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Plane and solid analytic geometry; an elementary textbook (1901)

Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 108

An illustration from Plane and solid analytic geometry; an elementary textbook, 1901, leaf 108
ases the law may be expressed asan equation in x and y at once by the aid only of a sim-ple geometrical construction. There are many problemswhich may be solved in this way. PROBLEMS 1. The sum of the squares of the distances of a movingpoint from two fixed points is constant. Find the locusof the… … the moving point. Then placing the sum of the squaresof the two distances equal to a constant, k< we have This is then the equation whichmust be satisfied by the coordi-nates of all points fulfilling thegiven conditions, and is there-fore the equation of the locusdesired. Reducing, we have x2 +…

Geometry, Analytic

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