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Webster 1913 Edition


Sine

Sine

,
Noun.
[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
jība
sine, from Skr.
jīva
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.

Si′ne

,
p
rep.
[L.]
Without.

Webster 1828 Edition


Sine

SINE

,
Noun.
[L. sinus.] In geometry, the right sine of an arch or arc, is a line drawn from one end of that arch perpendicular to the radius drawn through the other end, and is always equal to half the chord of double the arch.