Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 171
Fig. 82. The sides of the parallelogram are evidently 2 af and 2 bf.From C drop a perpendicular CM on AB. Its length isthe distance from the origin to the line b2xxx + a2yxy = a2b2, or (by [IT]) car- a2p V6 V + a%2But the area of the parallelogram = 2 CM x ^5 = 2 (7i!f x P2KV 2 a262 = 4aJ. 2V&V… … 8. In the hyperbola the parallelogram formed by thetangents at the ends of conjugate diameters has its verticeson the asymptotes. 9. In the hyperbola, the line joining the ends of conju-gate diameters is parallel to one asymptote and is bisectedby the other. 10. Show that the angle between two…
Geometry, Analytic
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