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 147
Fig. 49. were arbitrarily selected, this is generally true, hence PascalsTheorem: In any hexagon which is inscribed in a conic, the three pairsof opposite sides intersect in three collinear points. We shall call such a line of collinearity a Pascal line. By reciprocation. Fig. 50 (§ 37), we obtain… … Fig. 50. In any hexagon which is circumscribed about a conic, thethree principal diagonals are concurrent. THEORY OF CONICS. I3S We shall call such a point of. concurrence a Brianchon point. 2. Salmon, in his treatise on Conic Sections, 1848, gave aremarkably simple proof for Pascals theorem, based…
Geometry, Projective · Geometry, Analytic
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