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Versed a. World English Historical Dictionary

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Versed a. World English Historical Dictionary Dictionary Biographies Literary Criticism Welcome Terms of Service ⧏ Previous Next ⧐ Contents Slice Contents Key Bibliographic Record Murray’s New English Dictionary. 1928, rev. 2024. Versed a. [f. mod.L. vers-us (sc. sinus), pa. pple. of L. vertĕre to turn.]

1   1.  Versed sine. a. Trig. Originally, the segment of the diameter intercepted between the foot of the sine and the extremity of the arc; in mod. use, the ratio of this line to the radius, or (equivalently, as a function of an angle) the quantity obtained by subtracting the cosine from unity.

2   In mod. use also in the contracted form VERSIN.

3 1596.  W. B[urrough], Variation of Compasse, B 5 b. The versed signe of the semidiurnall arke.

4 a. 1652.  S. Foster, Descr. Ruler. A large Scale of Versed-Sines.

5 1690.  Leybourn, Curs. Math., 397. The Line VS … is the Line of Versed Sines.

6 1732.  Hadley, in Phil. Trans., XXXVII. 353. Draw b D the Sine, and b r the Sine complement of the Arch B b : BD is the versed Sine of the same.

7 1763.  Emerson, Meth. Increments, 91. Hence we have the following series of versed sines.

8 1828.  J. M. Spearman, Brit. Gunner (ed. 2), 319. The arcs being similar, the versed sines are proportional to the arcs or to their radii.

9 1853.  Sir H. Douglas, Milit. Bridges (ed. 3), 43. A segment of a sphere whose radius is r, the sagitta, or versed sine, being d.

10   b.  Bridge-building. The rise of an arch.

11 1838.  Civil Eng. & Arch. Jrnl., I. 127/1. The Dover road is carried over the railway by a flat segmental arch, 30 feet span, the rise or versed sine [printed line] is only two feet. Ibid. (1839), II. 191/2. Span of the arch … 58 feet—the rise or versed sine being ten feet.

12 1879.  Cassell’s Techn. Educ., IV. 384/1. It forms the strongest arch;… but in consequence of the height of the versed sine … it becomes necessary … to limit the span.

13   † 2.  Versed scale, a scale of versed sines. Obs.

14 a. 1652.  S. Foster, Descr. Ruler, viii. 31. The Versed Scale is in length four times the same Radius. Ibid., 32. Let the Tangents … be measured out of the Versed Scale.

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