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Analytical geometry for beginners (1905)

Baker, Alfred, 1848-1942 · Toronto : W.J. Gage · leaf 44

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respectively. Let P {x, y)be any point on the line, whose ordinate is FX. Then, by similar triangles FXA, BOAjy (( - X ^ y 1 or - + ^ = 1,a 0 which is the equation required. This is the equation of a line through two givenpoints (rt, o), (o, Z>;, the points being in particular posi-tions, i.e.,… … Let Pj (x^, y^) and P^ {x.^, y^) be the two fixedpoints through which the line passes ; and let P (x, y)be any point on the line. Complete the figure as inthe diagram. Then the lines in the figure haveevidently the values indicated; and by similar triangles which is the equation required. The…

Geometry, Analytic

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