Natural tangent
Tangent Tan"gent, n. [L. tangens, -entis, p. pr. of tangere to touch; akin to Gr. ? having seized: cf. F. tangente. Cf. {Attain}, {Contaminate}, {Contingent}, {Entire}, {Tact}, {Taste}, {Tax}, v. t.] (Geom.) A tangent line curve, or surface; specifically, that portion of the straight line tangent to a curve that is between the point of tangency and a given line, the given line being, for example, the axis of abscissas, or a radius of a circle produced. See {Trigonometrical function}, under {Function}. [1913 Webster]

{Artificial tangent}, or {Logarithmic tangent}, the logarithm of the natural tangent of an arc.

{Natural tangent}, a decimal expressing the length of the tangent of an arc, the radius being reckoned unity.

{Tangent galvanometer} (Elec.), a form of galvanometer having a circular coil and a short needle, in which the tangent of the angle of deflection of the needle is proportional to the strength of the current.

{Tangent of an angle}, the natural tangent of the arc subtending or measuring the angle.

{Tangent of an arc}, a right line, as ta, touching the arc of a circle at one extremity a, and terminated by a line ct, passing from the center through the other extremity o. [1913 Webster]

The Collaborative International Dictionary of English. 2000.

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• Tangent — Tan gent, n. [L. tangens, entis, p. pr. of tangere to touch; akin to Gr. ? having seized: cf. F. tangente. Cf. {Attain}, {Contaminate}, {Contingent}, {Entire}, {Tact}, {Taste}, {Tax}, v. t.] (Geom.) A tangent line curve, or surface; specifically …   The Collaborative International Dictionary of English

• Tangent galvanometer — Tangent Tan gent, n. [L. tangens, entis, p. pr. of tangere to touch; akin to Gr. ? having seized: cf. F. tangente. Cf. {Attain}, {Contaminate}, {Contingent}, {Entire}, {Tact}, {Taste}, {Tax}, v. t.] (Geom.) A tangent line curve, or surface;… …   The Collaborative International Dictionary of English

• Tangent of an angle — Tangent Tan gent, n. [L. tangens, entis, p. pr. of tangere to touch; akin to Gr. ? having seized: cf. F. tangente. Cf. {Attain}, {Contaminate}, {Contingent}, {Entire}, {Tact}, {Taste}, {Tax}, v. t.] (Geom.) A tangent line curve, or surface;… …   The Collaborative International Dictionary of English

• Tangent of an arc — Tangent Tan gent, n. [L. tangens, entis, p. pr. of tangere to touch; akin to Gr. ? having seized: cf. F. tangente. Cf. {Attain}, {Contaminate}, {Contingent}, {Entire}, {Tact}, {Taste}, {Tax}, v. t.] (Geom.) A tangent line curve, or surface;… …   The Collaborative International Dictionary of English

• Tangent space — In mathematics, the tangent space of a manifold is a concept which facilitates the generalization of vectors from affine spaces to general manifolds, since in the latter case one cannot simply subtract two points to obtain a vector pointing from… …   Wikipedia

• Tangent bundle — In mathematics, the tangent bundle of a smooth (or differentiable) manifold M , denoted by T ( M ) or just TM , is the disjoint unionThe disjoint union assures that for any two points x 1 and x 2 of manifold M the tangent spaces T 1 and T 2 have… …   Wikipedia

• Tangent half-angle formula — In various applications of trigonometry, it is useful to rewrite the trigonometric functions (such as sine and cosine) in terms of rational functions of a new variable t . These identities are known collectively as the tangent half angle formulae …   Wikipedia

• natural — /ˈnætʃərəl / (say nachuhruhl), /ˈnætʃrəl / (say nachruhl) adjective 1. existing in or formed by nature; not artificial: a natural bridge. 2. based on the state of things in nature; constituted by nature: the natural day; the natural soil. 3. of… …   Australian English dictionary

• Artificial tangent — Tangent Tan gent, n. [L. tangens, entis, p. pr. of tangere to touch; akin to Gr. ? having seized: cf. F. tangente. Cf. {Attain}, {Contaminate}, {Contingent}, {Entire}, {Tact}, {Taste}, {Tax}, v. t.] (Geom.) A tangent line curve, or surface;… …   The Collaborative International Dictionary of English

• Logarithmic tangent — Tangent Tan gent, n. [L. tangens, entis, p. pr. of tangere to touch; akin to Gr. ? having seized: cf. F. tangente. Cf. {Attain}, {Contaminate}, {Contingent}, {Entire}, {Tact}, {Taste}, {Tax}, v. t.] (Geom.) A tangent line curve, or surface;… …   The Collaborative International Dictionary of English