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Analytical geometry for beginners (1905)

Baker, Alfred, 1848-1942 · Toronto : W.J. Gage · leaf 43

An illustration from Analytical geometry for beginners, 1905, leaf 43
dataforming the coefficients of x and y, and the constantterm. The student who w^ishes to follow the subjectof Analytical Geometry intelligently must never losesight of the absolute correlation, or correspondence,which exists betw^een the line, straight or curved, ardthe equation w^hich is its… … Let OA, = a, and 0B, = 1j^ be the intercepts of theline on the axes of x and ij 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…

Geometry, Analytic

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