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An introduction to projective geometry and its applications; an analytic and synthetic treatment (1905)

Emch, Arnold, b. 1871 · New York, J. Wiley & sons; London, Chapman & Hall, limited · leaf 129

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 129
cumscribedabout a conic with the points of tangency KLMN, Fig. 47. Thepairs of sides ^5 and CD, BC and AD, CA and BD intersecteach other in the three points OPQ. The pole of ^C is thepoint of intersection of KN and LM and is the point of con-currence of PO, ML, DB, NK. Similarly, KL, AC, NM meet•at… … Fig. 47. THEORY OF CONICS. 117 at random on NL, by which the fourth side CD and its pointof contact is perfectly determined. From this the propositionfollows: Let PAB he a triangle circumscribed to a conic, and LN thechord of contact of the tangents PB and PA; then the lines join-ing any point Q on…

Geometry, Projective · Geometry, Analytic

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