Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 160
XBY being the definingquadrangle. Corollary 1. For any point Px(=£Pm) on I we have the relationsPi-Pm = Pm-Px = Pm; P0PX = PX-P0=P0; PaPx = Px-P„=P„. (A,E)This follows at once from the definition. Corollary 2. The operation of multiplication is one-valued forevery pair of points Px, Py of I, except… … * The origin of this construction may also be seen in a simple construction ofmetric Euclidean geometry, which results from the construction of the definitionby letting the line l„ be the line at infinity (cf. p. 8). In the attached figurewhich gives this metric construction we have readily, from…
Geometry, Projective
Internet Archive · Wellesley College Library · Public Domain Mark 1.0. Free to use for anything.
