Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 233
ll be positive, and the re-verse will be the case as represented in the next figure. The point M, whose co-ordinates arear=a and y=-h, in both cases is a point ofinflection at which the tangent line is per-pendicular to the axis of X. Whence wemay say, a point of inflection is one at whichas the… … dx S(a;--a)3 dx 9(a;—a)3 I THEORY OF CURVES. 226 Tf x=ia, v=h. —^= infinity, and —^= infinity.dx dx^ If X is less than a, — will be negative, and if x is greater thandy a, it will be positive. Hence, at the point whose co-ordinates are x=a and y=^h, ^ must change its sign from minus to plus,dx…
Geometry, Analytic · Calculus
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