Projective geometry for use in colleges and schools (1911)
Milne, William P. (William Proctor), 1881- · London : Macmillan · leaf 76
os ^ = BiC = BlC.But by the properties of an ellipse, a^n~a^~a7c^ Also pn = pn AiC •(1) •(2) b;c=BiC AiC = A^C COS 0AiN = AiNcos0A^N^AgNcosO (3) THE CONIC 55 Hence, by (1), (2) and (3), ^ 3 .-. pn- = a;n.a^n.Hence the locus of P is a circle. Corollary. Conjugate diameters of the Ellipseproject into… … Fig. 32. Let, as in last article, the angle 0 between ir and tt B C be so chosen that cosO = —^. A,C Then it can be proved exactly, as in last article,that the given hyperbola projects into a hyperbola,in which the major axis is equal to the minor axis.The hyperbola in tt will therefore be…
Geometry, Projective
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