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单词 parabolic leg
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parabolic leg
11. Each of the sides of a triangle (in later use esp. those forming the right angle of a right-angled triangle); a segment of a curve or geometric figure lying to one side of a given vertex or cusp (frequently with distinguishing word, as hyperbolic leg, parabolic leg, etc.).
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the world > relative properties > number > geometry > shape or figure > [noun] > two-dimensional > triangle > side or segment of
casus?a1560
hypotenuse?a1560
shank1587
leg1603
crure1610
hypotenusal1648
crus1712
1603 P. Holland tr. Plutarch Morals 1020 The triangle with three unequall legs made the pyrimidall body.
1659 J. Moxon Tutor to Astron. (1674) vi. i. 184 The Legs of a Right Angled Spherical Triangle.
1702 J. Raphson Math. Dict. Isosceles Triangle is a Triangle that has two equal Legs.
1728 E. Chambers Cycl. at Curve The Legs of Curves..are either of the Parabolic or Hyperbolic Kind: an Hyperbolic Leg, being that which approaches infinitely towards some Asymptote; a Parabolic, that which has no Asymptote.
1839 Observer & Rec. Agric., Sci., & Art. 1 July 158/1 Sir Isaac Newton reduces all curves..into those with hyperbolic legs, and those with parabolic ones.
1859 Math. Monthly Apr. 254 These sides are then called the legs of the triangle, while the third side is called the hypothenuse.
1934 Sewerage Wks Jrnl. 6 197 The author also studied the decreasing leg of the curve to which we need make no further reference at this point.
1964 A. H. Beiler Recreations in Theory of Numbers (1966) xiv. 104 The Pythagorean theorem, which states that the sum of the squares on the legs of a right-angled triangle is equal to the square on the hypotenuse.
2004 Winchester (Va.) Star 6 Mar. I b4/5 Travelling two legs of a triangle, instead of the hypotenuse, adds more length to the line.
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