Right-angles sentence example

right-angles
  • He led the horse around and they left the ravine, traveling at right angles to the path the Indians had taken.

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  • I can't stand all the right angles in here, by the way.

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  • All the right angles she abhorred weren't taking the edge off of him this night.

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  • The streets cross each other at right angles and afford fine vistas on every side.

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  • From these streets others strike at right angles down to the harbour, while others again lead obliquely up towards the Belt, beyond which are extensive suburbs.

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  • The microscope or viewing telescope is fitted with a spider-line micrometer having two screws at right angles to each other, by means of which readings can be made first on one reseau-line, then on the star, and finally on the opposite reseau-line in both co-ordinates.

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  • The city is built with its streets running between the cardinal points of the compass and crossing each other at right angles.

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  • It consists of four hemispherical cups, mounted one on each end of a pair of horizontal arms, which lie at right angles to each other and form a cross.

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  • In the second class there are, in addition to the lifting motion, two horizontal movements at right angles to one another.

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  • Whilst it is being paid out the portion between the surface of the water and the bottom of the sea lies along a straight line, the component of the weight at right angles to its length being supported by the frictional resistance to sinking in the water.

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  • Using these buoys to guide the direction of tow, a grapnel, a species of fivepronged anchor, attached to a strong compound rope formed of strands of steel and manila, is lowered to the bottom and dragged at a slow speed, as it were ploughing a furrow in the sea bottom, in a line at right angles to the cable route, until the behaviour of the dynamometer shows that the cable is hooked.

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  • The town dates from 1852, is attractively situated, and is regularly laid out with broad, straight streets crossing each other at right angles.

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  • It may be asked, Why can God not create a triangle whose three angles shall not be equal to two right angles?

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  • Thus, for example, in a mountain range at right angles to a prevailing sea-wind, it is the land forms which determine that one side of the range shall be richly watered and deeply dissected by a complete system of valleys, while the other side is dry, indefinite in its valley systems, and sends none of its scanty drainage to the sea.

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  • The article REFLECTION explains the symmetrical arrangement of images formed by two mirrors inclined at an angle which is a sub-multiple of four right angles.

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  • It is penetrated by numerous spurs of this range, which strike the sea abruptly at right angles to the coast, and in many cases plunge down into it sheer.

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  • The other streets run at right angles to one another.

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  • The western or outer front is flanked on each side by a projecting wing, with a row of three smaller Doric columns between Antae at right angles to the main portico.

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  • At right angles to this street lanes ascend the hill-side to Hillhead, where the more modern structures and villas have been built.

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  • The grubs, when hatched, start galleries nearly at right angles to this, and when fully grown form oval cells in which they pupate; from these the young beetles emerge by making circular holes directly outward through the bark.

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  • Occupying the southern slopes of a hill on the left bank of the Earn, here crossed by a bridge, it practically consists of a main street, with narrower streets branching off at right angles.

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  • They are placed either on the departure side parallel to the platform (" side " stations) or at right angles to the rails and platforms (" end " stations).

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  • The increased loading space required in the sheds is obtained by multiplying the number and the length of lines and platforms; sometimes also there are short sidings, cut into the platforms at right angles to the lines, in which wagons are placed by the aid of wagon turn-tables, and sometimes the wagons are dealt with on two floors, being raised or lowered bodily from the ground level by lifts.

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  • This hook swings on the pivot B, and has an arm which extends backwards, practically at right angles with the working face of the hook, FIG.

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  • The town consists of one wide street, down which a stream of water runs, extending for about 1 m., and crossed at right angles by a lesser street.

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  • In general it rather resembles a closed crown, consisting of a circlet from which rise two arches intersecting each other at right angles.

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  • This column stands up from the base of the flower, almost at right angles to the lip, and it bears at the top an anther, in the two hollow lobes of which are concealed the two pollen-masses, each with its caudicle terminating below in a roundish gland, concealed at first in the pouch-like rostellum at the front of the column.

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  • In some Pulmonata (snails) the foot is extended at right angles to the visceral hump, which rises from it in the form of a coil as in Streptoneura; in others the visceral hump is not elevated, but is extended with the foot, and the shell is small or absent (slugs).

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  • The probable reason for the wall-lines being concentric is that lines passing over the radii as nearly as possible at right angles are the shortest that can be laid on; they therefore use up a smaller quantity of silk and take a shorter time to spin than threads crossing the radii in any other direction; and at the same time they afford them the greatest possible support compatible with delicacy and strength of construction.

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  • Channels formed at right angles to the cultivation ridges provide for the access of water to the crop. The seeds, previously soaked, are sown, usually in March, on the sides of the ridges, and the land watered.

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  • Benzoic acid is pseudo-tetragonal, the principal axis being remarkably long; there is no cleavage at right angles to this axis.

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  • Across it were drawn seven parallels, running through Meroe, Syene, Alexandria, Rhodes, Lysimachia on the Hellespont, the mouth of the Borysthenes and Thule, and these were crossed at right angles by seven meridians, drawn at irregular intervals, and passing through the Pillars of Hercules, Carthage, Alexandria, Thapsacus on the Euphrates, the Caspian gates, the mouth of the Indus and that of the Ganges.

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  • Marco Polo mentions such charts; Vasco da Gama (1498) found them in the hands of his Indian pilot, and their nature is fully explained in the Mohit or encyclopaedia of the sea compiled from ancient sources by the Turkish admiral Sidi Ali Ben Hosein in 1554.1 These charts are covered with a close network of lines intersecting each other at right angles.

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  • The strips (inae, philyrae), which were cut with a sharp knife or some such instrument, were laid on a board side by side to the required width, thus forming a layer (scheda), across which another layer of shorter strips was laid at right angles.

