Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 280
intowhich P is transformed by the given correlation V does not, then, passthrough a vertex of the triangle ABC. The correlation T is deter-mined by the equation F (ABCP) = abcp, and, by hypothesis, is such : 93] CORRELATIONS 265 that T(abc) = ABC. The points [Q] of c are transformed into thelines… … C=[q] Fig. 99 CP meets c is transformed by V into a line on the point cp; andsince Q0 and c^> are paired in I, it follows thatcp is transformedinto the line CQ0 = CP. In like manner, bp is transformed into BP.Hence p = (cp, bp) is transformed into P = (CP, BP). Theorem 4. Any projective…
Geometry, Projective
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