Diameters sentence example

diameters
  • (1773), p. 190) also gives results of measurements by Gascoigne of the diameters of the moon, Jupiter, Mars and Venus with his micrometer.
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  • When the length of the wire exceeds 400 diameters, or thereabouts, Ho may generally be considered as equivalent to H, 10.
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  • The error thus arising may be compensated by a rotation of the object-glass about one of the diameters y= =x.
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  • long; lower view X3 diameters.
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  • diameters are mostly used, the 4 in.
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  • Archimedes concluded from his measurements that the sun's diameter was greater than 27' and less than 32'; and even Tycho Brahe was so misled by his measures of the apparent diameters of the sun and moon as to conclude that a total eclipse of the sun was impossible.'
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  • In the middle part of a rod which has a length of 400 or 500 diameters the effect of the ends is insensible; but for many experiments the condition of endlessness may be best secured by giving the metal the shape of a ring of uniform section, the magnetic field being produced by an electric current through a coil of wire evenly wound round the ring.
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  • With these arrangements there is no demagnetizing force to be considered, for the ring has not any ends to produce one, and the force due to the ends of a rod 400 or 500 diameters in length is quite insensible at the middle portion; H therefore is equal to Ho.
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  • Small German periscopes were usually 1 metre or 2 a metre in length and had two eyepieces giving magnifications 10 and 15 diameters.
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  • a, The youngest stage, is magnified 22 diameters; b, older, is magnified 8 diameters; c, .the adult medusa, is magnified 6 diameters.
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  • Hence, if p is the maximum value of the mean effective pressure corresponding to about 85% of the boiler pressure,, uW = pd 2 le /D (26) is an expression giving a relation between the total weight on the coupled wheels, their diameters and the size of the cylinder.
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  • Four strings of iron casing are usually employed, having the following diameters: to in., 84 in., 64 in.
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  • In another respect the observations of Fraunhofer appear at first sight to be in disaccord with theory; for his measures of the diameters of the red rings, visible when white light was employed, correspond with the law applicable to dark rings, and not to the different law applicable to the luminous maxima.
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  • The typical Egyptian obelisk is an upright monolith of nearly square section, generally to diameters in height, the sides slightly convex, tapering upwards very gradually and evenly, and terminated by a pyramidion whose faces are inclined at an angle of 60°.
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  • webs serve not only for pointing on stars to determine their coordinates (in manner afterwards described), but also for estimating the diameters of the star-images in terms of these 4" intervals.
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  • hawk (Accipiternisus), palatal view, X 2 diameters.
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  • - Os hyoides of adult Fowl, X II diameters.
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  • - Sternum of a Chick (Gallus domesticus) three days old, lower view, X three diameters.
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  • - Oxygyrus Keraudrenii (magnified 20 diameters).
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  • from the Mediterranean, magnified two diameters.
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  • It is the envelope of circles described on the central radii of an ellipse as diameters.
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  • The spurious bows he showed to consist of a series of dark and bright bands, whose distances from the principal bows vary with the diameters of the raindrops.
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  • Taking advantage of these results, Henri Pitot (1695-1771) afterwards showed that the retardations arising from friction are inversely as the diameters of the pipes in which the fluid moves.
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  • He was the first to describe an instrument fitted with a sight and paper screen for observing the diameters of the sun and moon in a dark room.
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  • Magnified 18 diameters.
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  • Trans.) Leadtin eutectic. Magnified 75 o diameters.
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  • Oil hardened and annealed, magnified 50 diameters.
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  • - (Osmond.) Pearlite, steel (carbon about r%) forged and annealed at 800° C. Magnified 1000 diameters.
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  • Magnified 25 0 diameters.
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  • Magnified 250 diameters.
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  • Top of ingot, forged and annealed, magnified 2 9 diameters.
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  • In Byzantine times five columns, of various diameters, with no two bases of the same size, bearing Corinthian capitals, were set up about 6 ft.
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  • Sca, through,, u rpov, measure), in geometry, a line passing through the centre of a circle or conic section and terminated by the curve; the "principal diameters of the ellipse and hyperbola coincide with the "axes" and are at right angles; " conjugate diameters " are such that each bisects chords parallel to the other.
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  • 2) to determine the height of a column, which should vary from eight to ten diameters according to the intercolumniation: and it is generally the custom to fix the lower diameter of the shaft by the height required and the Order employed.
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  • He, however, successfully employed the instrument in measuring double stars, so close as I" or 2", and using a power of 300 diameters, with results that agreed satisfactorily amongst themselves and with those obtained with the filar micrometer.
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  • Arago made many measures of the diameters of the planets with such a micrometer.
