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sine
8 dictionary results for: SINE
Dictionary.com Unabridged (v 1.1) - Cite This Source - Share This
sine       [sahyn] Pronunciation Key
–noun
1.Trigonometry.
a.(in a right triangle) the ratio of the side opposite a given acute angle to the hypotenuse.
b.(of an angle) a trigonometric function equal to the ratio of the ordinate of the end point of the arc to the radius vector of this end point, the origin being at the center of the circle on which the arc lies and the initial point of the arc being on the x-axis. Abbreviation: sin
2.Geometry. (originally) a perpendicular line drawn from one extremity of an arc of a circle to the diameter that passes through its other extremity.
3.Mathematics. (of a real or complex number x) the function sin x defined by the infinite series x − (x3/3!) + (x5/5!) − + …, where ! denotes factorial. Compare cosine (def. 2), factorial (def. 1).
[Origin: 1585–95; < NL, L sinus a curve, fold, pocket, trans. of Ar jayb lit., pocket, by folk etym. < Skt jiyā, jyā chord of an arc, lit., bowstring]
Dictionary.com Unabridged (v 1.1)
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2006.
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American Heritage Dictionary - Cite This Source - Share This
sine       (sīn)  Pronunciation Key 


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n.   Abbr. sin
  1. The ordinate of the endpoint of an arc of a unit circle centered at the origin of a Cartesian coordinate system, the arc being of length x and measured counterclockwise from the point (1, 0) if x is positive or clockwise if x is negative.
  2. In a right triangle, the ratio of the length of the side opposite an acute angle to the length of the hypotenuse.


[Medieval Latin sinus (mistranslation of Arabic jayb, sine, as if jayb, fold in a garment), from Latin, curve, fold.]

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The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2006 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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Online Etymology Dictionary - Cite This Source - Share This
sine 
trigonometric function, 1593 (in Thomas Fale's "Horologiographia, the Art of Dialling"), from L. sinus "fold in a garment, bend, curve." Used by Gherardo of Cremona c.1150 in M.L. translation of Arabic geometrical text to render Arabic jiba "chord of an arc, sine" (from Skt. jiva "bowstring"), which he confused with jaib "bundle, bosom, fold in a garment."

Online Etymology Dictionary, © 2001 Douglas Harper
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WordNet - Cite This Source - Share This
sine

noun
ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle 

WordNet® 3.0, © 2006 by Princeton University.
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The American Heritage Science Dictionary - Cite This Source - Share This
sine       (sīn)  Pronunciation Key 
  1. The ratio of the length of the side opposite an acute angle in a right triangle to the length of the hypotenuse.
  2. The ordinate of the endpoint of an arc of a unit circle centered at the origin of a Cartesian coordinate system, the arc being of length x and measured counterclockwise from the point (1, 0) if x is positive or clockwise if x is negative.
  3. A function of a number x, equal to the sine of an angle whose measure in radians is equal to x.

The American Heritage® Science Dictionary
Copyright © 2002 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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Webster's Revised Unabridged Dictionary - Cite This Source - Share This

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.

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.

Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc.
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Webster's Revised Unabridged Dictionary - Cite This Source - Share This

Sine

Si"ne\, prep. [L.] Without.

Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc.
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American Heritage Abbreviations Dictionary 3rd Edition - Cite This Source - Share This
SINE
sign, that is, operator's personal initials (shortwave transmission)

The American Heritage® Abbreviations Dictionary, Third Edition
Copyright © 2005 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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