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A first course in projective geometry (1913)

Smart, Edward Howard · London : Macmillian and Co. · leaf 102

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of its point of contact, andaccordingly to a system of points on the circle corresponds asystem of tangents to the circle in the reciprocal figure. Alsothe circle itself regarded as a locus of points is its oton re-ciprocal regarded as an envelope of tangents (Fig. 36). § 6 shows that conjugate… … ^^ Pig. 36. §13 practically carries out the process of reciprocation in thecase of the last two. § 15. To sum up, we can translate a theorem into itsreciprocal by interchanging terms as follows : point join of two points lie on collinear range harmonic range straight line intersection of two st.…

Geometry, Projective

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