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Projective geometry for use in colleges and schools (1911)

Milne, William P. (William Proctor), 1881- · London : Macmillan · leaf 148

An illustration from Projective geometry for use in colleges and schools, 1911, leaf 148
e tangent from P to the circle A bears aconstant ratio to the tangent from P to the circle B, thenwill P describe a circle coaxal with A and B/^^) If Sj and Sg be two given conies, the envelope ofa line p cutting S^ and S2 such that the intersectionsof p loith Sj harmonically separate the… … Let P, Q harmonically separate R, S\ 128 PEOJECTIVE GEOMETRY Drop the perpendiculars Am and Bn on to theline p. Then m is the mid-point of PQ and N isthe mid-point of RS. Now, by an elementary property of HarmonicDivision, since P, Q harmonically separate R, S andsince M is the mid-point of PQ,…

Geometry, Projective

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