Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 145
eorem 21 now gives at once: Theorem 24. Any line in the planeof a pencil of conies of Type IV{xohichdoes not pass through either of thepoints common to all the conies ofthe pencil) is met by the conies of thepencil in the pairs of an involution.Through any point in the plane (noton either of the… … Fig. 65 * The classification of pencils and ranges of conies into types corresponds to theclassification of the corresponding plane collineations (cf. Exs. 2, 4, 7, below). §47] PENCILS AND KANGES 131 any line in a double point of the involution determined on that line.And the point of intersection…
Geometry, Projective
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