Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 260
eet y^ _ ^^ _ -1 CI? ¥ Let Pj = (a*!, y^, z^ be any point in space. The equations of theline joining the origin to Pi are x = rx^, y = ry„ z = rz^, ?being a parameter; and the coordinates of the points in which this line meets the hyperboloid are found by substituting these values of x, y, and z in… … the values of r increase inabsolute value, becoming in-finite Avhen Pj lies on thecone. Therefore no gener-ator of the cone (1) evermeets the hyperboloid.Moreover, the sections ofthe cone and the hyper-boloid, parallel to the XT- plane, approach coincidence as the cutting plane recedes from…
Geometry, Analytic
Internet Archive · Boston College Libraries · Public Domain Mark 1.0. Free to use for anything.
