Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 193
1, 1, 1]is the line [1,1]. If, now, we superpose these two systems of nonhom-ogeneous coordinates in the way described in the preceding section,the condition that the point (x, y) be on the line [u, v] is that therelation ux + vy + 1 = 0 be satisfied (Theorem 1). It is now easy torecognize the… … tHoio) v=(ioo) Fig. 83 vertex of the triangle of reference in the homogeneous system of linecoordinates. Also the line whose points satisfy the relation x1 = 0 isthe line [1, 0, 0], the line for which x2 = 0 is the line [0, 1, 0], andthe line for which x3 = 0 is the line [0, 0, 1]. Finally, the…
Geometry, Projective
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