单词 | alternate angle |
释义 | > as lemmasalternate angle a. Geometry. Of two angles: formed by a line that cuts two other lines, and lying on opposite sides of the cutting line (and, usually, also on opposite sides of the lines cut); designating an angle of this type. Frequently in alternate angle. ΚΠ 1570 H. Billingsley tr. Euclid Elements Geom. i. f. 37 If a right line falling vpon two right lines, do make the alternate angles equall the one to the other: those two right lines are parallels the one to the other. 1656 tr. T. Hobbes Elements Philos. ii. 139 If there be drawn by the Vertex of the plain Triangle ABC (figure 5.) a Parallel to any of the sides, as to AB, the Angles A and B will be equal to their alternate Angles E & F. 1784 W. Nicholson Navigator's Assistant i. ii. iii. 28 The angle EGD is equal to its alternate angle FHA. 1827 O. Gregory Hutton's Course Math. (ed. 9) I. 293 When a line intersects two parallel lines, it makes the alternate angles equal to each other. 1903 J. McMahon Elem. Plane Geom. i. 56 Neither alternate angle is greater than the other; hence the alternate angles are equal. 1998 J. L. Heilbron Geom. Civilized ii. 58 We therefore have a transversal cutting two lines so that the alternate internal angles are equal. < as lemmas |
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