Versed sine

Versed sine
Sine Sine, n. [LL. sinus a sine, L. sinus bosom, used in translating the Ar. jaib, properly, bosom, but probably read by mistake (the consonants being the same) for an original j[=i]ba sine, from Skr. j[=i]va bowstring, chord of an arc, sine.] (Trig.) (a) The length of a perpendicular drawn from one extremity of an arc of a circle to the diameter drawn through the other extremity. (b) The perpendicular itself. See {Sine of angle}, below. [1913 Webster]

{Artificial sines}, logarithms of the natural sines, or logarithmic sines.

{Curve of sines}. See {Sinusoid}.

{Natural sines}, the decimals expressing the values of the sines, the radius being unity.

{Sine of an angle}, in a circle whose radius is unity, the sine of the arc that measures the angle; in a right-angled triangle, the side opposite the given angle divided by the hypotenuse. See {Trigonometrical function}, under {Function}.

{Versed sine}, that part of the diameter between the sine and the arc. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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Look at other dictionaries:

  • Versed sine — Versed Versed, a. [L. versus turned, p. p. vertere. See 1st {Versed}.] (Math.) Turned. [1913 Webster] {Versed sine}. See under {Sine}, and Illust. of {Functions}. [1913 Webster] …   The Collaborative International Dictionary of English

  • versed sine — n. [< ModL versus < L, pp. of vertere, to turn (see VERSE) + ED] Trigonometry the number 1 minus the cosine of a given angle …   English World dictionary

  • versed sine — noun Etymology: versed from New Latin versus turned (from past participle of Latin vertere to turn) + English ed : 1 minus the cosine of an angle * * * Trig. one minus the cosine of a given angle or arc. Abbr.: vers. Also called versine, versin.… …   Useful english dictionary

  • versed sine — noun The trigonometric function 1 minus; cos(x). Abbreviations: versin, vers See Also: coversed sine, hacoversed sine, haversed sine …   Wiktionary

  • versed sine — /vɜst ˈsaɪn/ (say verst suyn) noun Trigonometry 1. the segment of the diameter from the foot of the sine to the extremity of the arc. 2. the ratio of this line to the radius. Abbrev.: vers …  

  • versed sine — Trig. one minus the cosine of a given angle or arc. Abbr.: vers. Also called versine, versin. [1590 1600] * * * …   Universalium

  • versed sine — noun 1》 Mathematics unity minus cosine. 2》 Architecture the rise of an arch of a bridge …   English new terms dictionary

  • co|versed sine — «KOH vurst», Trigonometry. the versed sine of the complement of a given angle or arc. Abbr: covers (no period) …   Useful english dictionary

  • Versed — Versed, a. [L. versus turned, p. p. vertere. See 1st {Versed}.] (Math.) Turned. [1913 Webster] {Versed sine}. See under {Sine}, and Illust. of {Functions}. [1913 Webster] …   The Collaborative International Dictionary of English

  • Sine — Sine, n. [LL. sinus a sine, L. sinus bosom, used in translating the Ar. jaib, properly, bosom, but probably read by mistake (the consonants being the same) for an original j[=i]ba sine, from Skr. j[=i]va bowstring, chord of an arc, sine.] (Trig.) …   The Collaborative International Dictionary of English

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