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  • When these first four galleries were full others were mined on the same level at right angles to them, thus gradually converting the whole area into a net-work of corridors.

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  • The flowers are regular, with four free sepals arranged in two pairs at right angles, four petals arranged crosswise in one series, and two sets of stamens, an outer with two members and an inner with four, in two pairs placed in the middle line of the flower and at right angles to the outer series.

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  • On the other hand, there are on the western outskirts of the plateau a few mountain chains which take a direction at right angles to the above (that is, from north-west to south-east), and parallel to the great line of upheavals in south-west Asia.

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  • The pedicle passes out at right angles to the plane of junction of the valves of the shell; the opening is confined to the ventral valve, and may take the form of a slit, or may be closed by the development of a special plate called the listrium, or by a pseudo-deltidium.

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  • The linear invariant a s is such that, when equated to zero, it determines the lines ax as harmonically conjugate to the lines xx; or, in other words, it is the condition that may denote lines at right angles.

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  • It will not in general move along a line of force, as would an isolated pole, but will follow the direction in which the magnetic force increases most rapidly, and in so doing it may cross the lines of force obliquely or even at right angles.

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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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  • The magnetic field due to a long straight wire in which a current of electricity is flowing is at every point at right angles to the plane passing through it and through the wire; its strength at any point distant r centimetres from the wire is H = 21/r, (2) i being the current in C.G.S.

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  • The resultant magnetic force at every point of such a surface is in the direction of the normal (n) to the surface; every line of force therefore cuts the equipotential surfaces at right angles.

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  • If F T is the force along r and F t that along t at right angles to r, F r =X cos 0+ Y sin 0=M 2 cos 0, F t = - X sin 0+ Y cos 0 = - r 3 sin 0.

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  • If a small magnet of moment M is placed in the sensibly uniform field H due to a distant magnet, the couple tending to turn the small magnet upon an axis at right angles to the magnet and to the force is MH sin 0, (17) where 0 is the angle between the axis of the magnet and the direction of the force.

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  • A magnet consisting of a series of plane shells of equal strength arranged at right angles to the direction of magnetization will be uniformly magnetized.

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  • If a hollow sphere 7 of which the outer radius is R and the inner radius r is placed in a uniform field Ho, the field inside will also be uniform and in the same direction as Ho, and its value will be approximately 3 i - R 3 For a cylinder placed with its axis at right angles to the lines of force, 2 = Ho (41) 2 +4(-2)(i - R2) These expressions show that the thicker the screen and the greater its permeability o, the more effectual will be the shielding action.

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  • There are, however, always three principal axes at right angles to one another along which the magnetization and the force have the same direction.

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  • If two magnets having moments M, M' are arranged at right angles to each other upon a horizontal support which is free to rotate, their resultant R will set itself in the magnetic meridian.

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  • The magnetized body which is to be tested should be placed in such a position that the force H P due to its poles may, at the spot occupied by the suspended needle, act in a direction at right angles to that due to the earth - that is, east and west.

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  • In order to fulfil the requirement that the field which a magnetized rod produces at the magnetometer shall be at right angles to that of the earth, the rod may be conveniently placed in any one of three different positions with regard to the suspended needle.

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  • On the other hand, a vertically placed rod is subject to the inconvenience that it is influenced by the earth's magnetic field, which is not the case when the rod is horizontal and at right angles to the magnetic meridian.

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  • If the field is uniform, H=O/wd, where 0 is the rotation, d the thickness of the substance arranged as a plate at right angles to the direction of the field, and w Verdet's constant for the substance.

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  • C. Oersted 6 that a magnet placed near a wire carrying an electric current tended to set itself at right angles to the wire, a phenomenon which indicated that the current was surrounded by a magnetic field.

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  • The centre of the town is formed by the Piazza Vittorio Emanuele (formerly Piazza Maggiore), and the Piazza del Nettuno, which lie at right angles to one another.

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  • Spurs from the Drakensberg, at right angles to the main range, cross the plateaus.

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  • We take a fixed line OX, usually drawn horizontally; for each value of X we measure a length or abscissa ON equal to x.L, and draw an ordinate NP at right angles to OX and equal to the corresponding value of y .

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  • The grating at A and the eye-piece at 0 are rigidly attached to a bar AO, whose ends rest on carriages, moving on rails OQ, AQ at right angles to each other.

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  • These cells of various shapes are seen in large numbers, mainly lying in a direction parallel to the new vessels and capillaries, which all run at right angles to the wound surface.

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  • As gravity and the fluid pressure on the sides of the prism act at right angles to AB, the equilibrium requires the equality of thrust on the ends A and B; and as the areas are equal, the pressure must be equal at A and B; and so the pressure is the same at all points in the same horizontal plane.

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  • A third type is made on the "balance" principle, two plough beams with mould-boards being placed at right angles to one another, so that while the right-hand plough is at work the left-hand is elevated above the ground.

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  • The towns of the coast region are usually built on the same general plan, the streets crossing each other at right angles and enclosing squares, or quadras.

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  • A broad central avenue led straight to the palace, and on either side of it ran four parallel streets, crossed at right angles by smaller thoroughfares.

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  • They are enlarged replicas of the primeval wooden hut described above, having rafters with their upper ends crossed; thatched or shingled roof; boarded floors, and logs laid on the roof-ridge at right angles for the purpose of binding the ridge and the rafters firmly together.

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  • They were built on a rectangular plan, with a large central square and straight thoroughfares running at right angles or parallel to one another, this uniformity of construction being well exemplified in the existing bastide of Monpazier (Dordogne) founded by the English in 1284.

