Projective geometry for use in colleges and schools (1911)
Milne, William P. (William Proctor), 1881- · London : Macmillan · leaf 132
tc.) 60. A series of ellipses have the same focus, pass througha given point and touch a given line. Shew that theircentres lie on a hyperbola. (Trinity.) CHAPTEK IV. GENERAL PROPERTIES OF CONICS. 1. It i8 our purpose now to investigate some ofthe more important general properties of conies.… … Fig. 50. Let AB be the given line, A and B being real points. Let I and J be the Circular Points at Infinity. Let Al and BJ intersect in C; and AJ and Bl inter-sect in D. By Chap. I. Art. 14, X is the harmonic conjugatewith respect to A, B of the point in which AB cuts the 112 PROJECTIVE GEOMETRY…
Geometry, Projective
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