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 158
ts and number the division-points from A to B, from A to C,and from C to B. The lines joining equal numbers on AC andCB are tangents of the required parabola, and the perpendicularsfrom corresponding equal division-points on AB cut tfiese tangentsin their points of tangency. 5. Construction of an… … Fig. 58. In this case the Brianchon points are infinitely distant. Hence,drawing through A and B two parallel lines in any direction,cutting the asymptotes at C and D, the line joining C with Dwill be a required tangent of the hyperbola. To study the metricalrelations of this hyperbola, we have…
Geometry, Projective · Geometry, Analytic
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