| 释义 |
hodograph|ˈhɒdəʊgrɑːf, -æ-|
[f. Gr. ὁδός way + -γραϕος (-graph), writing, writer.]
1. Math. A curve, invented by Sir W. R. Hamilton, of which the radius vector represents in magnitude and direction the velocity of a moving particle. Also attrib. Hence extended to curves in which the radius represents other vector quantities.
1846Proc. R. Irish Acad. III. 347 The Newtonian law [of attraction] may be characterized as being the Law of the Circular Hodograph. 1879Thomson & Tait Nat. Phil. I. i. §37 If from any fixed point, lines be drawn at every instant, representing in magnitude and direction the velocity of a point describing any path in any manner, the extremities of these lines form a curve which is called the Hodograph. 1883A. S. Herschel in Nature 15 Mar. 458 The square of the hodograph-radius signifies the square of the material point's velocity, or its directed actual energy. 1944H. R. Byers Gen. Meteorol. viii. 212 The details of the change of the geostrophic winds with height are studied by means of a hodograph. 1961Aero/Space Engin. Feb. 24/2 (title) The hodograph and ballistic missile trajectory problems. 1966McGraw-Hill Encycl. Sci. & Technol. XIII. 508/2 These [changes] are most readily described with the aid of a hodograph of the potential gradient vector... One vector only is shown..extending from the origin of coordinates to a point on the hodograph.
2. A machine invented by Prof. Marey, for registering the paces of a horse, etc. (Commonly, but unetymologically, spelt odograph.)
1883Mag. of Art VI. 199 Some years ago one of the horses in Miss Thompson's ‘Roll-Call’ was severely attacked, and proved incorrect by scientific men, odograph in hand.
Hence hodoˈgraphic a., of the nature of, or pertaining to, a hodograph; hodoˈgraphically adv., by means of a hodograph.
1846Proc. R. Irish Acad. III. 345 This hodographic curve. 1847Ibid. 417 Note by Sir W. R. Hamilton, announcing a theorem of hodographic isochronism. Ibid., The times of hodographically describing the intercepted arcs will be equal. |