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Analytic geometry, for technical schools and colleges (1897)

Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 208

An illustration from Analytic geometry, for technical schools and colleges, 1897, leaf 208
)lane. The radius r is afunction of z whicli is given by the equation of the generatrix r = F(z). Hence the equationof the surface of revolution is obtained by eliminating /• fromthe equations af + y- — r and r = F(z). … Problems. — 1. Find equation of surface of sphere, center at origin,radius li. This sphere is generated by the revolution about the Z-axis ofa circle whoso e(iualion is r~ + z- = R-. Eliminate r from this equationand x- -|- y- — ?•-, and the ecpiation of the sphere is found to be X- -f if -V Z^:=…

Geometry, Analytic

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