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  • By making very thin sections and employing high magnification (1000-1200 diameters), Renault has been enabled to detect numerous forms of bacilli in the woody parts preserved in coal, one of which, Micrococcus carbo, bears a strong resemblance to the living Cladothrix found in trees buried in peat bogs.
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  • It has therefore been proposed, for greater depths, to put four columns of tubbings of smaller diameters, 82 and 52 ft., in the shaft, and fill up the remainder of the boring with concrete, so that with thinner and lighter castings a greater depth may be reached.
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  • The same thing can be effected in a more perfect manner by the use of spiral or scroll drums, in which the rope is made to coil in a spiral groove upon the surface of the drum, which is formed by the frusta of two obtuse cones placed with their smaller diameters outwards.
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  • In the following table are given the values of the diameters of the molecules of six substances with which it is easy to experiment in the gaseous state, these values being calculated in different ways from formulae supplied by the kinetic theory.
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  • It is an erecting telescope with a field of view of 10° and a magnification of 3 diameters, and admits plenty of light.
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  • - The mensuration of the circle is founded on the property that the areas of different circles are proportional to the squares on their diameters.
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  • In the memoir cited above Regnault gives an account of determinations of the velocity in air in pipes of great length and of diameters ranging from o 108 metres to i i metres.
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  • Let, now, the plate be made in the usual manner to vibrate so as to exhibit two nodal lines coinciding with two rectangular diameters.
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  • But with the sole exception of proving that the volumes of spheres are in the triplicate ratio of their diameters, a theorem probably due to Eudoxus, no mention is made of its mensuration.
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  • On the westward slopes, especially of the Selkirks and Coast Ranges, vegetation is almost tropical in its density and luxuriance, the giant cedar and the Douglas fir sometimes having diameters of 10 ft.
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  • He was also a diligent and skilful observer, and busied himself not only with astronomical subjects, such as the double stars, the satellites of Jupiter and the measurement of the polar and equatorial diameters of the sun, but also with biological studies of the circulation of the sap in plants, the fructification of plants, infusoria, &c.
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  • Bottom of ingot, forged and annealed, magnified 29 diameters.
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  • Magnified boo diameters.
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  • From bottom of ingot as cast, magnified 2g diameters.
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  • Forged and annealed, magnified r000 diameters, showing pearlite.
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  • From top of ingot as cast, magnified 29 diameters.
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  • that " circles are to one another as the squares on their diameters " and that " in the greater of two concentric circles a regular 2n-gon can be inscribed which shall not meet the circumference of the less," however nearly equal the circles may be.
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  • Proposition 14 shows how to draw an ellipse through five given points, and Prop. 15 gives a simple construction for the axes of an ellipse when a pair of conjugate diameters are given.
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  • Moreover, a single pair of rolls suffices for armour plates of any width or thickness, whereas if shafts of different diameters were to be rolled, a special final groove would be needed for each different diameter, and, as there is room for only a few large grooves in a single set of rolls, this would imply not only providing but installing a separate .set of rolls for almost every diameter of shaft.
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  • crossed out, the circle being crossed by diameters to show the degrees; others have found in it a corruption of "the alidade" (q.v.).
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  • The movement of S is obtained by means of a relay engine, in which there are two rams of different diameters; a constant pressure is always acting on the smaller of these when the motor is at work, while the governor (or handpower if desired) admits or exhausts pressurewater from the face of the other, and the movements to and fro thus given to the two rams alter the position of the stud S, and thus change the stroke of the plungers of the main engine.
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  • The external diameters of the amphitheatre are 410 and 348 ft., while the corresponding diameters of the arena are 233 and 167 ft.
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  • His first telescope magnified three diameters; but he soon made instruments which magnified eight diameters, and finally one that magnified thirty-three diameters.'
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  • focal length, with a magnifying power of 38 diameters, which he presented to the Royal Society of London in December 1671.
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  • succeeded in mounting them with all necessary rigidity free from flexure but have given them optically true plane surfaces, notwithH standing their large diameters, viz., II and 15.7 in.
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  • When the eclipse is total, there is a real geometrical shadow - very small compared with the penumbra (for the apparent diameters of the sun and moon are nearly equal, but their distances are as 370: I); when the eclipse is annular, the shadow is all penumbra.
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  • Some arcades of the amphitheatre (the diameters of which are 282 ft.
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  • It may further be shown that if Binets ellipsoid be referred to any system of conjugate diameters as co-ordinate axes, its equation will be ~2+~2+~-2I, (27)
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  • The problem is identical with that of finding the common conjugate diameters of the ellipsoids T(x, y, I) =const., V(x, y, 1) =const.
