英语词汇“geodesic line”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

3. Geometry. Designating a line on the surface of a sphere or other surface which traces the shortest possible distance on the surface between two given points; (more generally) a line on a surface that locally minimizes the distance between its end-points. Also: of or relating to such lines. Frequently in geodesic curve, geodesic line. Cf. geodetic adj. 2.Originally with reference to the surface of the earth. A geodesic line on a sphere is a great circle. In relativity theory a geodesic is the path in space-time that a particle follows when it is not acted on by an external force.

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1809 Philos. Mag. 34 255 The geodesic line is a curve whose first side is a tangent in any given direction to the surface of the earth.

1837 Math. Probl. Senate-House Exam. Papers xvi. 227 State the theorem by which the computation of a triangle on the terrestrial sphere is reduced to that of a plane triangle having sides of the same length, and apply it to solve a geodesic triangle where two sides and the included angle are given.

1862 London Univ. Cal. p. cxciv A geodesic curve is drawn on a surface of revolution, and this curve is projected on a plane perpendicular to the axis and cutting the axis in the point O.

1898 Proc. London Math. Soc. 29 275 (title) The geodesic geometry of surfaces in non-Euclidean space.

1907 M. Merriman Elem. Precise Surv. & Geodesy (ed. 2) vii. 175 On a sphere the two normal sections and the alignment and geodesic curves between A and B coincide in an arc of a great circle.

1935 Geogr. Jrnl. 85 466 The equation of the orthodrome (geodesic line).

1972 M. Kline Math. Thought xxxvii. 886 Two points on the same generator of a circular cylinder are connected by a geodesic along the generator but also by an infinite number of geodesic helices.

2001 G. Cole in P. Moore 2002 Yearbk. Astron. ii. 194 The path of a test mass in the presence of a gravitational field is represented by a special path (a geodesic path) in the chosen geometry.

2002 K. Heusch tr. H. Fritzsch Curvature of Spacetime x. 133 The straight world-lines of objects moving freely in two-dimensional spacetime are, as we see, the geodesic lines in spacetime.

单词	geodesic line
释义	> as lemmas geodesic line 3. Geometry. Designating a line on the surface of a sphere or other surface which traces the shortest possible distance on the surface between two given points; (more generally) a line on a surface that locally minimizes the distance between its end-points. Also: of or relating to such lines. Frequently in geodesic curve, geodesic line. Cf. geodetic adj. 2.Originally with reference to the surface of the earth. A geodesic line on a sphere is a great circle. In relativity theory a geodesic is the path in space-time that a particle follows when it is not acted on by an external force. ΚΠ 1809 Philos. Mag. 34 255 The geodesic line is a curve whose first side is a tangent in any given direction to the surface of the earth. 1837 Math. Probl. Senate-House Exam. Papers xvi. 227 State the theorem by which the computation of a triangle on the terrestrial sphere is reduced to that of a plane triangle having sides of the same length, and apply it to solve a geodesic triangle where two sides and the included angle are given. 1862 London Univ. Cal. p. cxciv A geodesic curve is drawn on a surface of revolution, and this curve is projected on a plane perpendicular to the axis and cutting the axis in the point O. 1898 Proc. London Math. Soc. 29 275 (title) The geodesic geometry of surfaces in non-Euclidean space. 1907 M. Merriman Elem. Precise Surv. & Geodesy (ed. 2) vii. 175 On a sphere the two normal sections and the alignment and geodesic curves between A and B coincide in an arc of a great circle. 1935 Geogr. Jrnl. 85 466 The equation of the orthodrome (geodesic line). 1972 M. Kline Math. Thought xxxvii. 886 Two points on the same generator of a circular cylinder are connected by a geodesic along the generator but also by an infinite number of geodesic helices. 2001 G. Cole in P. Moore 2002 Yearbk. Astron. ii. 194 The path of a test mass in the presence of a gravitational field is represented by a special path (a geodesic path) in the chosen geometry. 2002 K. Heusch tr. H. Fritzsch Curvature of Spacetime x. 133 The straight world-lines of objects moving freely in two-dimensional spacetime are, as we see, the geodesic lines in spacetime. extracted from geodesicadj.n. < as lemmas
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