Smart, Edward Howard · London : Macmillian and Co. · leaf 292
base circleis a matter of small consequence; the position of the centreis the all-important consideration, and on this account reci-procation with respect to a circle is sometimes called pointreciprocation.] Let the dotted circle be the base. Let O be the centre ofthe circle to be reciprocated and… … Fig. 131. By Salmons Theorem (§ 4, Chap. YL), SP_ PK so~oq . sp so , ^ • • i:^, = ^::^ = constant.PK OQ The locus of P is thus a conic whose focus is S and corre-sponding directrix the polar of the centre of the given circlewith respect to the base circle. The eccentricity is = 1, according as SO ^…
Geometry, Projective
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