Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 170
m the fact that the tan-gents are special cases of the system of parallel chords. 6. The tangent at the end of a diameter of the parabolais parallel to the system of chords which the diameter bisects. 7. The area of the parallelogram formed by tangents atthe ends of conjugate diameters of a central… … 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…
Geometry, Analytic
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