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  • In both Greek and Latin, however, although the upright and cross stroke are frequently not exactly at right angles and the upright often projects beyond the cross stroke, the forms approach more nearly to the modern than to the Semitic shape.

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  • If now we wish to represent the variations in some property, such as fusibility, we determine the freezing-points of a number of alloys distributed fairly uniformly over the area of the triangle, and, at each point corresponding to an alloy, we erect an ordinate at right angles to the plane of the paper and proportional in length to the freezing temperature of that alloy.

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  • This can be done by placing at B an equal negative point-charge -q in the place which would be occupied by the optical image of A if PO were a mirror, that is, let -q be placed at B, so that the distance BO is equal to the distance AO, whilst AOB is at right angles to PO.

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  • The plain and the, road are crossed at right angles by the course of the Brocksburn, or Spott Burn, which at first separated the hostile armies.

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  • The Bingemma range, rising 726 ft., is nearly at right angles to the axis of the main island.

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  • From the bottom there leads P another fine tube, bent upwards, and then at right angles so as to be at the same level as the capillary branch.

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  • When the inclination of the movable half with respect to the axis of the telescope is changed by rotation about an axis at right angles to the plane of division, two images are produced.

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  • Galleries driven at right angles to these are known as a " dip " or " rise headings," according to their position above or below the pit bottom.

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  • In the Gartsherrie machine of Messrs Baird, the earliest of the flexible chain cutter type, the chain of cutters works round a fixed frame or jib projecting at right angles from the engine carriage, an arrangement which makes it necessary to cut from the end of the block of coal to the full depth, instead of holing into it from the face.

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  • When at work it is slowly turned until the carrier is at right angles to the frame, when the cut has attained the full depth.

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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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  • In such cases the engines may be placed in line on opposite sides of the pit, or at right angles to each other.

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  • The moments of the components of these actions and reactions in a plane to which the axis of rotation is at right angles are the two aspects of the torque acting, and therefore the torque acting on B through the shaft is measured by the torque required to hold A still.

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  • The fact that the interior angles of all triangles are equal to two right angles is not part of the definition, but is universally true.

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  • The pattern is that of a true sight, that is to say, the base plate is capable of movement about two axes, one parallel to and the other at right angles to the axis of the gun, and has cross spirit-levels and a graduated elevating drum and independent deflection scale, so that compensation for level of wheels can be given and quadrant elevation.

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  • As he surveyed the field from the windmill north of Fleurus it struck him as significant that Blucher's troops were disposed parallel to the Namur road, as if to cover a forward concentration, and not at right angles to it, as they would be had they been covering a retreat.

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  • It is somewhat like an axe reversed, the edge of the blade curving inward and placed at right angles to the handle.

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  • It is remarkable as being contrary to Roman surveyors' practice, according to which the basis of division is the intersection at right angles of the cardo and decumanus, which would give an even (not an odd) number of smaller squares.

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  • The use of the square bricks familiarizes the scholar with the ideas of parallel lines, of equality of lengths, and of right angles.

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  • The rectangle, for instance, has so far been regarded as a plane figure bounded by one pair of parallel straight lines and another pair at right angles to them, so that the conception of " rectangularity " has had reference to boundary rather than to content; analytically, the rectangle must be regarded as the figure generated by an ordinate of constant length moving parallel to itself with one extremity on a straight line perpendicular to it.

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  • A plane figure bounded by a continuous curve, or a solid figure bounded by a continuous surface, may generally be most conveniently regarded as generated by a straight line, or a plane area, moving in a fixed direction at right angles to itself, and changing as it moves.

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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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  • The most important form of trapezium is that in which one of the two remaining sides of the figure is at right angles to the two parallel sides.

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  • It would be possible to regard this form of the figure as the general one; the figure considered in (i) would then represent the special case in which the two end-pieces of the broken line are at right angles to the base.

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  • Take any base X'X, and draw lines at right angles to this base through all the angular points of the figure.

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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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  • If we draw a line at right angles to TCV, meeting TCV produced in M and parallels through A and B in K and L, the area of the triangle ATB is KL.

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  • In the ordinary case three of the four lateral surfaces of the prismoid are at right angles to the two ends.

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  • On any line OX take a length ON equal to xG, and from N draw NP at right angles to OX and equal to uH; G and H being convenient units of length.

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  • Elements of the graph are shown from an axis through 0 and at right angles to OX.

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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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  • It may be regarded as generated either by a trapezette moving in a direction at right angles to itself and changing its top but keeping its breadth unaltered, or by an ordinate moving so that its foot has every possible position within a rectangular base.

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  • The top is then a parabola whose axis is at right angles to the base; and the area can therefore (§ 34) be expressed in terms of the two bounding ordinates and the midordinate.

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  • Thus we find from (i) that Simpson's second formula, for the case where the top is a parabola (with axis, as before, at right angles to the base) and there are three strips of breadth h, may be replaced by area = 8h(3u i + 2U 1 + 3us).

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  • This value of 0 is the same for all parabolas which pass through D and E and have their axes at right angles to KL.

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  • These coils are placed with their axes at right angles to one another, and at the point where the axes intersect a small pivoted needle of soft iron is placed, carrying a longer index needle moving over a scale.

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  • The two coils, the shunt and the series coil, then produce two magnetic fields, with their lines of force at right angles to one another.

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  • If this is done for every point we obtain a continuous curve Apbqcrd, which represents the displacement at every point at the given instant, though by a length at right angles to the actual displacement and on an arbitrary scale.

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  • Circular nodal lines unaccompanied by intersecting lines cannot be produced in the manner described; but may be got either by drilling a small hole through the centre, and drawing a horse-hair along its edge to bring out the note, or by attaching a long thin elastic rod to the centre of the plate, at right angles to it, holding the rod by the.

