Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 130
the equation of the locus of a point such thatthe square of its distance from (-2, - 1) is greater thanthe square of its distance from (5, 3) by 11. 6. A (1, 0) and B (9, 0) are two fixed points and P is avariable point such that PB = 3 PA. Find the equation ofthe locus of P. 7. Plot the following… … Let the st. line cut the axes at A, B so that OAOB = b. a, Take P (x, y) any point on the line, and draw PM \\Oyand terminated in Ox at M. From the similar As APM, ABO, PM AMBO ~ AO y a—x,b a a +b L Note.—It is seen from the diagrams that both the proofand the form of the equation are the same for…
Geometry · Geometry, Analytic
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