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Elements of analytical geometry and of the differential and integral calculus (1866)

Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 82

An illustration from Elements of analytical geometry and of the differential and integral calculus, 1866, leaf 82
n of the ellipse, we make y = 0, the corresponding values of x will be theabscissas of the points in which the curve intersects theaxis of X (Bk. n., Art. 4—1), viz.: X = -\- A, for J3, and X = — A, for A, 2. If we make cc =r 0, the corresponding values of y will!be the ordinates of the points in… … 82 ANALYTICAL GEOMETRY, [book hi. minus, there will be two values for y, numerically equal,with contrary signs ; hence, the curve is symmetrical withrespect to the transverse axis. If X be made greater than A^ whether it be taken plusor minus, the values of y will be imaginary; hence, thecurve will…

Geometry, Analytic · Calculus

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