Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 212
ssively equal to 0, we get theintercepts on the axes; thus, x=:2x = CT and y = 2y= CT, Hence the point of contactis the middle point of TT\or, that portion of a tan-gent intercepted betweenthe asymptotes is bisectedat the point of contact. Cor. 2. CT X Cr = 4:xy= a + h; or, the rectangle formed by… … 2 • a^ + b= ab, a constant; or, the area of the triangle formed by any tangent and theasymptotes is constant and equal to the rectangle of thesemi-axes. THE HYPERBOLA. 197 EXERCISES. 1. Find the equation of that hyperbola whose transverseaxis is 8 and which passes through the point (10, 25). Ans.…
Geometry, Analytic
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