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Projective geometry for use in colleges and schools (1911)

Milne, William P. (William Proctor), 1881- · London : Macmillan · leaf 71

An illustration from Projective geometry for use in colleges and schools, 1911, leaf 71
Fig. 24. Generalisation. If O he a point whose Polar Line meets a conicin I and J, and if P he a point on the conic, thetangent at which meets IJ in Z, then will OP and OZharmonically separate Ol and OJ. Example 2. If two circles he concentric, and a chord of onetouch the other, it is hisected at… … Fig. 2t of one touch the otlier at L and cut IJ in M, then L, Mharmonically separate P, Q. Example 3. If A he a fixed ijoint on a circle, and if PQ he achord subtending a constant angle at A, then PQ willenvelope a circle concentric with the given circle.

Geometry, Projective

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