Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 38
int of S3 (Theorem 8). Hence every point of S3 is a point of S3.Conversely, if A is any point of S3, the line AP meets it in a point(Theorem 9). Hence every point of S3 is also a point of Sz. Corollary. There is one and only one three-space on four givenpoints not on the same plane, or a plane and… … Fig. 13 24 THEOBEMS OF ALIGNMENT AND DUALITY [Chap.i It is convenient to use the term coplanar to describe points in thesame plane. And we shall use the term skew lines for lines that haveno point in common. Four noncoplanar points or two skew linesare said to determine the three-space in which…
Geometry, Projective
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