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Projective geometry (1910)

Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 55

An illustration from Projective geometry, 1910, leaf 55
We proceed to study in detail the properties of the configuration justobtained. It is known as the configuration of Desargues. We may consider the vertices of the complete space five-point as con-sisting of the vertices of a triangle A, B, C and of two points Ox, 02 0, … Fig. 14 not coplanar with any two vertices of the triangle (fig. 14). The sec-tion by a plane a not passing through any of the vertices will thenconsist of the following : A triangle AXBXCX, the projection of the triangle ABC from Ox on a. A triangle A2B2C2, the projection of the triangle ABC from…

Geometry, Projective

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