Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 361
uction, aa and bbintersect. Q. E. D. ANHARMONIC PROrEBTIES. 331 Correlative Theorem. If we have two pomfs on a lineQ, and if tlivougli one point pass three lines A, B andC, and through the other point pass three lines A\ B* and C,such that the anharmonic ratio (Q, A, B, C) equals{Q, A, Bf C), then… … Then, because the pencils Q, A*, B\ C and Q, A, B, Cpass through the same four points of the line P, we have {Q,A,B, 0) = (Q,A,B,C). But, by hypothesis, (Q,A,£,C) = (Q,A,B,C).TTen oe (Q,A,B,Cn = {Q,A,B, C) These equal anharmonic ratios having three lines identical,the fourth lines C and (7 are also…
Geometry, Analytic
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
