A treatise on special or elementary geometry (1877)
Olney, Edward, 1827-1887, Olney, Edward, 1827-1887. Elements of trigonometry, plane and spherical · New York : Sheldon · leaf 256
angles are Ai B, and C- YOLUME OF SPHERE. 235 be I of the trirectangular triangle. Now, the trirectangular triangle being i ofthe surface of the sphere {577) is i of 47rR-, or ^nlC. This multiplied by |gives ^7tW, the same as above.The proportion, ABC : surf, of Tiemisph. :: A + B + C — 180 :… … PROPOSITION XXXI. 6IS, TJieorem.—The volume of a spliere is equal to the areaof its surface multijflied hy \ of the raditis, that is, JttR, E deingthe radius. Dem.—Let OLrrR be the radius of a sphere.Conceive a circumscribed cube, that is, a cube whosefaces are tangent planes to the sphere. Draw…
Geometry · Trigonometry
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