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# secant

[ **see**-kant, -k*uh*nt ]

## noun

*Geometry.*an intersecting line, especially one intersecting a curve at two or more points.*Trigonometry.*- (in a right triangle) the ratio of the hypotenuse to the side adjacent to a given angle.
- (originally) a line from the center of a circle through one extremity of an arc to the tangent from the other extremity.
- the ratio of the length of this line to that of the radius of the circle; the reciprocal of the cosine of a given angle or arc. : sec

## adjective

- cutting or intersecting, as one line or surface in relation to another.

secant

/ ˈsiːkənt /

## noun

- (of an angle) a trigonometric function that in a right-angled triangle is the ratio of the length of the hypotenuse to that of the adjacent side; the reciprocal of cosine sec
- a line that intersects a curve

secant

/ sē**′**kănt′ /

- A straight line or ray that intersects a curve, especially a circle, at two or more points.
- The ratio of the length of the hypotenuse in a right triangle to the side adjacent to an acute angle. The secant is the inverse of the cosine.
- The reciprocal of the abscissa 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. - A function of a number
*x,*equal to the secant of an angle whose measure in radians is equal to*x.*

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## Derived Forms

**ˈsecantly**, adverb

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## Other Words From

**secant·ly**adverb

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## Word History and Origins

Origin of secant^{1}

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## Word History and Origins

Origin of secant^{1}

C16: from Latin

*secāre*to cut## Discover More

## Example Sentences

On any secant of an hyperbola the segments between the curve and the asymptotes are equal.

From Project Gutenberg

The fraction Δy/Δx is the trigonometrical tangent of the angle which the secant PP′ makes with the axis of x.

From Project Gutenberg

If the curve has a tangent at P the secant PP′ approaches a limiting position (see 33 below).

From Project Gutenberg

There is no necessary connexion between a conical projection and any touching or secant cone.

From Project Gutenberg

I say they are equall in the alterne angles of the secant and touch line oey, and oeu.

From Project Gutenberg

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