Diameters Sentence Examples
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.'
It is the envelope of circles described on the central radii of an ellipse as diameters.
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.
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.
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.Advertisement
Oil hardened and annealed, magnified 50 diameters.
Magnified 25 0 diameters.
Top of ingot, forged and annealed, magnified 2 9 diameters.
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.
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.Advertisement
Arago made many measures of the diameters of the planets with such a micrometer.
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.
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.
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.
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.Advertisement
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.
Let, now, the plate be made in the usual manner to vibrate so as to exhibit two nodal lines coinciding with two rectangular diameters.
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.
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.
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.Advertisement
Many small, identical components can be assembled to make different rotor diameters.
Huygens, in his Systema saturnium (1659), describes a micrometer with which he determined the apparent diameters of the principal planets.
B, Digestive gland from interior A, B, and C magnified about of pitcher, in pocket-like deI oo diameters.
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.
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.Advertisement
When the length of the wire exceeds 400 diameters, or thereabouts, Ho may generally be considered as equivalent to H, 10.
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.
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.
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.
Bottom of ingot, forged and annealed, magnified 29 diameters.
From bottom of ingot as cast, magnified 2g diameters.
Forged and annealed, magnified r000 diameters, showing pearlite.
From top of ingot as cast, magnified 29 diameters.
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.
Small German periscopes were usually 1 metre or 2 a metre in length and had two eyepieces giving magnifications 10 and 15 diameters.
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.
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.
The external diameters of the amphitheatre are 410 and 348 ft., while the corresponding diameters of the arena are 233 and 167 ft.
His first telescope magnified three diameters; but he soon made instruments which magnified eight diameters, and finally one that magnified thirty-three diameters.'
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.
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.
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.
Hookes wheels with oblique or helical teeth are in fact screws of many threads, and of large diameters as compared with their lengths.
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.
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.
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.
The diameters range from 400 m.
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.
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."
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.
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.
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.
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.
In most cases the number of " diameters " of the simple microscope is required; i.e.
Consequently the number of diameters will be N = tan w'/tan w = y/f.
In tendons, fibril diameters in the fetus are unimodal but become bimodal in the adult.
OsmaDrain Manufactured from unplasticised polyvinyl chloride (PVC-U ), the OsmaDrain underground drainage system is available in 82mm, 110mm and 160mm diameters.
Normally made from compressed sawdust, they can have diameters of 6, 8 or 10mm.
The diameters of the resected specimens ranged from approximately 1.0 cm to 2.3 cm.
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.
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.
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.
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 .
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.
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.
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.
Wheels also have different diameters; between 70 and 78 millimeters are the most common measurements.
Available rod diameters are 3/4 inch, 1 inch and 1 1/8 inch.
These wood rods are available in 4 ft, 6 ft and 8 ft lengths and 1 ½ to 2 inch diameters.
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.
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.
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.
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.
Also available from very small gauges to large sizes (used for earlobe stretching), CBRs are also found in many different diameters.
Each Pasha offers elegant details with slender straps and round crowns in an array of diameters to fit every wrist.
The error thus arising may be compensated by a rotation of the object-glass about one of the diameters y= =x.
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.
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.