Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 191
have 176 COORDINATE SYSTEMS [Chap. VII where C is the point in which VA meets OU. This projectivity between the lines UV and OU transforms 02 into ccy, ccz into 0y, and lz into ly. It follows that C has the coordinate 1/z in the scale on 0 ?7. We have also U V i ^Oxlxx = zOxAP = ccyOy-y, which… … idno) Fig. 82 Theoeem 2. Definition, i/ P is any point not on a side of thetriangle of reference OUV, there exist three numbers xv x2, x3 (all dif-ferent from 0) such that the projections of P from the vertices 0, TJ,V on the opposite sides have coordinates (xv x2, 0), (xv 0, x3), (0, x2,…
Geometry, Projective
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