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
with O, and Q with Q, Fig. 105, then0& = OQ\ and by division OP a2-b2 OP V Hence, when P describes a figure, Px will describe a similar figure. Choosing O as the origin of Cartesian coordinates and a2-b2designating the constant ratio —2—j-a by /c, then when O is fixed, the linkage of Fig. 105… … Now Z(L4P=Z4.45, zei,0=Zi,04+ZiiO; hence/.QAP+ £QA0= £AAB+ ABAP+ /.AAO, or ZOzlP^Z0^4P. But there is also OA AP APOA~AB~AfPn 1 Nature, 1875, p. 168. 250 PROJECTIVE GEOMETRY. OA OP hence AOiP^AOi?. From this Qj, = Qp, and ZAOP = LAOP, hence also £POP= IAOA and &POPco aAOA. Consequently when P…
Geometry, Projective · Geometry, Analytic
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