the alternative methods of fueling vehicles, planes and even everyday appliances.
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  • These two planes form the living room below and the master bedroom above.
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  • Whether you enjoy guns, hand-to-hand combat or ships and fighter planes, you'll find them online.
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  • Thus, when aircraft designers are making new planes, they use snow machines to test how well the plane will function in these conditions.
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  • Planes are another popular theme and the patterns are often combined with trains.
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  • I used to take my parents home video camera out into the backyard and make little "movies" with my model planes.
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  • He is also a certified airline pilot, and owns his own small fleet of planes.
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  • After the devastating earthquake that hit Haiti in early 2010, Travolta flew one of his planes, a 707, to the region, carrying supplies, medics and Scientology healers.
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  • Travolta holds his pilot's license and is an avid fan of all kinds of aircraft, and his personal collection consists of five planes.
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  • Harrison Ford enjoys the perks of his own collection of aircraft, which includes historic military planes and a variety of helicopters.
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  • The list of celebrities who own planes and other aircraft is quite lengthy, and seems to be growing all the time.
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  • The Planes are easily increased by cuttings and layers, but planters should in all cases avoid them, as they cannot expect from such beginnings the fine, rapid, natural growth and true form of the tree.
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  • The band was flying from Nova Scotia to Nebraska on United Airlines.The incident occurred as the band was changing planes at Chicago's O'Hare airport.
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  • Have each participant design and fold his or her own paper airplane or planes.
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  • Explore places like an underground Dwarven city, the dark keep of a Vampire lord or other dimensional planes.
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  • You will explore dark and dangerous places like the labyrinthine, the ruined dwarven city underneath the earth, an unholy keep of a vampire, and other dimensional planes.
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  • You'll drive planes, trains, and automobiles in a series of missions set all around the vast landscape of San Andreas.
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  • You have been called to stop a threat on the Planes of Power.
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  • Fiona Vie has summoned you to stop a terrible threat on the Planes of Power.
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  • You must then travel through the Planes of War to begin your journey.
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  • Create your character to prepare yourself for a quest that will take you through many different dimensional planes.
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  • Use weapons and magic to work your way through the Plane of War and others to stop (or help?) the new power that has caused destruction in all of the other planes.
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  • Now they must find a way to stop them before their realm and all the other planes are destroyed.
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  • Some weapons have a homing device which will chase down enemy tanks, planes, turrets, or infantrymen without you worrying.
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  • I had shot down a few planes and a large Personnel Carrier was dropping more infantrymen on the base I was protecting.
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  • This didn't happen just once, sometimes they would fire on planes that already when down, or trees for no reason.
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  • Modern planes fly off the lift generated by air passing under their wings.
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  • Due to aerodynamics, planes have to move relatively swiftly - forcing a large volume of air under those fixed wings - to avoid dropping like stones.
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  • If you were to analogize them to the animal kingdom, planes would be birds, moving linearly and swiftly by wing power, and copters would be insects, darting about using multiple wings.
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  • Flying a video game copter is an adjustment for anyone who's only familiar with planes.
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  • As with planes, altitude and speed keep you alive.
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  • Because choppers are loud and relatively slow compared to planes, they present an easier target to foes at all elevations.
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  • A copter can't outclimb or outrun most planes.
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  • Sky Odyssey is an action game where you can fly and customize a selection of planes.
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  • Sky Odyssey is an action game where you get to fly a selection of planes: Swordfish MK, BF-109, Pulse Jet, and Shinden-Kail.
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  • For many antique tool collectors, the most desirable Stanley woodworking tools are planes.
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  • However, according to the Stanley numbering system, there are more than 608 models of woodworking planes.
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  • These include planes of companies acquired by Stanley that were made under the Stanley Company name such as Bailey bench planes or those patented by Miller.
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  • The Stanley Rule and Level Company's Combination Planes by Kenneth D.
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  • The Super Tool website, called Patrick's Blood and Gore, is a detailed work on antique Stanley planes.
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  • Leach, includes pictures, a detailed history, evolution and use of many planes.
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  • When you think of antique hand tools used for woodworking, the ones that most likely come to mind are the more common tools such as hammers, screwdrivers, wood planes and saws.
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  • Specializing in Stanley planes, Super Tool provides information, pictures and current values.
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  • A number of collectors of antique Stanley planes love using their old treasures because of their fine craftsmanship and excellent quality.
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  • One of the most collectible of the old hand tools, Stanley woodworking planes are considered by many to be collectibles that are meant to be used.
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  • Many of these planes are often found at garage sales, flea markets and online auctions at reasonable prices.