英语词汇“versed sine”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

1. versed sine.

a. Trigonometry. Originally, the segment of the diameter intercepted between the foot of the sine and the extremity of the arc; in modern 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.In modern use also in the contracted form versin n.

ΘΚΠ

the world > relative properties > number > geometry > [noun] > branches of > trigonometry > functions of > versed sine

shaft1552

versed sine1581

arrow1594

sagitta1675

co-versed sine1706

verse-sine1772

suversed sine1782

versina1831

1581 W. Borough Discours Variation Cumpas v. sig. C.j^v The versed sine of the Semidiurnall arke.

1652 S. Foster Posthuma Descr. sig. A3^v A large Scale of Versed-Sines.

1690 W. Leybourn Cursus mathematicus 397 The Line VS..is the Line of Versed Sines.

1733 J. Hadley in Philos. Trans. 1731–2 (Royal Soc.) 37 353 Draw b D the Sine, and b r the Sine complement of the Arch B b: BD is the versed Sine of the same.

1763 W. Emerson Method of Increments 91 Hence we have the following series of versed sines.

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

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

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

ΘΚΠ

society > travel > means of travel > route or way > other means of passage or access > [noun] > bridge > parts of > the rise of an arch

bridge arch1677

versed sine1838

spring1886

1838 Civil Engineer & Architect's Jrnl. 1 127/1 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.

1839 Civil Engineer & Architect's Jrnl. 2 191/2 Span of the arch..58 feet—the rise or versed sine being ten feet.

1879 Cassell's Techn. Educator (new ed.) 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.

单词	versed sine
释义	> as lemmas versed sine 1. versed sine. a. Trigonometry. Originally, the segment of the diameter intercepted between the foot of the sine and the extremity of the arc; in modern 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.In modern use also in the contracted form versin n. ΘΚΠ the world > relative properties > number > geometry > [noun] > branches of > trigonometry > functions of > versed sine shaft1552 versed sine1581 arrow1594 sagitta1675 co-versed sine1706 verse-sine1772 suversed sine1782 versina1831 1581 W. Borough Discours Variation Cumpas v. sig. C.j^v The versed sine of the Semidiurnall arke. 1652 S. Foster Posthuma Descr. sig. A3^v A large Scale of Versed-Sines. 1690 W. Leybourn Cursus mathematicus 397 The Line VS..is the Line of Versed Sines. 1733 J. Hadley in Philos. Trans. 1731–2 (Royal Soc.) 37 353 Draw b D the Sine, and b r the Sine complement of the Arch B b: BD is the versed Sine of the same. 1763 W. Emerson Method of Increments 91 Hence we have the following series of versed sines. 1828 J. M. Spearman Brit. Gunner 319 The arcs being similar, the versed sines are proportional to the arcs or to their radii. 1853 H. Douglas Ess. Mil. Bridges (ed. 3) ii. 43 A segment of a sphere whose radius is r, the sagitta, or versed sine, being d. b. Bridge-building. The rise of an arch. ΘΚΠ society > travel > means of travel > route or way > other means of passage or access > [noun] > bridge > parts of > the rise of an arch bridge arch1677 versed sine1838 spring1886 1838 Civil Engineer & Architect's Jrnl. 1 127/1 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. 1839 Civil Engineer & Architect's Jrnl. 2 191/2 Span of the arch..58 feet—the rise or versed sine being ten feet. 1879 Cassell's Techn. Educator (new ed.) 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. extracted from versedadj.¹ < as lemmas
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