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单词 an inflection
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an inflection
3. Geometry. Change of curvature from convex to concave at a particular point on a curve; the point at which this takes place is called a point of inflection (or shortly an inflection); at such a point the moving tangent to the curve becomes stationary, the direction of its angular motion being changed; hence inflection is also applied to such a stationary tangent itself, or to the analogous stationary osculating plane ( plane inflection) in a non-plane curve.
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1721 N. Bailey Universal Etymol. Eng. Dict. Inflection Point of a Curve is the Point where a Curve begins to bend back again a contrary Way.
1743 W. Emerson Doctr. Fluxions 144 The Point of Inflexion or contrary Flexure is that Point which separates the convex from the concave Part of the Curve.
1882 G. M. Minchin Uniplanar Kinematics 100 Points on this circle are therefore points of inflexion on the roulettes to which they give rise; and the circle is hence called the Circle of Inflexions.
1886 A. G. Greenhill Differential & Integral Calculus 240 At a point of inflexion the curve crosses the tangent.
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