Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 59
Butwhen Q coincides with F, we shall havey=y and x=x. Whence (5) becomes 2Ay=-^—x\a Or B^x A^y This value of a put in (1) givesB^x y—y {x—x). A^y Reducing Ayy-\-B^xx=^Ay^-\-Bx^. Or A^yy+B^xx=A^BK This is the equation sought, x and y being the general co-ordinates of the line. Scholium 1. To find… … THE ELLIPSE. 61 circle; and to find where this tangent meets the axis of X, wemake ^=0, and a?= = CT, as before. x In short, as these results are all independent of B, the minoraxis, it follows that the circle and all ellipses on the major axisAB can have tangents terminating at the same point T on…
Geometry, Analytic · Calculus
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