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单词 orthogonal trajectory
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orthogonal trajectory
orthogonal trajectory n. Geometry a curve intersecting each of a family of curves at right angles.
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1816 tr. S. F. Lacroix Elem. Treat. Differential & Integral Calculus 403 The trajectories in which the angle TMt is a right angle, are called orthogonal trajectories.
1882 S. H. Vines tr. J. von Sachs Text-bk. Bot. (ed. 2) 951 The planes of the walls in a growing-point are classified thus: a. Periclinal... b. Anticlinal, those which intersect the surface and the periclinal walls at right angles... If the outline..of the growing-point is a parabola..the anticlinals being the orthogonal trajectories of the periclinals, constitute a system of confocal parabolas.
1904 Trans. Amer. Math. Soc. 5 56 Such a system of geodesics together with the orthogonal trajectories may be regarded as dividing the surface into infinitesimal squares.
1993 Amer. Math. Monthly 100 127 But because z → z2 is conformal, the image H must be an orthogonal trajectory through the new family of ellipsis.
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