The butterfly theorem is a classical result in Euclidean geometry, which can be stated as follows:: p. 78 Let M be the midpoint of a chord PQ of a circle...
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flag theorem (Euclidean geometry) Butterfly theorem (Euclidean geometry) CPCTC (triangle geometry) Carnot's theorem (geometry) Casey's theorem (Euclidean...
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Euclidean geometry (section Pythagorean theorem)
theory Angle bisector theorem Butterfly theorem Ceva's theorem Heron's formula Menelaus' theorem Nine-point circle Pythagorean theorem Eves 1963, p. 19. Eves...
59 KB (7,198 words) - 13:24, 17 May 2025
Butterfly theorem, Angle bisector theorem, Apollonius' theorem, British flag theorem, Ceva's theorem, Equal incircles theorem, Geometric mean theorem...
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Cyclic quadrilateral (section Ptolemy's theorem)
quadrilateral, then there exists an inscribing circle for this quadrilateral. Butterfly theorem Brahmagupta triangle Cyclic polygon Power of a point Ptolemy's table...
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through its midpoint also passes through the circle's center. The butterfly theorem states that, if M is the midpoint of a chord PQ of a circle, through...
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specifically abstract algebra, the isomorphism theorems (also known as Noether's isomorphism theorems) are theorems that describe the relationship among quotients...
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posed the previous year by Thomas Scurr (d. 1836), now dubbed the Butterfly theorem. Leaving the headmastership of Kingswood School would have given him...
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Bundle theorem Butterfly theorem – About the midpoint of a chord of a circle, through which two other chords are drawn Carnot's theorem – Theorem in Euclidean...
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Klarner ed. (Pridle, Weber & Schmidt, 1981). The Metamorphosis of the Butterfly Theorem, Mathematics Magazine, Mathematical Association of America, October...
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Zassenhaus lemma (redirect from Butterfly lemma)
specifically to give the most direct proof of the Schreier refinement theorem. The 'butterfly' becomes apparent when trying to draw the Hasse diagram of the...
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Planar graph (redirect from Theorem P)
conditions hold for v ≥ 3: Theorem 1. e ≤ 3v − 6; Theorem 2. If there are no cycles of length 3, then e ≤ 2v − 4. Theorem 3. f ≤ 2v − 4. In this sense...
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Kolmogorov–Arnold–Moser (KAM) theorem is a result in dynamical systems about the persistence of quasiperiodic motions under small perturbations. The theorem partly resolves...
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Helmholtz decomposition (redirect from Fundamental theorem of vector analysis)
In physics and mathematics, the Helmholtz decomposition theorem or the fundamental theorem of vector calculus states that certain differentiable vector...
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Heawood conjecture (now the Ringel–Youngs theorem), a mathematical problem closely linked with the four color theorem. Although born in Austria, Ringel was...
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free dictionary. Theorema is a genus of butterflies. Theorema is also Latin for "theorem", and a number of theorems are sometimes referred to by a Latin...
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In algebraic geometry, Kempe's universality theorem states that any bounded subset of an algebraic curve may be traced out by the motion of one of the...
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Friendship graph (redirect from Friendship theorem)
is isomorphic to the butterfly graph. Friendship graphs are generalized by the triangular cactus graphs. The friendship theorem of Paul Erdős, Alfréd...
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Danica McKellar (redirect from Chayes–McKellar–Winn theorem)
\mathbb {Z} ^{2}} ." Their results are termed the "Chayes–McKellar–Winn theorem". Later, when Chayes was asked to comment about the mathematical abilities...
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loops, repetition, self-similarity, fractals and self-organization. The butterfly effect, an underlying principle of chaos, describes how a small change...
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generalized Kolmogorov complexity. Instead of proving similar theorems, such as the basic invariance theorem, for each particular measure, it is possible to easily...
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solutions to a problem which would later be seen as an example of the butterfly effect. Mary Cartwright was born on 17 December 1900, in Aynho, Northamptonshire...
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Chaos theory Chaos argument Butterfly effect 0-1 test for chaos Bifurcation diagram Feigenbaum constant Sharkovskii's theorem Attractor Strange nonchaotic...
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2 "Out of Asia" 25 September 1997 (1997-09-25) 3 "Fermat's Last Theorem" 2 October 1997 (1997-10-02) 4 "The Virus That Cures" 9 October 1997 (1997-10-09)...
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Cambridge: Cambridge University Press. Theorem 18.1.2. ISBN 0-521-34187-6. Shadowing Theorem on Scholarpedia Can a butterfly in Brazil control the climate of...
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network – navigational aid drawn on maps Theorema Egregium – a geometric theorem Time zone Large-Scale Distortions in Map Projections Archived 16 February...
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Alternately, conservative systems are those to which the Poincaré recurrence theorem applies. An important special case of conservative systems are the measure-preserving...
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Limit theorems Central limit theorem Donsker's theorem Doob's martingale convergence theorems Ergodic theorem Fisher–Tippett–Gnedenko theorem Large deviation...
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theories, causality is closely related to the principle of locality. Bell's Theorem shows that conditions of "local causality" in experiments involving quantum...
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meaning the system exhibits a stochastic variant of the butterfly effect. The Goldstone theorem necessitates the long-range response, which may account...
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