Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 169
Fig. 82. The sides of the parallelogram are evidently 2 a^ and 2 V,From C drop a perpendicular CM on AB. Its length isthe distance from the origin to the line h^x^x + o^yiy = ^^^^ or (by [17])CM= But the area of the parallelogram 2 OMx AB=2 OMx P^K,^. 2 ^252 = 4. ah. 152 ANALYTIC GEOMETRY [Ch. XI,… … 8. In the hyperbola the parallelogram formed hy 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. Shoiv that the angle betiveen two…
Geometry, Analytic
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