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  • The usual definition of the component current in any direction, as the net amount of electrons which crosses, towards the positive side, an element of surface fixed in space at right angles to that direction, per unit area per unit time, here gives no definite result.

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  • To become a medusa, the actinula grows scarcely at all in the direction of the principal axis, but greatly along a plane at right angles to it.

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  • They will alter the shape of mineral particles by broadening them in a direction at right angles to the principal pressures, while they are thinned in the direction in which the pressure acted.

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  • Pressure will also tend to produce an expansion of the rock mass in a direction (usually nearly vertical) at right angles to the compression, for such rocks as slates are distinctly plastic in great masses.

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  • In this way thin laminae would form, lying at right angles to the direction of greatest stress.

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  • The material is sometimes won by the aid of channelling machines which make a series of cuts at right angles to each other in the face of the rock; a block is then broken off at its base by wedges forced into the cuts, and its removal permits access to other blocks.

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  • The movable coil of the wattmeter is normally suspended so that its axis is at right angles to that of the fixed coil, and is constrained by the torsion of a spiral spring.

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  • Parallel to this is Swanston Street, and at right angles to these, parallel to the river.

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  • To produce a medusa the actinula grows greatly along a plane at right angles to the vertical axis of the body, whereby the aboral surface of the actinula becomes the exumbrella, and the peristome becomes the subumbrella.

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  • When a difference of potential is made between the terminals, a current passes through the movable coil, which then tends to place itself with its plane more at right angles to the lines of force of the field.

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  • In the Cistercian monasteries, to keep the noise and smell of dinner still farther away from the sacred building, the refectory was built north and south, at right angles to the axis of the church.

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  • Near the mid line of the body, and at right angles to the last, another reflection, the falciform ligament, runs forward, and the line of attachment of this indicates the junction of the right and left lobes of the liver.

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  • Near the ovary the tubes are closed, but nearer the Fal lopian tube they open into another tube which is nearly at right angles to them, and which runs toward the uterus, though in the human subject is generally lost before reaching that organ.

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  • The best kind of charcoal is that of close-grained pine or alder; it is cut in short prisms, having a flat smooth surface at right angles to the rings of growth.

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  • In astronomy the horizon is that great circle of the sphere the plane of which is at right angles to the direction of the plumb line.

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  • The second great street, Portage Avenue, of the same width as Main Street, runs at right angles to Main Street, and is the mercantile street of the city.

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  • This mirror can rotate about a horizontal axis which is at right angles to the line of collimation of the telescope, and is parallel to the surface of the mirror.

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  • The auxiliary magnet has a plane mirror attached, the plane of which is at right angles to the axis of the magnet.

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  • The axis of the magnet is horizontal and at the same level as the mirror magnet, while when the central division of the scale B appears to coincide with the vertical cross-wire of the telescope the axes of the two magnets are at right angles.

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  • What is known as the method of sines is used, for since the axes of the two magnets are always at right angles when the mirror magnet is in its zero position, the ratio M/H is proportional to the sine of the angle between the magnetic axis of the mirror magnet and the magnetic - = meridian.

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  • Attached to the cross-arm which carries the microscopes used to observe the ends of the dipping needle is a clamp, which will hold the needle b in such a way that its plane is parallel to the vertical circle and its axis is at right angles to the line joining the two microscopes.

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  • Hence, when the microscopes are adjusted so as to coincide with the points of the dipping needle a, the axes of the two needles must be at right angles.

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  • Although a compass may thus be made practically correct for a given time and place, the magnetism of the ship is liable to changes on changing her geographical position, and especially so when steaming at right angles or nearly so to the magnetic meridian, for then sub-permanent magnetism is developed in the hull.

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  • The gimbals or rings for suspension hinged at right-angles to one another, have been erroneously attributed to Cardan, the proper term being cardine, that is hinged or pivoted.

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  • It is usual to take three axes at right angles to each other to represent pressure, temperature and the composition of the variable phase..

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  • The refectory stretches northwards at right angles to the cloister, which lies to the north of the church, having the chapter-house and sacristy on the east.

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  • The cella - divided, like that of Zeus, into three partitions by a double row of columns - had four " tongue-walls," or small screens, projecting at right angles from its north wall, and as many from the south wall.

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  • When in use, it is held at right angles to the periscope above the upper window by a bayonet catch; when not in use, it is lowered and sprung round the body of the periscope just below the upper prism box.

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  • To the former belong the theorems (t), (2), and (3), and to the latter especially the theorem (4), and also, probably, his solution of the two practical problems. We infer, then, [t] that Thales must have known the theorem that the sum of the three angles of a triangle are equal to two right angles.

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  • The east and west walls should run parallel to each other, and at right angles to that on the north side, in all the most favoured localities; but in colder or later ones, though parallel, they should be so far removed from a right angle as to get the sun by eleven o'clock.

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  • The neutralizing conductors for each disk are placed at right angles to each other.

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  • To increase the reservoir capacity of the polder, as well as to conduct the water to the windmills or engines, it is intersected by a network of ditches cut at right angles to each other, the amount of ditching required being usually one-twelfth of the area to be drained.

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  • The Tremellinaceae are characterized by the possession of basidia which are divided by two vertical walls at right angles to one another.

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  • The level bubble, by which the instrument is brought into a position at right angles to the axis of the earth, is generally placed on the top of the telescope.

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  • The borough lies in the valley of the Lehigh river, along which runs one of its few streets and in another deeply cut valley at right angles to the river; through this second valley east and west runs the main street, on which is an electric railway; parallel to it on the south is High Street, formerly an Irish settlement; half way up the steep hill, and on the north at the top of the opposite hill is the ward of Upper Mauch Chunk, reached by the electric railway.

