Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 36
four pointsnot in the same plane, and if ir is a plane containing Q, B, and T,the class S3 of all points such that every point of S3 is collinear with Pand some point of it is called the space of three dimensions, or thethree-space determined by P and ir. If a point belongs to a three-space or is a… … to lie in or to be in or to he on the S3. Also the three-space is said tobe on the point, line, or plane. It is clear from the definition that P andevery point of ir are points of the three-space determined by P and it. Theokem 8. If A and B are distinct points on a three-space S ,every point on…
Geometry, Projective
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