Higher geometry; an introduction to advanced methods in analytic geometry (1922)
Woods, Frederick S. (Frederick Shenstone), 1864- · Boston, New York, Ginn and Company · leaf 326
ssesthrough the axis of the complex. Let all lines of a plane m(Fig. 57) belong to the com-plex. Take h, any line not ofthe complex, and let q and r betwo planes through h, intersect-ing m in the lines mq and mr. In the plane q lies, by theorem IV,a pencil of lines of the complex of which mq is one… … Fig. 57 314 FOUR-DIMENSIONAL GEOMETRY connecting the vertices (c, of course, lies in m). Take s, any planethrough c intersecting q in the line qs and r in the line rs. Then c is a line of the complex, since by hypothesis any line inm belongs to the complex. Also qs and rs belong to the…
Geometry, Analytic
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