Smart, Edward Howard · London : Macmillian and Co. · leaf 74
It follows that if two curves cut at P, their inverses cut atP at the same angle. SIMILITUDE. § 8. Centres of Similitude of two Circles. The two points which divide the line joining the centres of twogivert circles internally and externally in the ratio of the radiipossess the property tlmt every… … Fig. 19. AX PAThen — = —, and the angle AXP = angle BXQ; .. theXB QB triangles, being such that the angles at A and B are both obtuse—as in the figure—or both acute, are similar; . PX PA , ^ • • ^:77^ = T^Tr^ = constant.XQ QB SIMILITUDE 47 Similarly we could prove the property for any secantthrough…
Geometry, Projective
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