The constant chord theorem is a statement in elementary geometry about a property of certain chords in two intersecting circles. The circles k 1 {\displaystyle...

(geometry) Constant chord theorem (geometry) Conway circle theorem (Euclidean plane geometry) Crossbar theorem (Euclidean plane geometry) Dandelin's theorem (solid...

mean value theorem says that given any chord of a smooth curve, we can find a point on the curve lying between the end-points of the chord such that the...

intersecting secants theorem and chord theorem the power of a point plays the role of an invariant: Intersecting secants theorem: For a point P {\displaystyle...

the circle at A and if AQ is a chord of the circle, then ∠DAQ = ⁠1/2⁠arc(AQ). The chord theorem states that if two chords, CD and EB, intersect at A, then...

a chord. More formally, a circular segment is a plane region bounded by a circular arc (of less than π radians by convention) and the circular chord connecting...

angles, respectively. Theorems on the lengths of chords are applications of the law of sines. And Archimedes' theorem on broken chords is equivalent to formulas...

Pythagorean theorem. Mamikon's method, however, envisions an alternate construction of the ring: first the inner circle alone is drawn, then a constant-length...

}{8}}}-S(1)<\infty ,} where S(x) is the Fresnel integral. Via the convergence theorem along chords, the Borel integral converges for all z ≤ 2 (the integral diverges...

circle's center bisecting a chord is perpendicular to the chord. If the intersection of any two perpendicular chords divides one chord into lengths a and b and...

inequality and Barbier's theorem, the circle has the maximum area of any curve of given constant width. The Blaschke–Lebesgue theorem says that the Reuleaux...

a uniform fluid at a constant speed so large that the flow seen in the body-fixed frame is steady and unseparated. The theorem relates the lift generated...

{CM} }}=2r}  (PMCK is a parallelogram). Using the intersecting chords theorem on the chords BC and DE, we get B M ¯ ⋅ C M ¯ = D M ¯ ⋅ E M ¯ . {\displaystyle...

maximal planar graphs to a theorem of Hassler Whitney. Seymour, P. D.; Weaver, R. W. (1984), "A generalization of chordal graphs", Journal of Graph Theory...

Algebraic curve Arc Asymptote Asymptotic curve Barbier's theorem Bézier curve Bézout's theorem Birch and Swinnerton-Dyer conjecture Bitangent Bitangents...

koti-jyā and utkrama-jyā; sine and chord are closely related in a circle of unit diameter, see Ptolemy’s Theorem). This was transliterated in Arabic...

such as in feet. The relationship of versine, chord and radius is derived from the Pythagorean theorem. Based on the diagram on the right: O C = O A 2...

\dots ,4} , Descartes' theorem says: If one of the four curvatures is considered to be a variable, and the rest to be constants, this is a quadratic equation...

the class if a tree-decomposition with constant bounded treewidth is provided. Specifically, Courcelle's theorem states that if a graph problem can be...

while still an undergraduate, in which he introduced the Lévy–Steinitz theorem. His teacher and advisor was Jacques Hadamard. After graduation, he spent...

Beevers–Lipson strip Constant-Q transform Discrete Fourier transform DFT matrix Fast Fourier transform Fourier integral operator Fourier inversion theorem Fourier...

circle's interior. Tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs...

{\displaystyle \phi _{m}} less than π / 2 {\displaystyle \pi /2} about its chord. Note that ϕ {\displaystyle \phi } denotes latitude, as used in geophysics...

In algebraic geometry, Cramer's theorem on algebraic curves gives the necessary and sufficient number of points in the real plane falling on an algebraic...

In mathematics, the Dottie number or the cosine constant is a constant that is the unique real root of the equation cos ⁡ x = x {\displaystyle \cos x=x}...

editor E (programming language), an object-oriented programming language E (theorem prover), a modern, high performance prover for first-order logic e (verification...

geometry, two diameters of a conic section are said to be conjugate if each chord parallel to one diameter is bisected by the other diameter. For example...

concyclic, with different circles; see Nine-point circle and Lester's theorem. The radius of the circle on which lie a set of points is, by definition...

direction of motion. Airfoils use the square of the chord length as the reference area; since airfoil chords are usually defined with a length of 1, the reference...

strong perfect graph theorem as being the graphs with no odd holes or odd anti-holes. The hole-free graphs are the same as the chordal graphs. homomorphic...