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Analytic geometry, for technical schools and colleges (1897)

Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 105

An illustration from Analytic geometry, for technical schools and colleges, 1897, leaf 105
equations by a, /3, 7. Then 0 = 0, |3 = 0, 7 = 0 represent the sides ofthe triangle, and a, /3, 7 evaluated forthe coordinates of any point (x, y)are the distances from this point tothe sides of the triangle. Hence theequations of the bisectors of the anglesare a- p =0, ^-7=0, 7-0 = 0.The sum of… … henceSimi- sin B sin Aa sin A- ^sinB = 0 is the equation of the median through C.larly the equation of the median through B is found to be 7 sin C — a sin ^4 = 0;of the median through A, /3 sin B -y sin C = 0. The sum of these equa-tions vanishes identically.

Geometry, Analytic

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