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Projective geometry for use in colleges and schools (1911)

Milne, William P. (William Proctor), 1881- · London : Macmillan · leaf 113

An illustration from Projective geometry for use in colleges and schools, 1911, leaf 113
e, by Chap. III. Art. 13, that the reciprocalof a conic with respect to a base-circle is a conic. If,however, we choose a focus of the conic to be recipro-cated as the centre of reciprocation, the conic istransformed into a circle. Thereby many importantproperties of conies are easily deduced. 0^… … Fig. 41. Let O be the focus of the conic S, and let U be the base-circle of the reciprocation having O as centre. Let us interpret all the lines and points of the abovefigure as explained in Chap. 11. By Chap. III. Art. 1*3 the reciprocal of the conic Swith respect to U is another conic S\ Since Ol…

Geometry, Projective

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