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On this page about Secant line:

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Encyclopedia: Secant line

A secant line of a curve is a line that intersects two or more points on the curve. The word secant comes from the Latin secare, for to cut.

Translations

How to say "Secant line" in other languages:

	(German)	Sekante
	(Spanish)	Secante
	(French)	Droite sécante
	(Italian)	Secante (geometria)

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Secant method

roots of secant lines to better approximate a root of a function f . The Method For each positive integer n , let x n+1 be a root of a secant line with points and slope of In point-slope form, the secant line can be defined as For f (x n+1 ), we have which, when solved for the root x n+1...

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False position method

algorithm that combines features from the bisection method and the secant method. The Method Let r be a root of a secant line with points and slope of In point-slope form, the secant line can be..., the root of the secant line may be a good enough approximation of the root of the function f...

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Secant

In trigonometry, a secant is a particular trigonometric function, the reciprocal of the cosine function: sec(θ) = 1/cos(θ). A secant line of a curve is that line which intersects two (or more... secant line, through P and Q , is given by: The righthand side, of the above equation, is a variation...

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Slope

points on a curve) is the slope of a secant line to the curve. With a line, the secant between any two... formula closer together so that Δ y and Δ x decrease, the secant line more closely approximates a tangent line to the curve. The secant line is only equivalent to the tangent line when Δ y and Δ x...

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Inscribed angle

In geometry, an inscribed angle is formed when two secant lines of a circle (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle. Typically it... A . Draw line VO and extended past O so that it intersects the circle at point B which is...

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Derivative

Derivatives are defined by taking the limit of the slope of secant lines as they approach a... the tangent line by secant lines. When we take the limit of the slopes of the nearby secant lines, we will get the slope of the tangent line. To find the slopes of the nearby secant lines, choose a...

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Archimedes

"base" is any secant line, not necessarily orthogonal to the parabola's axis; "the same base" means... the sum of the areas of two triangles whose bases are the two smaller secant lines in the illustration... of a parabola (the figure delimited by a parabola and a secant line not necessarily perpendicular...

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Archimedes Palimpsest

the area of a region bounded by a parabola and one of its secant lines. Contrary to historically...

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How Archimedes used infinitesimals

. The points A and B are on the curve. The line AC is parallel to the axis of the parabola. The line BC is tangent to the parabola. The first proposition states: The area of the triangle ABC is exactly three times the area bounded by the parabola and the secant line AB . Proof : Let D be the...

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Tangent

slope as a tangent passing through P . The slope of a tangent line can be approximated by a secant... geometry, and one in trigonometry. Geometry In plane geometry, a straight line is tangent to a curve, at some point, if both line and curve pass through the point with the same direction; such a line is...

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