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 262
ide with O, and Q with Q, Fig. 105, thenO^Q = 0Q J and by division OP a^-b^OP ~ a,- 6,2- Hence, when P describes a figure, P^ will describe a similarfigure. Choosing O as the origin of Cartesian coordinates and designating the constant ratio —5—7-3 by k, then when O is fixed, the linkage of Fig.… … Now IQAP=IAAB, ZQA0= ZAOA+ ZAAO; henceIQAP+ ZQA0= Z.AAB+ IBAP+ ZAAO, or ZOAP =Z.OAP. But there is also OA AP AP OA AB AP ^ Nature, 1875, p. i( 250 PROJECTIVE GEOMETRY. OA OP , ,^„hence aO^P^aO^P. From this Qj, = Qp} and IA0P = ZAOP, hence also ZPOP= lAOA and aPOPw a^O^. Consequently when P…
Geometry, Projective · Geometry, Analytic
Internet Archive · Boston College Libraries · Public Domain Mark 1.0. Free to use for anything.
