Elements of analytical geometry and of the differential and integral calculus (1866)
Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 71
have, 70 ANALYTICAL GEOMETRY. [bOOK H. {x - x) X [ic + x 4- a[y + y)] = 0, which is satisfied by making, x — x = 0, or, a; + aj + a{y + y) = 0. In the first equation, x denotes the abscissa of the pointP; in the second, of P. If we suppose the secantPP to turn around thepoint P, the point Pwill… … a = r,, y a;, y\ being the co-ordinates of the point of contact. ion (2), we Substituting this value in Equation (2), we have, y-y =-y. or, by reducing, yy _ 2/2 _ _ a-^a; ^ aj/a^ or,or, yy + xx = 2/2 + aj BOOK n.] THE CIRCLE. 71 in which X and y are the general co-ordinates of the tan-gent line.…
Geometry, Analytic · Calculus
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