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  • When leaves are opposite, each successive pair may be placed at right angles to the pair immediately preceding.

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  • The general plan of the town is very regular, the streets being generally straight, and crossing one another at right angles or nearly so.

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  • The beds should run at or nearly at right angles to the line of the conductor.

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  • The water flows from the ditches as conductors into built conduits formed at right angles to them in parallel lines through the fields; it rises upwards in them as high as the surface of the ground, and again subsides through the soil and the conduits into the ditches as main drains, and thence it passes at a lower level either into a stream or other suitable outfall.

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  • On the left bank of the Aude, between it and the Canal du Midi, lies the new town, clean, well-built and flourishing, with streets intersecting each other at right angles.

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  • As shown in the figure, it is evident that the motion of o in the line sop would not be recorded, and to obtain a complete record of horizontal movements it is necessary to have two levers at right angles to each other.

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  • As this position is approached the period of swing becomes greater and greater, and sensibility to slight tilting at right angles to the plane of o'o"m is increased.

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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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  • His schemes consisted of series of broad, straight streets, cutting one another at right angles.

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  • The tetraspores may arise by the simultaneous division of the contents of a sporangium, when they are arranged tetrahedrally, or they may arise by two successive divisions, in which case the arrangement may be zonate when the spores are in a row, or cruciate when the second divisions are at right angles to the first, or tetrahedral when the second divisions are at right angles to the first and also to one another.

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  • The eastern parts of Greece are composed almost entirely of Cretaceous beds, but nevertheless they must be considered to belong to the central area, for the folds which affect them are nearly at right angles to those of the western chains.

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  • Between Kala Wamar (6580 ft.) and Kala Khum (4400 ft.), where the Oxus again bends southwards, its course to the north-west is almost at right angles to the general strike of the Darwaz mountains, which is from north-east to south-west, following the usual conformation of all this part of high Asia.

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  • Another of about equal length, starting from the same, central water-parting of this mountain block, and included within the Oxus bend, follows a transverse direction at almost right angles to the Shiwa, and joins the Oxus valley near its debouchment into the more open Kolab plains, where the course of the Oxus has again assumed a direction parallel to the mountain strike.

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  • General Soimonov, with the Sevastopol column, after assembling his troops before dawn on the 5th, led them on to the upland east of Careenage Ravine, while the field army column, under General Pavlov, crossed the Tchernaya near its mouth, almost at right angles to Soimonov's line of advance.

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  • The medullary rays extend radially from the centre of the tree to the bark at right angles to the grain of the wood, and serve during life to bind the whole together as well as to convey nourishment from one part of the tree to another.

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  • Up or down this plain, at opposite seasons, sweep the monsoon winds, in a direction at right angles to that of their nominal course; and thus vapour which has been brought by winds from the Bay of Bengal is discharged as snow and rain on the peaks and hillsides of the Western Himalayas.

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  • In its simplest form the mounting of an equatorial telescope consists of an axis parallel to the earth's axis, called" the polar axis "; a second axis at right angles to the polar axis called" the declination axis "; and the telescope tube fixed at right angles to the declination axis.

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  • Its lower extremity terminates in a fork on which is mounted a mirror C D, capable of turning about A on an axis at right angles to A B, the plane of the mirror being parallel to this latter axis.

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  • Within the focus of the object-glass is a right-angled prism of total reflection, which diverts the converging rays from the object-glass at right angles to the axis of the telescope, and permits the observing micrometer n to be mounted in the very convenient position shown in the figure.

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  • The interval between the true trails, measured at right angles to the direction of the trails, obviously corresponds to the difference of zenith distance of the two stars.

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  • When the line of centres is at right angles to our line of sight, the stars present to us their greatest apparent surface, and therefore send us the maximum light.

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  • Deduction is analysis when it is regressive from consequence to real ground, as when we start from the proposition that the angles of a triangle are equal to two right angles and deduce analytically that therefore (i) they are equal to equal angles made by a straight line standing on another straight line, and (2) such equal angles are two right angles.

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  • But, instead of dealing with points on a line, and then wandering out at right angles to it, as Buee and Argand had done, he chose to look on algebra as the science of " pure time," 1 and to investigate the properties of " sets " of time-steps.

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  • Again, the product of two lines at right angles to one another cannot, even in part, be a number.

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  • The upper end of the suspension is turned till the axis of the magnet is at right angles to the magnetic meridian.

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  • To record the variations of the vertical component use is made of a magnet mounted on knife edges so that it can turn freely about a horizontal axis at right angles to its 1 Report British Association, Bristol, 18 9 8, P. 741.

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  • With the exception of the old quarter, Kolozsvar is generally well laid out, and contains many broad and fine streets, several of which diverge at right angles from the principal square.

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  • Two divisions under Di Giorgio had been dispatched to hold this line, but their march, at right angles to the line of the retreat and athwart the long streams of retiring troops and civilians, had been very difficult.

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  • The construction is neatest if the two arbitrary directions are taken at right angles to one another.

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  • If AB, AC represent infinitesimal rotations about intersecting axes, the consequent displacement of any point 0 in the plane BAC will be at right angles to this plane, and will be represented by twice the sum of the areas OAB, OAC, taken with proper signs.

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  • We examine first the case where the axes of the two screws are at right angles and intarsect.

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  • The displacement of G is at right angles to JG; this shows that for equilibrium JG must be vertical.

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  • The simplest case is that of a frame of three bars, when the three joints A, B, C fall into a straght line; a small displacement of the joint B at right angles to AC would involve changes in the lengths of AB, BC which are only of the second order of small quantities.

