Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 158
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, Pz for which the above expressions aredefined. (A, E) Proof… … which is determined by the line XZ, say. If now the point Py +Pzbe constructed by means of the lines lx, 11, l[, and then the pointPx + (Py + Pz) be constructed by means of the lines lx, 11, l0, it will beseen that the latter point is determined by the same line XZ. Corollary 4. The operation of…
Geometry, Projective
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