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The elements of coordinate geometry (1895)

Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 256

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= m,sothat- = ^-^^. Hence, since {x, y) satisfies the relation -^ + ^ = 1> ^^^ obtain y^ 62 b^m y ~ Ja^ + hHi^The equation to the normal is therefore y=mx- f- ^. This is not as important an equation as the corresponding equa-tion in the case of the parabola. (Art. 208.) When it is desired to… … Let the tangent and normal at P, the point (x, 3/),meet the axis in T and G respectively, and let PN be theordinate of P, L. 16 242 COORDINATE GEOMETRY. The equation to the tangent at P is (Art. 262) ? + f^=l (!)• To find where the straight line meets the axis we puty — 0 and have x=-, i.e. CT^ ^…

Coordinates · Geometry, Analytic

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