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  • In skew-bevel wheels the properties of a line of connection are not possessed by every line traversing the line of contact, but only by every line traversing the line of contact at right angles.

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  • The pitch-circles of a pair of circular toothed wheels are sections of their pitch-surfaces, made for spur-wheels (that is, for wheels whose axes are parallel) by a plane at right angles to the axes, and for bevel wheels by a sphere described about the common apex.

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  • The ordinary position of a pair of endless screws is with their axes at right angles to each other.

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  • To obviate the unsteadiness of motion which this tends to cause, the shafts are provided with a second set of cranks at right angles to the first, connected by means of a similar coupling-rod, so that one set of cranks pass their dead points at the instant when the other set are farthest from theirs.

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  • It can be proved that the point C always moves in a straight line at right angles to the line EF.

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  • To find the instantaneous centre for a particular link corresponding to any given configuration of the kinematic chain, it is only necessary to know the direction of motion of any two points in the link, since lines through these points respectively at right angles to their directions of motion.

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  • Hence set out the possible direction of Bs motion in the velocity diagram, namely cbi, at right angles to CB.

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  • But tile point B must also move at right angles to AB in the case under consideration.

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  • Hence draw a line through O in the velocity diagram at right angles to AB to cut cbi in b.

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  • The directions of the radial and tangential accelerations of the point B are always known when the position of the link is assigned, since these are to be drawn respectively parallel to and at right angles to the link itself.

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  • To find the angular acceleration A, draw kI, bt respectively parallel to and at right angles to the link KB.

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  • The method of vine cultivation is peculiar and characteristic. The vines are kept very low, and as a rule only two branches or arms, which are trained at right angles to the stem, are permitted to form.

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  • The flax is placed in the upper chamber and covered by two sets of rods or beams at right angles to each other.

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  • The first reel is placed to the right of the machine near the floor, and the second at the back of the machine and at right angles to it.

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  • The two first lie in line, separated by the narrow Chapalulu Strait; Besi extends at right angles to the south coast of Mangoli.

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  • The town is situated on the left bank of the Jed, the main streets running at right angles from each side of the central market-place.

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  • Recent investigations show that all the chief rivers of Nepal flowing southwards to the Tarai take their rise north of the line of highest crests, the " main range " of the Himalaya; and that some of them drain long lateral high-level valleys enclosed between minor ridges whose strike is parallel to the axis of the Himalaya and, occasionally, almost at right angles to the course of the main drainage channels breaking down to the plains.

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  • In attempting to calculate the effect of this surface-tension in determining the form of a drop of the liquid, Segner took account of the curvature of a meridian section of the drop, but neglected the effect of the curvature in a plane at right angles to this section.

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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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  • He thus found for the pressure at a point in the interior of the fluid an expression of the form p =K+ZH(1/R+i/R'), where K is a constant pressure, probably very large, which, however, does not influence capillary phenomena, and therefore cannot be determined from observation of such phenomena; H is another constant on which all capillary phenomena depend; and R and R' are the radii of curvature of any two normal sections of the surface at right angles to each other.

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  • A number of smaller streets intersect the Hauptstrasse at right angles and run down to the river,which is crossed by two fine bridges.

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  • This great artery and Unter den Linden are crossed at right angles by the Friedrichstrasse, 2 m.

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  • This curve is the envelope of a line of constant length, which moves so that its extremities are always on two fixed lines at right angles to each other, i.e.of the line xla+y//= I, with the condition a 2 + 1 3 2 = I/a, a constant.

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  • There are two main classes of river-course - those flowing down the dip-slopes at right angles.

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  • On the north-west this rugged highland region is well defined by the distinctive transverse ridge of Andi, which to the east of Kasbek strikes off from the Caucasus range almost at right angles.

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  • The methods of culture are primitive, the plough commonly used being a long pole with two vertical iron teeth and a smaller pole at right angles to which oxen are attached.

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  • In buildings of small width in proportion to their height this method of securing rigidity, is generally found to be inadequate, and the frame is also braced at right angles to the outer walls to take up the strains directly.

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  • All abutting joints in riveted work are faced to exact lengths and absolutely at right angles to the axis of the piece, and are spliced by scarf plates of proper dimensions adequately secured by rivets.

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  • The name Retinospora, therefore, does not stand for a true genus, but denotes persistent young forms of Juniperus, Thuja, Cupressus, &c., in which the small scaly leaves of ordinary species are replaced by the slender, needle-like leaves, which stand out more or less at right angles from the branches.

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  • The occurrence of short tracheids in close proximity to the veins is a characteristic of coniferous leaves; these elements assume two distinct forms - (I) the short isodiametric tracheids (transfusion-tracheids) closely associated with the veins; (2) longer tracheids extending across the mesophyll at right angles to the veins, and no doubt functioning as representatives of lateral veins.

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  • The maximum principal stresses are represented by the directions and thicknesses of the two systems of intersecting lines mutually at right angles.

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  • The two systems of lines mutually at right angles show the directions of the maximum and minimum stresses respectively.

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  • E, Section through a dividing calicle of Mussa, showing the union of two septa in the plane of division, and the origin of new septa at right angles to them.

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  • The general structure of this coral leaves no doubt that it is closely allied to the Astraeidae, but in the young calicles a tetrameral symmetry is indicated by the presence of four large septa placed at right angles to one another.

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  • The large traffic on Lake Erie has brought into existence a number of important harbours on the south shore, nearly all artificially made and deepened, with entrances between two breakwaters running into the lake at right angles to the coast line.

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  • The stereom and stroma become arranged in folds and strands at right angles to the sutures of the thecal plates; in higher forms the stereom-folds are in part specialized as pectini-rhombs.

