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 29
at sm (be)/ sin (bd)~ CP / DO sin (ac) /sin (ad) CN /DM /sm (ad) Cl\ //sin (bd)~~Cp/ 1 K-,,, DM and CN being ± a and DO and CP ± to b. But CN AC , CP BC , 7777= ~7^ and iR7^ = ^rF:; hence^ -11 A DM AD DO BD CN /DM AC /ADCPI DO~Bcl BD (2) (abcd) = (ABCD). i6 PROJECTIVE GEOMETRY. This important… … Fig. In other words, if the rays a, b, c, d are considered as project-. ing rays in a central projection, such a projection does not changethe anharmonic ratio of four points. A system of rays in a plane and passing through the samepoint is called a pencil of rays. ^ By the above theorem all…
Geometry, Projective · Geometry, Analytic
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