sine

[sahyn] /saɪn/
noun
1.
Trigonometry.
  1. (in a right triangle) the ratio of the side opposite a given acute angle to the hypotenuse.
  2. (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 − (x 3 /3!) + (x 5 /5!) − + …, where ! denotes factorial.
Compare cosine (def 2), factorial (def 1).
Origin
1585-95; < Neo-Latin, Latin sinus a curve, fold, pocket, translation of Arabic jayb literally, pocket, by folk etymology < Sanskrit jiyā, jyā chord of an arc, literally, bowstring

nil sine numine

[neel sin-e noo-mi-ne; English nil sin-ee noo-mi-nee, nyoo-] /nil ˈsɪn ɛ ˈnu mɪ nɛ; English nɪl ˈsɪn i ˈnu mɪ ni, ˈnyu-/
Latin.
1.
nothing without the divine will: motto of Colorado.

causa sine qua non

[kou-sah si-ne kwah nohn; English kaw-zuh sahy-nee kwey non, kaw-zuh sin-ey kwah nohn] /ˈkaʊ sɑ ˈsɪ nɛ kwɑ ˈnoʊn; English ˈkɔ zə ˈsaɪ ni kweɪ ˈnɒn, ˈkɔ zə ˈsɪn eɪ kwɑ ˈnoʊn/
noun, Latin.
1.
an indispensable condition; requisite.
Origin
literally, a cause without which not
Examples from the web for sine
  • sine many are on the subject of biting, im hoping that someone may have a suggestion.
  • For junior faculty members, complaining to each other is a sine qua non of the tenure track.
  • Keeping one's money actually could be said to be the sine qua non for life, liberty, and happiness.
  • History has already repeated itself sine then, in spite of worldwide knowledge of it.
  • Nevertheless, in a free society the right to pursue one's own notions of happiness is a sine qua non.
  • Military service, once deemed a sine qua non for presidential candidates, is also no longer discussed much.
  • Such a capacity is a sine qua non of all serious art.
  • The white and yellow sine waves in the sculpture are actually fluorescent lights.
  • The power of heat input during the day depends on local albedo and the sine of the angle of the incident solar irradiance.
  • Here is a plot of the sine of theta as a function of theta.
British Dictionary definitions for sine

sine1

/saɪn/
noun (of an angle)
1.
  1. a trigonometric function that in a right-angled triangle is the ratio of the length of the opposite side to that of the hypotenuse
  2. a function that in a circle centred at the origin of a Cartesian coordinate system is the ratio of the ordinate of a point on the circumference to the radius of the circle
sin
Word Origin
C16: from Latin sinus a bend; in New Latin, sinus was mistaken as a translation of Arabic jiba sine (from Sanskrit jīva, literally: bowstring) because of confusion with Arabic jaib curve

sine2

/ˈsaɪnɪ/
preposition
1.
(esp in Latin phrases or legal terms) lacking; without
Word Origin and History for sine
n.

trigonometric function, 1590s (in Thomas Fale's "Horologiographia, the Art of Dialling"), from Latin sinus "fold in a garment, bend, curve, bosom" (see sinus). Used mid-12c. by Gherardo of Cremona in Medieval Latin translation of Arabic geometrical text to render Arabic jiba "chord of an arc, sine" (from Sanskrit jya "bowstring"), which he confused with jaib "bundle, bosom, fold in a garment."

sine in Science
sine
  (sīn)   

  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.


Related Abbreviations for sine

SINE

sign, that is, operator's personal initials (shortwave transmission)