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  • The Protocrinidae lead up to Proteroblastus, in which the theca is ovoid, sometimes prolonged into a stem, the plates differentiated into (a) smooth, irregular, depressed interambulacrals, (b) transversely elongate brachioliferous adambulacrals, to which the diplopores, which lie at right angles to the main food-groove, are confined.

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  • It is to be noticed here that the axes of co-ordinates may be any two lines at right angles to each other whatever; and that the equation of a curve will be different according to the selection of the axes of co-ordinates; but the order is independent of the axes, and has a determinate value for any given curve.

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  • Many well-known derivative curves present themselves in this manner; thus the variable curve may be the normal (or line at right angles to the tangent) at any point of the given curve; the intersection of the consecutive normals is the centre of curvature; and we have the evolute as at once the locus of the centre of curvature and the envelope of the normal.

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  • It may be added that the given curve is one of a series of curves, each cutting the several normals at right angles.

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  • We have in like manner, as derivatives of a given curve, the caustic, catacaustic or diacaustic as the case may be, and the secondary caustic, or curve cutting at right angles the reflected or refracted rays.

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  • There are two non-singular kinds, the one with, the other without, an oval, but each of them has an infinite (as Newton describes it) campaniform branch; this cuts the axis at right angles, being at first concave, but ultimately convex, towards the axis, the two legs continually tending to become at right angles to the axis.

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  • The notions of distance and of lines at right angles are connected with the circular points; and almost every construction of a curve by means of lines of a determinate length, or at right angles to each other, and (as such) mechanical constructions by means of linkwork, give rise to curves passing the same definite number of times through the two circular points respectively, or say to circular curves, and in which the fixed centres of the construction present themselves as ordinary, or as singular, foci.

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  • Again, the normal, qua line at right angles to the tangent, is connected with the circular points, and these accordingly present themselves in the before-mentioned theories of evolutes and parallel curves.

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  • At the top it is connected by a capillary tube bent at right angles to a series of absorbing vessels, the connexion being effected by stopcocks.

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  • The narrow parallel troughs, at right angles to the coast, which form the drainage-system of Sweden and western Finland, are a remarkable feature.

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  • Bloemfontein is a very pleasant town, regularly laid out with streets running at right angles and a large central market square.

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  • The " exceedingly irregularly rounded, low-pointed mountains and hills covered by dense forests " (Hill) are Antillean, not Andean, and lie at right angles to the axes of the systems of North and South America.

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  • Finally, at the extreme west of the whole district, Cithaeron is bent round at right angles in the direction oft the isthmus, at the northern approach to which it abuts against the mighty mass of Mount Geraneia, which is interposed between the Corinthian and the Saronic Gulf.

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  • The straight canals running at right angles to the river, the broad, straight treeplanted streets, the spacious squares, and the solid plain public buildings would not be unworthy of a town in the Netherlands.

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  • The determining feature of this is the Pagasaeus Sinus (Gulf of Volo), a landlocked basin, extending from Pagasae at its head to Aphetae at its narrow outlet, where the chain of Pelion, turning at right angles to its axis at the end of Magnesia, throws out a projecting line of broken ridges, while on the opposite side rise the heights of Othrys.

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  • To measure the difference between the longitudinal co-ordinates of two objects by means of a graduated circle the instruments must turn on an axis parallel to the principal axis of the system of coordinates, and the plane of the graduated circle must be at right angles to that axis, and, therefore, parallel to the principal co-ordinate plane.

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  • The telescope, in order that it may be pointed in any direction, must admit of two motions, one round the principal axis, and the other round an axis at right angles to it.

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  • Take a rod LMN bent at right angles at M, such that MN= AB; let the leg LM always pass through a fixed point 0 on AB produced such that OA = CA, where C is the middle point of AB, and cause N to travel along the line perpendicular to AB at C; then the midpoint of MN traces the cissoid.

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  • Although the flint nodules often lie in bands which closely follow the bedding, they were not deposited simultaneously with the chalk; very often the flint bands cut across the beds of the limestone and may traverse them at right angles.

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  • In fact, whatever theory of light be adopted, there are two vectors to be considered, that are at right angles to one another and connected by purely geometrical relations.

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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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  • On the south the principal streams, after cutting their way through the highest zone at right angles to the general direction of the range, become involved half-way to the plains in great longitudinal folds, from which they make their escape only after traversing long distances without finding an outlet.

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  • Taramelli (Notizie degli Scavi, 1905, 41 seq.) rightly points out that the nucleus of the Roman municipium is probably represented by the present quarter of the Marina, in which the streets intersect at right angles and Roman remains are frequently found in the subsoil.

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  • A little below the Boiling Pot, and almost at right angles to the falls, the cañon is spanned by a bridge (completed in April 1905) which forms a link in the Cape to Cairo railway scheme.

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  • By means of screws the stage plate is movable in two directions at right angles to one another, in the plane of the stand.

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  • A cross-table is very convenient for this calculation, for with the aid of the two movable slides situated in the plane of the plate and at right angles to one another, the point where the two crystal edges intersect can be quickly and correctly brought into the revolving axis of the plate.

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  • This ray is also given a periodic motion of the same frequency by reflection from a separate oscillating mirror so as to make the two motions at right angles to one another, and thus we have depicted on the screen a bright line having the same form as the periodic current being tested.

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  • If this patch is also given a displacement in the direction of right angles by examining it in a steadily vibrating mirror, we see a wavy or oscillatory line of light which is an optical representation of the wave form of a current in the coils embracing the Braun tube.

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  • The wide streets cross one another for the most part at right angles.

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  • The east and west sides are parallel, and two roads at right angles divide the settlement into four quarters.

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  • The dirt airstrip at Lukla is cut into a terrace at right angles to the main valley.

