Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 101
R (BAXBX) = R. Definition. A point P of a line is said to be quadrangularlyrelated to three given distinct points A, B, C of the line, provided 86 THE FUNDAMENTAL THEOREM [Chap, iv P is one of a sequence of points A, B, C, Hv H%, H3, ■ ■ ■ of the line,finite in number, such that Hx is the harmonic… … Fig. 37 Corollary. The class of all points quadrangidarly related to threedistinct collinear points A, B, C is R(ABC). (A, E) From the last corollary it is plain that R (ABC) consists of all points thatcan be constructed from A, B, C by means of points and lines alone; that isto say, all points…
Geometry, Projective
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