In geometry, a secant is a line that intersects a curve at a minimum of two distinct points. The word secant comes from the Latin word secare, meaning...

the secant method is a root-finding algorithm that uses a succession of roots of secant lines to better approximate a root of a function f. The secant method...

points, the slope of the curve may be approximated by the slope of the secant line between two nearby points. When the curve is given as the graph of an...

secant in Wiktionary, the free dictionary. Secant is a term in mathematics derived from the Latin secare ("to cut"). It may refer to: a secant line,...

called supporting lines. The geometrical idea of the tangent line as the limit of secant lines serves as the motivation for analytical methods that are...

secant line. If the two points that the secant line goes through are close together, then the secant line closely resembles the tangent line, and, as...

approximations. A simple two-point estimation is to compute the slope of a nearby secant line through the points (x, f(x)) and (x + h, f(x + h)). Choosing a small...

that the secant line of a convex function lies above the graph of the function, which is Jensen's inequality for two points: the secant line consists...

with secant line at point where λ = λ Y {\displaystyle \lambda =\lambda _{Y}} . After this value, the slope becomes smaller than the secant line where...

a secant line. The perpendicular line passing through the chord's midpoint is called sagitta (Latin for "arrow"). More generally, a chord is a line segment...

and the intersection points S 1 , S 2 {\displaystyle S_{1},S_{2}} of a secant line g {\displaystyle g} with c {\displaystyle c} the following statement...

the secant line and the quartic below the secant line equals the area of the region between the secant line and the quartic above the secant line. One...

intersection of the secant line P 2 P 3 {\displaystyle P_{2}P_{3}} with the line x = x 1 {\displaystyle x=x_{1}} (see picture). Then the secant line P 3 P 4 {\displaystyle...

the slope of the secant line from 0 to h {\displaystyle h} is one; if h {\displaystyle h} is negative, then the slope of the secant line from 0 {\displaystyle...

The external secant function (abbreviated exsecant, symbolized exsec) is a trigonometric function defined in terms of the secant function: exsec ⁡ θ =...

one gets for φ = θ {\displaystyle \varphi =\theta } the same line. Hence any secant line of the circle, defined above, is a tangent of the cardioid, too:...

line t to a circle C intersects the circle at a single point T. For comparison, secant lines intersect a circle at two points, whereas another line may...

a circle determines a unique line called the secant line, and as the two points move around the circle, the secant line varies continuously. However,...

Euclidean geometry, the tangent-secant theorem describes the relation of line segments created by a secant and a tangent line with the associated circle....

centre of the circle to which their arc belongs. Secant: an extended chord, a coplanar straight line, intersecting a circle in two points. Semicircle:...

called a difference quotient. A line through two points on a curve is called a secant line, so m is the slope of the secant line between (a, f(a)) and (a +...

exterior line, a tangent line or a secant line is mapped by the involution σ P {\displaystyle \sigma _{P}} on an exterior, tangent and secant line, respectively...

interval. Geometrically, this difference quotient measures the slope of the secant line passing through the points with coordinates (a, f(a)) and (b, f(b))....

bitangent lines (Rohnert 1986). A bitangent differs from a secant line in that a secant line may cross the curve at the two points it intersects it. One...

tangent functions. Their reciprocals are respectively the cosecant, the secant, and the cotangent functions, which are less used. Each of these six trigonometric...

In mathematics, a real-valued function is called convex if the line segment between any two distinct points on the graph of the function lies above or...

of as the slope of the tangent line to the curve at any point, and the average velocity as the slope of the secant line between two points with t coordinates...

x)-f(x)}{\Delta x}}.} The last term is the difference quotient (the slope of the secant line), and taking the limit yields the derivative. Condition numbers of common...

interval between x and y where the derivative f ′ equals the slope of the secant line: ∃ ξ ∈ ( x , y ) :   f ′ ( ξ ) = f ( x ) − f ( y ) x − y {\displaystyle...

is "cut off" from the rest of the disk by a straight line. The complete line is known as a secant, and the section inside the disk as a chord. More formally...