Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 157
and the corollary of * The historical origin of this con-struction will be evident on inspectionof the attached figure. This is thefigure which results, if we choose forlx the line at infinity in the planein the sense of ordinary Euclideangeometry (cf. p. 8). The constructionis clearly equivalent… … vectora line. § 48] ADDITION 143 Theorem 3, Chap. II, in case Px and Py are distinct from P0 and PumIf one of the points Px, Py coincides with P0 or Px, it follows fromCorollary 1. Corollary 3. The operation of addition is associative; i.e. . px + {i;J+p^ = (Px+py) + p for any three points Px, Py,…
Geometry, Projective
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