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  • If in (21) we imagine that x, y, I denote infinitesimal rotations of a solid free to turn about a fixed point in a given field of force, it appears that the three normal modes consist each of a rotation about one of the three diameters aforesaid, and that the values of in are proportional to the ratios of the lengths of corresponding diameters of the two quadrics.
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  • For example, all ellipsoids referred to co-ordinates parallel to any three conjugate diameters are parallel projections of each other and of a sphere referred to rectangular co-ordinates.
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  • Hookes wheels with oblique or helical teeth are in fact screws of many threads, and of large diameters as compared with their lengths.
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  • The letters A B show a vertical section through a fragment of a potato leaf, enlarged 1_00 diameters; A is the upper surface line, and B the lower; the lower surface of the leaf is shown at the top, A Fin.
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  • One is shown more highly magnified (400 diameters) at F; the contained protoplasm breaks up into a definite number of parts as at G, forming eight minute mobile bodies called "zoospores," each zoospore being furnished with two extremely attentuated vibrating hairs termed "cilia," as shown at H.
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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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  • Similarly, the diameters of flat or spheroidal colonies may vary from a few times to many hundred times that of the individual cells, the divisions of which have produced the colony.
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  • In the left-hand figure In the right-hand figure about 50 diameters.
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  • The diameters range from 400 m.
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  • The largest spots are easily seen by the naked eye, if the brilliancy of the disk is veiled; the umbra may be many - ten or more - diameters of the earth in breadth.
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  • 6), secured together and of slightly different effective diameters D and d.
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  • It would add to my satisfaction if you would be pleased to let me know the long diameters of the orbits of Jupiter and Saturn, assigned by yourself and Mr Halley in your new tables, that I may see how the sesquialteral proportion fills the heavens, together with another small proportion which must be allowed for."
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  • (After Seeliger.) X33 diameters.
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  • (After Semon.) X 24 diameters.
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  • The straight line and the line through the centre parallel to the chords are named conjugate diameters; each bisects the chords parallel to the other.
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  • An important metrical property of conjugate diameters is the sum of their squares equals the sum of the squares of the major and minor axis.
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  • In analytical geometry, r the equation axe+2hxy+bye+2gx+2fy+ c = o represents an ellipse when ab > h 2; if the centre of the curve be the origin, the equation is a 1 x 2 +2h 1 xy+b i y 2 =C 1, and if in addition a pair of conjugate diameters are the axes, the equation is further simplified to Ax e +By 2 = C. The simplest form is x 2 /a 2 +y 2 /b 2 = 1, in which the centre is the origin and the major and minor axes the axes of co-ordinates.
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  • Barnard, the most successful observer, assigns diameters of 5° or even 10° or more.
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  • The first book deals with the generation of the three conics; the second with the asymptotes, axes and diameters; the third with various metrical relations between transversals, chords, tangents, asymptotes, &c.; the fourth with the theory of the pole and polar, including the harmonic division of a straight line, and with systems of two conics, which he shows to intersect in not more than four points; he also investigates conics having single and double contact.
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  • The fifth book contains properties of normals and their envelopes, thus embracing the germs of the theory of evolutes, and also maxima and minima problems, such as to draw the longest and shortest lines from a given point to a conic; the sixth book is concerned with the similarity of conics; the seventh with complementary chords and conjugate diameters; the eighth book, according to the restoration of Edmund Halley, continues the subject of the preceding book.
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  • In most cases the number of " diameters " of the simple microscope is required; i.e.
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  • Consequently the number of diameters will be N = tan w'/tan w = y/f.
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  • In tendons, fibril diameters in the fetus are unimodal but become bimodal in the adult.
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  • fibril diameters remained constant across all corneas up to the limbus, whereupon a sharp increase was observed.
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  • mandrel diameters are specified ranging from 2 to 32 mm.
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  • OsmaDrain Manufactured from unplasticised polyvinyl chloride (PVC-U ), the OsmaDrain underground drainage system is available in 82mm, 110mm and 160mm diameters.
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  • pore diameters from the point of view of structure damage is believed to be between 300 - 3000 mm.
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  • Normally made from compressed sawdust, they can have diameters of 6, 8 or 10mm.
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  • The diameters of the resected specimens ranged from approximately 1.0 cm to 2.3 cm.
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  • " The first thing Mr Gascoigne showed me was a large telescope amplified and adorned with inventions of his own, whereby he can take the diameters of the sun and moon, or any small angle in the heavens or upon the earth, most exactly through the glass, to a second."
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  • A spiral spring, coiled round the cylinder y, resting one end on the shoulder formed by the difference of the diameters of the cylinders (3 and -y and the other on the inside of the web-frame, presses the latter continuously towards y.
