An introduction to projective geometry and its applications; an analytic and synthetic treatment (1905)
Emch, Arnold, b. 1871 · New York, J. Wiley & sons; London, Chapman & Hall, limited · leaf 221
p. 118. Hence the theorem: 1 Die Kurven dritter und vierter Ordnung, welche durch die unendlich fernenKreispunkte gehen. (Zeitschr. f. Math., XXXII, 1887.) 208 PROJECTIVE GEOMETRY. The locus of the Joci o] all conies inscribed to a quadrilateralis a circular cubic having the circular points as a… … Fig. 86. But if two projective pencils of circles G+ XGt = o and G + XGxf= o produce a cubic, say GG1f—G1Gf=o, so that this equationreduces to Gg/—Gxg, = o) where g/ and g are linear factors,then the cubic may also be produced by two projective pencilsof circles and rays. 4- In the same circular…
Geometry, Projective · Geometry, Analytic
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.