Tanner, J. H. (John Henry), b. 1861, Allen, Joseph · New York, American Book Co · leaf 257
by equation (1), 2 so that the equation of the path of P is ■3z) ^^f = ^ (2) But P is any point of line(1); hence equation (2) is sat-isfied by every point of theline during its motion, i.e., ofthe surface generated by theline; which is the requiredconical surface. (6) Tlie sphere formed… … Fio. 99. 14u] THE LOCUS OF AN KQUATIOX. SURFACES 2-41 lUit ill the ass-plane, by equation (3), NP=x = ^25-z^.Hence, substituting above, a,-^-|-.V-+2==25; (4) which is the equation of the required spherical surface. Of the various surfaces of revolution those of particularinterest are generated by…
Geometry, Analytic
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