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Elements of analytical geometry and the differential and integral calculus (1856)

Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 36

An illustration from Elements of analytical geometry and the differential and integral calculus, 1856, leaf 36
ir-cumference is then at Yov Y\ When X is positive, then P is on the right of the axis of Y,and when negative, P is on the left of that axis, or between Aand A\ When we make radius unity, as we often do in trigonometry,then x^-\-y^ = \, and then giving to x oy y any value plus orminus within the… … 2a ANALYTICAL GEOMETRY. Now if we remove the origin to A and call the distanceAF=x, then AF=x—E, and the triangle AFH gives Whence y^=2JRx—x^. (2) This is the equation of the circle, when the origin is on thecircumference. When x=0 y=0 at the same time. When x is greater than2M, y becomes…

Geometry, Analytic · Calculus

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