noun

definition

Any straight line between two points on the circumference of a circle that passes through the centre/center of the circle.

definition

The length of such a line.

definition

The maximum distance between any two points in a metric space

definition

The maximum eccentricity over all vertices in a graph.

Examples of diameter in a Sentence

He gives no diameter or wind-pressure.

The diameter of the orchestra is 762 ft.

In the rubber ring joint an india-rubber ring is used; slightly less in diameter than the pipe.

The diameter ox the outer crater, within which rises the modern cone to a height of 500 ft.

In the hydropolyp the body is typically elongated, the height of the column being far greater than the diameter.

The trunk attains a height of from 80 to 140 ft., with a diameter of from 3 to 5 ft.

The front or cover of the case is a similar button of hard polished carbon D, also slightly smaller in diameter than the cylindrical wall of the box.

The eighth storey, which contains the bells, is of much smaller diameter than the rest of the tower, and has only twelve columns.

In 1920 he was able to demonstrate by means of light-interference that the diameter of Alpha Orionis was 260,000,000 miles.

The differences of the readings of the screw, when converted into arc, afford the means of measuring the variations of the sun's apparent diameter.

They are divided into breaking-down and finishing rolls, the latter being of smaller diameter than the former.

Estimate the diameter of the star's image in terms of the 4" intervals of the movable webs.

The old town, containing many narrow and irregular streets, forms a semicircle with its diameter towards the river, while round its periphery has sprung up the greater part of modern Munich, including the handsome Maximilian and Ludwig districts.

The body-wall is extensively calcified in the Cyclostomata and in most Cheilostomata, which may form elegant network-like colonies, as in the unilaminar genus Retepora, or may consist of wavy anastomosing plates, as in the bilaminar Lepralia foliacea of the British coasts, specimens of which may have a diameter of many inches.

The fruit-stalk is very short, bearing a subglobose fruit an inch or rather more in diameter, of an orange-yellow colour, and with a sweetish astringent pulp. It is surrounded at the base by the persistent calyxlobes, which increase in size as the fruit ripens.

The diameter is generally 26 ft., but may be greater; the best depth is considered to be a quarter of the diameter.

The largest is an ellipse of about 60 by 66 ft., but most of the sesi have a diameter of 20-25 ft.

Newton defined the diameter of a curve of any order as the locus of the centres of the mean distances of the points of intersection of a system of parallel chords with the curve; this locus may be shown to be a straight line.

Modern surveying ships no longer make use of hempen lines with enormously heavy sinkers, such as were employed on the " Challenger," but they sound instead with steel piano wire not more than 310 to 215 of an inch in diameter and a detachable lead seldom weighing more than 70 lb.

The tubbing, which is considerably less in diameter than the borehole, is suspended by rods from the surface until a bed suitable for a foundation is reached, upon which a sliding length of tube, known as the moss box, bearing a shoulder, which is filled with dried moss, is placed.

In this system the soft ground or fissured water-bearing rock is rendered temporarily solid by freezing the contained water within a surface a few feet larger in diameter than the size of the finished shaft, so that the ground may be broken either by hand tools or blasting in the same manner as hard rock.

The chilled brine enters through a central tube of small diameter, passes to the bottom of the outer one and rises through the latter to the surface, each system of tubes being connected above by a ring main with the circulating pumps.

The power is applied by steam acting directly on a crank at one end of the axle, and the diameter of the fan may be 40 ft.

The extreme diameter is 25 ft.

It may be regarded as an epicycloid in which the rolling and fixed circles are equal in diameter, as the inverse of a parabola for its focus, or as the caustic produced by the reflection at a spherical surface of rays emanating from a point on the circumference.

The lake, which is roughly circular with a diameter of some 13 m., lies at an altitude of 6135 ft.

It combines the planisphere and armillae of Hipparchus and others, and the theodolite of Theon, and was usually of brass, varying in diameter from a couple of inches to a foot or more.

Suppose, for instance, that we require the area of a circular grass-plot of measured diameter.

Thus the inaccuracy in taking the measured diameter as the datum is practically of the same order as the inaccuracy in taking the grass-plot to be circular.

Suppose, for instance, that in the example given in § 20 the diameter as measured is is ft.

The distance between the block and the plate is adjusted so as to be slightly less than the diameter of the blank, and the result is that the edge of the blank is thickened and its diameter reduced before it escapes from the machine.

He found that in all cases the velocity decreased with a diameter.

Regnault also set up a shorter length of pipes of diameter o 108 m.

This investigation is subject to the limitation that the diameter of the cross-section must be small compared with the wave-length.

A " sounding tube," say an inch in diameter, and somewhat more than twice the length of the jet tube, is then lowered over the flame, as in the figure.

The cylindrical form of jet is unstable if its length is more than 7 times its diameter, and usually the irregular disturbances it receives at the orifice go on growing, and ultimately break it up irregularly into drops which go out at different rates.

But, if quite regular disturbances are impressed on the jet at intervals of time which depend on the diameter and speed of outflow (they must be somewhat more than ?r times its diameter apart), these disturbances go on growing and break the stream up into equal drops, which all move with the same velocity one after the other.

Every point is equidistant from a fixed point within the surface; this point is the "centre," the constant distance the "radius," and any line through the centre and intersecting the sphere is a "diameter."

The extremities of the diameter perpendicular to a small circle are called the "poles" of that circle, and the distance from the pole to the circle, measured by the arc of the great circle through the pole, is the "polar distance" of the small circle.

Calling the radius r, and denoting by the ratio of the circumference to the diameter of a circle, the volume is 31rr 3, and the surface 41rr2.

At their end is fixed a blade of cast iron from two to eight times the diameter of the shaft of the pile; the pitch of the screw varies from one-half to one-fourth of the external diameter of the blade.

It was a cylinder of parchment of about the diameter of a coachwheel, and was literally rolled up on the floor of the house.

In diameter the pillars vary from 15 to 20 in., and in height some are as much as 20 ft.

The morainic belts and other obstructions in the drift plains hem in the waters in the intervening basins and create what are called " glacial lakes," var y ing in diameter from a few yards to several miles.

We can obtain a pertinent illustration from the motion of a vortex ring in a fluid; if the circular core of the ring is thin compared with its diameter, and the vorticity is not very great, it is the vortical state of motion that travels across the fluid without transporting the latter bodily with it except to a slight extent very close to the core.

The ectoderm loses entirely the ciliation which it had in the planula and actinula stages and commonly secretes on its external surface a protective or supporting investment, the perisarc. Contrasting with this, the anthopolyp is generally of s q uat form, the diameter often exceeding the height; the peristome is wide, a hypostome is lacking, and the ectoderm, or so much of it as is exposed, i.e.

As a first result of experiment it was found that the resistance of similar shot was proportional, at the same velocity, to the surface or cross section, or square of the diameter.

The resistance R can thus be divided into two factors, one of which is d 2, where d denotes the diameter of the shot in inches, and the other factor is denoted by p, where p is the resistance in pounds at the same velocity to a similar I-in.

We first determine the time t in seconds required for the velocity of a shot, d inches in diameter and weighing w lb, to fall from any initial velocity V(f/s) to any final velocity v(f/s).

After a certain discount for friction and the recoil of the gun, the net work realized by the powder-gas as the shot advances AM is represented by the area Acpm, and this is equated to the kinetic energy e of the shot, in foot-tons, (I) e d2 I + p, a in which the factor 4(k 2 /d 2)tan 2 S represents the fraction due to the rotation of the shot, of diameter d and axial radius of gyration k, and S represents the angle of the rifling; this factor may be ignored in the subsequent calculations as small, less than I %.

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