Higher geometry; an introduction to advanced methods in analytic geometry (1922)
Woods, Frederick S. (Frederick Shenstone), 1864- · Boston, New York, Ginn and Company · leaf 86
ame base envelop a curve of secondclass which is tangent to the bases of the two ranges. This is dualistic to I. We may take the bases of the two rangesas a(0:0:1) and c(l:0:0) (Fig. 22) respectively, and a lineconnecting two pairs of corresponding points as b (0:1: 0). Theline equations of points… … Fig. 22 Conversely, any line satisfying this equation is a line connecting,corresponding points of the two ranges. When a — 0 the equation factors into ux=Q and yu1—^ui=0,and the two ranges are in perspective. ///. Any two points on a curve of second order without singularlines may be used as the…
Geometry, Analytic
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