Davies, Charles, 1798-1876 · New York and Chicago, A. S. Barnes and company · leaf 161
mes thesurface of the zone described by thearc BCD: hence, the surface of thezone is equal to EHx circumferenceOA. Sch. 1. When the zone has but one base, as the zone dcscribed by the arc ABCD, its surface will still be equal tothe altitude AE multiplied by the circumference of a grealcircle. Sch.… … THEOREM XXV. The solidity of a sphere is equal to one third of the product ifthe surface multiplied by the radius.For, conceive a polyedron to be inscribed in the sphere. BOOK VI. L6J Of the Sphere This polyedron may be considered as formed of pyramids, eachhaving for its vertex the centre of the…
Geometry · Plane trigonometry
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