Curve of sines

Curve of sines
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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  • curve of sines — Sinusoid Si nus*oid, n. [Sinus + oid.] (Geom.) The curve whose ordinates are proportional to the sines of the abscissas, the equation of the curve being y = a sin x. It is also called the {curve of sines}. [1913 Webster] …   The Collaborative International Dictionary of English

  • curve of areas — a curve that is composed in its foward half of a curve of versed sines and in its after half of a trochoid and is used in distributing the displacement in the design of a ship …   Useful english dictionary

  • Artificial sines — 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.]… …   The Collaborative International Dictionary of English

  • Natural sines — 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.]… …   The Collaborative International Dictionary of English

  • Track transition curve — The red Euler spiral is an example of an easement curve between a blue straight line and a circular arc, shown in green …   Wikipedia

  • hyperbolic sines — Hyperbolic Hy per*bol ic, Hyperbolical Hy per*bol ic*al, a. [L. hyperbolicus, Gr. ?: cf. F. hyperbolique.] 1. (Math.) Belonging to the hyperbola; having the nature of the hyperbola. [1913 Webster] 2. (Rhet.) Relating to, containing, or of the… …   The Collaborative International Dictionary of English

  • Plane curve — Plane Plane, a. [L. planus: cf. F. plan. See {Plan}, a.] Without elevations or depressions; even; level; flat; lying in, or constituting, a plane; as, a plane surface. [1913 Webster] Note: In science, this word (instead of plain) is almost… …   The Collaborative International Dictionary of English

  • Trigonometrical curve — Trigonometric Trig o*no*met ric, Trigonometrical Trig o*no*met ric*al, [Cf. F. trigonom[ e]trique.] Of or pertaining to trigonometry; performed by the rules of trigonometry. [1913 Webster] {Trig o*no*met ric*al*ly}, adv. [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

  • Sine of an angle — 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.]… …   The Collaborative International Dictionary of English

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