Elements of analytical geometry and of the differential and integral calculus (1866)
Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 70
points of a curve are consecutive^ when there isno point of the curve between them. A straight line is tangent to a curve when it has twoconsecutive points in common with the curve. To find the equation of a tangent line to a circle. Let A be the origin, and the equation of the circle, x^ +i/^=Ji^,… … y - y = a(x - x) (2.) It is required to find the value of a, when the secantline PB becomes tangent to the circumference. Since the point P is in the circumference, its co-ordinateswill satisfy the equation of the circle, and we shall have, JB2 4. y2 ^722 (3) Subtracting Equation (3) from (1),…
Geometry, Analytic · Calculus
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