Secant line information

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...

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,...

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...

the tangent line at the point p = (a, f(a)), consider another nearby point q = (a + h, f(a + h)) on the curve. The slope of the secant line passing through...

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...

The external secant function (exsecant, symbolized exsec) is a trigonometric function defined in terms of the secant function: exsec ⁡ θ = sec ⁡ θ − 1...

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...

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...

first-order divided difference). The slope of this secant line differs from the slope of the tangent line by an amount that is approximately proportional...

b)} such that the tangent at c {\displaystyle c} is parallel to the secant line through the endpoints ( a , f ( a ) ) {\displaystyle {\big (}a,f(a){\big...

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...

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...

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 +...

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

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...

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:...

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

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...

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))....

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...

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...

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...

the circles have two points in common, the radical axis is the common secant line of the circles. If point P is outside the circles, P has equal tangential...

product curve by drawing secants from the origin that intersect (cut) the total product curve. The slope of the secant line equals the average product...