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单词 point of inflection
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point of inflection
point of inflection n. (a) Optics a point at which a ray changes direction (obsolete); (b) Mathematics a point of a curve at which a change in the direction of curvature occurs.
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the world > relative properties > number > geometry > point > [noun] > on a curve > point of inflection
point of inflection1670
osculum1728
flex1866
1670 S. Gott Divine Hist. Genesis World vii. 174 If they be Interrupted or Offended by any other Body Refracting or Reflecting them,..they are Inflected and also pass from any such point of Inflection to another in Direct Lines.
1704 Philos. Trans. (Royal Soc.) 24 1700 An universal method..of determining the points of inflexion and retrogression.
1886 A. G. Greenhill Differential & Integral Calculus 240 At a point of inflexion the curve crosses the tangent.
1915 Q. Jrnl. Econ. 29 641 There is some..ground for supposing the demand curve to be of the hyperbola type, a curve without points of inflection.
1991 C. B. Boyer & U. C. Merzbach Hist. Math. (ed. 2) xviii. 374 Christiaan Huygens..found the maximum and minimum points and the point of inflection and was able to sketch the curve correctly.
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