Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 360
, it is only toassist the student. 398. Theorem. If tve have two lines intersecting m apoint p, and if we have on the one line any three pointsa, h, c, and on the other line three points a, b, c, such thatthe anharmonic ratio (p, a, b, c) is equal to (p, a, b, c),then the three junction-lines aa,… … Then, because M and N are two transversals crossing thepencil q-a,p,h,c, we have [p, a, b, c) = {p, a\ b\ c). By hypothesis, (p, a, b, c) = (p, «, b% c).Hence (p, a, b, c) = {p, a, b, c). The points j9, a and b being given, there is only one fourthpoint which can form with them a given anharmonic…
Geometry, Analytic
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