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  • A series of rectangular small pools are set at right angles to the main channel, each with its own bubbling fountain.

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  • In theory, too, the peak halyard should be pulling at right angles to the gaff.

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  • Because this leads to insupportable coherency strains, dislocations form in two directions at right angles on the surface of the albite lamellae.

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  • The mine itself consisted of several parallel passages which were at right angles to the mineral lodes.

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  • At a second contact larger feldspar phenocrysts had grown at right angles to the contact plane.

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  • Turn the inner sleeve up at right angles to the outer Keep the lid on your turntable closed at all times.

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  • Based on rather circumstantial evidence, jets are thought to emerge from the AGN at right angles to the dust torus.

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  • Its still important to get some good right angles or else the toy will still look wonky.

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  • The principle of Gascoigne's micrometer is that two pointers having parallel edges at right angles to the measuring screw, are moved in opposite directions symmetrically with and at right angles to the axis of the telescope.

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  • At the focus of his telescope he placed fine silver wires at right angles to each other, which, by their intersection, formed a network of small squares.

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  • The mutual distances of the intersecting wires he determined by counting, with the aid of a pendulum clock, the number of seconds required by an equatorial star to pass from web to web, while the telescope was adjusted so that the star ran parallel to the wires at right angles to those under investigation.

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  • Repsolds in more recent micrometers under construction give a second motion to the eyepiece at right angles to the axis of the micrometer screw; this enables the observer to determine the zero of position-angle for his movable webs with the same accuracy as he formerly could only do for the so-called position-angle webs.

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  • The webs of each set of movable webs shall, inter se, be strictly parallel, and the two sets shall be strictly at right angles to each other.

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  • In the Potsdam form of this apparatus the micrometer is, for convenience, provided with a motion at right angles to the axis of the screw, and it has been found at the Cape Observatory that the periodic errors in this apparatus do vary very sensibly according as the microscope is directed to a point more or less distant from the measuring screw.

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  • It is perhaps the most regularly built town in Germany, consisting of twelve parallel streets intersected at right angles by others, which cut it up into 136 square sections of equal size.

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  • If it blows horizontally over the open end of a vertical tube it causes a decrease of pressure, but this fact is not of any practical use in anemometry, because the magnitude of the decrease depends on the wind striking the tube exactly at right angles to its axis, the most trifling departure from the true direction causing great variations in the magnitude.

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  • The principal feature in the mosque is the niche (mihrab), which is sunk in a wall built at right angles to a line drawn from Mecca, and indicates the direction towards which the Moslem should turn when engaged in prayer.

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  • In the pagan cemeteries, on the other hand, the sepulchral recess as a rule entered the rock like an oven at right angles to the corridor, the body being introduced endways.

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  • The curve showing the circumferential (or longitudinal) changes was also plotted, and from the two curves thus obtained it was easy, on the assumption that the metal was isotropic in directions at right angles to the magnetization, to calculate changes of volume; for if circumferential elongation be denoted by 1 1, and transverse elongation by 1 2, then the cubical dilatation (40r -) = l l 2/ 2 approximately.

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  • It follows from this that the electric force at the surface of the conductor has no component along the surface, in other words, the electric force at the bounding surface of the conductor and insulator is everywhere at right angles to it.

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  • A trapezette may therefore be defined as a plane figure bounded by two straight lines, a base at right angles to them, and a top which may be of any shape but is such that every ordinate from the base cuts it in one point and one point only; or, alternatively, it may be defined as the figure generated by an ordinate which moves in a plane so that its foot is always on a straight base to which the ordinate is at right angles, the length of the ordinate varying in any manner as it moves.

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  • The axis of an elongated shot would move parallel to itself only if fired in a vacuum; but in air the couple due to a sidelong motion tends to place the axis at right angles to the tangent of the trajectory, and acting on a rotating body causes the axis to precess about the tangent.

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  • The movable coil of the wattmeter is normally suspended so that its axis is at right angles to that of the fixed coil and is constrained by the torsion of a spiral spring.

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  • We have the cloister (H) to the south, with the threeaisled chapter-house (I) and calefactory (L) opening from its eastern walk, and the refectory (S), with the kitchen (Q) and buttery (T) attached, at right angles to its southern walk.

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  • The difference between an acute angle and a right angle is termed the complement of the angle, and between an angle and two right angles the supplement of the angle.

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  • At the same time, on land, the new necessities imposed on field artillery by the growing use of covered positions led to the development of scissors-telescopes (see Rangefinders) and panorama-telescopic sights (see Sights), in which the optical system was arranged with the tube of the telescope vertical and the object-glass and eyepiece systems at right angles to the axis of the tube.

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  • A little below the Boiling Pot, and almost at right angles to the falls, the cañon is spanned by a bridge (completed in April 1905) which forms a link in the Cape to Cairo railway scheme.

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  • Ice has its grain as well as wood, and when a cake begins to rot or "comb," that is, assume the appearance of honeycomb, whatever may be its position, the air cells are at right angles with what was the water surface.

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  • The opposite angles of quadrilaterals in circles are equal to two right angles.

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  • At the east end are further, modern benches set at right-angles to the altar and raised on a wooden plinth.

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  • The passage is at right angles to the shipping lane.

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  • Chenille fabric gets it softness and characteristic look from the edges of these piles, which stand at right angles from the yarn's core.

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  • D. toumaton, from New Zealand, bears thorns almost at right angles with the stems, and the tiny leaves are more numerous.

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  • Bend your hips and knees so that they both form right angles and put your hands behind your head with your elbows out to the sides.

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  • If your biceps have not been perfected, you can hold your forearms at almost right angles with your elbows and fully twist your wrists.

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