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A first course in projective geometry (1913)

Smart, Edward Howard · London : Macmillian and Co. · leaf 70

An illustration from A first course in projective geometry, 1913, leaf 70
HAPTER V. INVERSION, SIMILITUDE, COAXAL CIRCLES. § 1. Certain methods and results in the plane geometry ofthe circle and of other figures, of which subsequent use willbe made, are dealt with in this chapter. The student who isfamiliar with them may pass on to the next; they are, how-ever, given… … Pig. 15. radius of the circle, they are said to be inverse points withrespect to the circle. INVERSION 43 § 3. Prop. Any circle drawn through a pair of inversepoints with respect to a given circle cuts the given circleorthogonally (i.e. at right angles). If the circles cut in Q, OP.OP^OQ^, since P…

Geometry, Projective

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