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  • This corresponds, in the Cape instrument, with an excess of the diameters of the holes over those of the cylinders of about i,*mth of an inch - a quantity so small as to imply good workmanship, though it involves a systematic error which is very much larger than the probable error of a single determination of the coincidence point.
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  • A depression when of great extent is termed a " basin," when it is of a more or less round form with approximatelyequal diameters, a " trough " when it is wide and elongated with gently sloping borders, and a " trench " when narrow and elongated with steeply sloping borders, one of which rises higher than the other.
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  • Young employed this method not only to determine the diameters of cloud particles (e.g.
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  • The typical Egyptian obelisk is an upright monolith of nearly square section, generally to diameters in height, the sides slightly convex, tapering upwards very gradually and evenly, and terminated by a pyramidion whose faces are inclined at an angle of 60°.
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  • According to the theory above the stability is regained when the length is more than three diameters, so that a modern projectile with a cavity more than three diameters long should fly steadily when filled with water; while the old-fashioned type, not so elongated, would be highly unsteady; and for the same reason the gas bags of a dirigible balloon should be over rather than under three diameters long.
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  • - (Osmond.) Pearlite, steel (carbon about r%) forged and annealed at 800° C. Magnified 1000 diameters.
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  • It is an erecting telescope with a field of view of 10° and a magnification of 3 diameters, and admits plenty of light.
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  • For a projectile in which the ogival head is struck with a radius of 2 diameters, Bashforth puts K= o 975; on the other hand, for a flat-headed projectile, as required at proof-butts, = 1 .
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  • Rectification and quadrature of the circle have thus been, since the time of Archimedes at least, practically identical problems. Again, since the circumferences of circles are proportional to their diameters - a proposition assumed to be true from the dawn almost of practical geometry - the rectification of the circle is seen to be transformable into finding the ratio of the circumference to the diameter.
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  • It is usual to limit the height of sections of columns without lateral support to 30 diameters, and to limit the maximum fibre stress to 12,000 lb per sq.
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  • Barnard, the most successful observer, assigns diameters of 5° or even 10° or more.
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  • Wheels also have different diameters; between 70 and 78 millimeters are the most common measurements.
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  • Available rod diameters are 3/4 inch, 1 inch and 1 1/8 inch.
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  • These wood rods are available in 4 ft, 6 ft and 8 ft lengths and 1 ½ to 2 inch diameters.
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  • If you are not certain of the dimensions given, Maryland Metrics has an excellent conversion table that is easy to understand.These elegant gold style earrings are available in many different diameters and thicknesses.
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  • Gold endless hoop earrings range in size from delicate and tiny, with diameters measuring only 5/16 inch (8 mm) to large striking earrings measuring 3 inches (76.2mm) or more.
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  • A cell can contain several hundred peroxisomes, round or oval bodies with diameters of about 0.5 micron that contain proteins that function as enzymes in metabolic processes.
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  • While diameters and heights can vary for decorative rings, most are designed to fit pillar candles, though rings for tapers, jars, and votive candles are also available.
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  • Also available from very small gauges to large sizes (used for earlobe stretching), CBRs are also found in many different diameters.
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  • Each Pasha offers elegant details with slender straps and round crowns in an array of diameters to fit every wrist.
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  • Huygens, in his Systema saturnium (1659), describes a micrometer with which he determined the apparent diameters of the principal planets.
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  • B, Digestive gland from interior A, B, and C magnified about of pitcher, in pocket-like deI oo diameters.
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  • Magnified 10 diameters.
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  • - Octorchandra canariensis, from life, magnified 4 diameters.
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  • - End view of skull of a Chicken fo three weeks old, X 8 diameters.
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  • Auditory ment in the crocodile, and with the ", chain " of Chicken, X 6 processus folii of the mammalian diameters; lateral and basal malleus, it follows that the whole views.
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  • In order to meet the objection that the phenomenon might be due to electromagnetic action between the coil and the rod, Bidwell made some experiments with iron rings, and found that the length of their diameters varied under magnetization in precisely the same manner as the length of a straight rod.
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  • In his experiments upon this subject Fraunhofer employed plates of glass dusted over with lycopodium, or studded with small metallic disks of uniform size; and he found that the diameters of the rings were proportional to the length of the waves and inversely as the diameter of the disks.
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  • to loo diameters).
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  • Such a rule of the two diameters not only guides us toward the sun in the system and the heart in man, but draws lines through the length and breadth of the aggregate of a man's particular daily behaviors and waves of life into his coves and inlets, and where they intersect will be the height or depth of his character.
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  • focal length, having eye-pieces magnifying up to 230 diameters.
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  • BUMAX 88 to ISO 4762 hexagon socket cap screws M6 to M24 with lengths greater than 3 diameters.
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  • Many small, identical components can be assembled to make different rotor diameters.
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