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The elements of coordinate geometry (1895)

Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 73

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i.e. 119a;+ 1022/= 125. 58 COORDINATE GEOMETRY. Aliter. Any straight line through the intersection of the straightlines (1) is i.e. (2 + 3X)a; + ?/(4X-3) + 4-5X = 0 (3). This straight line is perpendicular to (2), if 6(2 + 3X)-7(4X-3) = 0, (Art. 69) i.e. a \ = u. *The equation (3) is therefore i.e.… … Let the two straight lines be AL^ and AL^, and let thebisectors of the angles between them be AM^ and A^f^- Let P be any point on either of these bisectors anddraw PiVi and FJV^ perpendicular to the given lines. The triangles PAN-^ and PAN<^ are equal in all respects,so that the perpendiculars…

Coordinates · Geometry, Analytic

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