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单词 spherical triangle
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spherical triangle
a. Of lines or figures: Drawn in, or on the surface of, a sphere; esp. spherical triangle.
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the world > relative properties > number > geometry > shape or figure > [adjective] > being acted upon > drawn > on or in shape
spherical1571
1571 T. Digges in L. Digges's Geom. Pract.: Pantometria x. sig. Y i v The axis and sphericall Diameter of thys Dodecaedron.
1585 J. Blagrave Math. Iewel (title page) The whole Artes of Astronomy... Dyalling, Sphericall triangles, Setting figures [etc.].
1632 J. Hayward tr. G. F. Biondi Eromena 136 Such like were the reasonings of sundry young Princes of divers Countries, who like sphericall lines came to meete all in one and the same center.
1678 T. Hobbes Decameron Physiologicum ix. 113 The Arch of a Spherical Angle is the side opposite to the Angle.
1715 tr. D. Gregory Elements Astron. I. iii. §43. 476 The spherical Triangle PLT.
a1831 Encycl. Metrop. (1845) I. 362/1 A spherical polygon is a portion of the surface of a sphere terminated by several arcs of great circles.
1860 A. Cayley Coll. Math. Papers (1891) IV. 428 The envelope of XY is a spherical conic.
1861 J. H. Parker Introd. Study Gothic Archit. (ed. 2) Gloss. Ind. 250 Spherical triangle, a triangular opening with curved sides, used in clearstory windows.
1886 G. B. Brown Schola to Cathedral iv. 168 The spherical pendentive, by which dome construction was brought to perfection.
extracted from sphericaladj.n.
spherical triangle
circular triangle, a plane triangle formed by three intersecting circular arcs. spherical triangle, a triangle formed by three arcs upon the surface of a sphere: see spherical adj. and n. triangle of forces, the theorem in statics that if three forces in one plane, acting at one point, be in equilibrium, three straight lines in that plane parallel to their directions will form a triangle whose sides are proportional to their magnitudes.extracted from trianglen.
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