英语词汇“radius of torsion”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

radius of torsion n. [after French rayon de torsion (1845 or earlier)] Mathematics the reciprocal of the torsion (torsion n. 1e) of a curve in three dimensions.

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radius of torsion1862

1862 G. Salmon Treat. Analytic Geom. Three Dimensions xi. 270 Following the analogy of the radius of curvature which is ds/dθ, the later French writers denote the quantity ds/dη by the letter r, and call it the radius of torsion.

1945 Amer. Math. Monthly 52 221 R² = ρ² + τ²ρ′², where τ is the radius of torsion of the curve.

1997 Internat. Jrnl. Solids & Structures 34 2499 For a skew line we have to define also the radius of torsion.

e. Mathematics. The degree to which a curve departs from being planar at any given point, measured by the rate of change of the angle of the osculating plane or the binormal with respect to distance along the curve; radius of torsion, the reciprocal of this.

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the world > relative properties > number > geometry > curve > [noun] > torsion

torsion1862

1862 G. Salmon Treat. Analytic Geom. Three Dimensions xi. 269 The angle made with each other by two consecutive osculating planes..we shall call the angle of torsion, and denote by dη.

1939 Burington & Torrance Higher Math. vi. 711 Torsion is agreed to be positive when the rotation (with s increasing) of the binormal increases in the same sense as that of a right-handed screw traveling in the direction of t.

1978 E. C. Young Vector & Tensor Anal. ii. 106 The torsion of a plane curve is zero, just as the curvature of a straight line is zero.

单词	radius of torsion
释义	> as lemmas radius of torsion radius of torsion n. [after French rayon de torsion (1845 or earlier)] Mathematics the reciprocal of the torsion (torsion n. 1e) of a curve in three dimensions. ΘΚΠ the world > relative properties > number > geometry > curve > [noun] > torsion > reciprocal of radius of torsion1862 1862 G. Salmon Treat. Analytic Geom. Three Dimensions xi. 270 Following the analogy of the radius of curvature which is ds/dθ, the later French writers denote the quantity ds/dη by the letter r, and call it the radius of torsion. 1945 Amer. Math. Monthly 52 221 R² = ρ² + τ²ρ′², where τ is the radius of torsion of the curve. 1997 Internat. Jrnl. Solids & Structures 34 2499 For a skew line we have to define also the radius of torsion. extracted from radiusn. radius of torsion e. Mathematics. The degree to which a curve departs from being planar at any given point, measured by the rate of change of the angle of the osculating plane or the binormal with respect to distance along the curve; radius of torsion, the reciprocal of this. ΘΚΠ the world > relative properties > number > geometry > curve > [noun] > torsion torsion1862 1862 G. Salmon Treat. Analytic Geom. Three Dimensions xi. 269 The angle made with each other by two consecutive osculating planes..we shall call the angle of torsion, and denote by dη. 1862 G. Salmon Treat. Analytic Geom. Three Dimensions xi. 270 Following the analogy of the radius of curvature which is ds/dθ, the later French writers denote the quantity ds/dη by the letter r, and call it the radius of torsion. 1939 Burington & Torrance Higher Math. vi. 711 Torsion is agreed to be positive when the rotation (with s increasing) of the binormal increases in the same sense as that of a right-handed screw traveling in the direction of t. 1978 E. C. Young Vector & Tensor Anal. ii. 106 The torsion of a plane curve is zero, just as the curvature of a straight line is zero. extracted from torsionn. < as lemmas
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> as lemmas