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SPHEROMETER (Gr. ocPaipa , a sphere, ...

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Originally appearing in Volume V25, Page 661 of the 1911 Encyclopedia Britannica.
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See also:

SPHEROMETER (Gr. ocPaipa , a See also:sphere, p rpov, a measure)  , an See also:instrument for the precise measurement of the See also:radius of a See also:sphere or the thickness of a thin See also:plate . The usual See also:form consists of a See also:fine See also:screw moving in a See also:nut carried on the centre of a small three-legged table; the feet forming the vertices of an equilateral triangle (see figure) . The See also:lower end of the screw and those of the table legs are finely tapered and terminate in hemispheres, so that each rests on a point . If the screw has two turns of the See also:thread to the millimetre the See also:head is usually divided into 50o equal parts, so that See also:differences of o•oot millimetre may be measured without using a See also:vernier . A See also:lens, however, may be fitted, in See also:order to magnify the. See also:scale divisions . A See also:vertical scale fastened to the table indicates the number of whole turns of the screw and serves as an See also:index for See also:reading the divisions on the head . In order to measure the thickness of a plate the instrument is placed on a perfectly level See also:plane See also:surface and the screw turned until the point just touches; the' exact instant when it does so is defined by a sudden diminution of resistance succeeded by a considerable in-crease . The divided head and scale are read ; the screw is raised ; the thin plate slipped under it; and the See also:process is repeated . The difference between the two readings gives the required thickness . A contact- See also:lever, delicate level or electric contact arrangement may be attached to the See also:spherometer in order to indicate the moment of touching more precisely than is possible by the sense of See also:touch . To measure the radius of a sphere—e.g. the curvature of a lens-the spherometer is levelled and read, then placed on the sphere, adjusted until the four points exert equal pressure, and read again . The difference gives the thickness of that portion of the sphere cut off by a plane passing through the three feet .

Calling this distance h, and the distance between the feet a, the radius R is given by the See also:

formula R = (See also:a2+3h2)/6h .

End of Article: SPHEROMETER (Gr. ocPaipa , a sphere, p rpov, a measure)
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SPHEROID (Gr. c4aipa-etbis, like a sphere)
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SPHERULITES (Gr. cchaipa, sphere, Mhos, stone)

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