In the branch of mathematics known as Euclidean geometry, the Poncelet–Steiner theorem is one of several results concerning compass and straightedge constructions...
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Retrieved 13 September 2016. Weisstein, Eric W. "Poncelet-Steiner Theorem". MathWorld. Weisstein, Eric W. "Poncelet's Porism." From MathWorld—A Wolfram Web Resource...
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Steiner system Steiner surface Steiner conic Steiner's conic problem Steiner's problem Steiner tree Steiner chain Poncelet–Steiner theorem Parallel axes...
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axis theorem Steiner tree Poncelet–Steiner theorem Steiner surface Steiner system, a type of block design Steiner point (disambiguation) Steiner House...
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Sonnier Poncelet Prize, a mathematics prize by the French Academy of Sciences Poncelet's closure theorem, mathematics Poncelet–Steiner theorem, mathematics...
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(Euclidean geometry) Poncelet's closure theorem (conics) Poncelet–Steiner theorem (geometry) Ptolemy's theorem (geometry) Pythagorean theorem (geometry) Reuschle's...
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must be provided. This statement, now known as the Poncelet–Steiner theorem, was proved by Jakob Steiner eleven years later. A proof later provided in 1904...
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In geometry, Poncelet's closure theorem, also known as Poncelet's porism, states that whenever a polygon is inscribed in one conic section and circumscribes...
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significantly less power, unless an auxiliary circle is provided (the Poncelet–Steiner theorem). These chapters also discuss the restriction of compasses to dividers...
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constructed with a ruler can be constructed with a compass; but (by the Poncelet–Steiner theorem) given a single circle and its center, they can be constructed...
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Star polygon Pick's theorem Shape dissection Bolyai–Gerwien theorem Poncelet–Steiner theorem Polygon triangulation Pons asinorum Quadrilateral Bicentric...
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circle packing theorem representation of a bipyramid. Annular Steiner chains n = 3 n = 6 n = 9 n = 12 n = 20 The simplest type of Steiner chain is a closed...
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theorems about circles can be considered as special cases of these general theorems. During the early 19th century the work of Jean-Victor Poncelet,...
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Mohr–Mascheroni theorem – Constructions performed by a compass and straightedge can be performed by a compass alone Poncelet–Steiner theorem – Universality...
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Rome in 1880 Member of the German Academy of Sciences Leopoldina in 1880 Poncelet Prize in 1883. Honorary doctorate from the University of Würzburg in 1882...
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Louis Poinsot (1777–1859) Siméon Denis Poisson (1781–1840) Jean-Victor Poncelet (1788–1867) – projective geometry Augustin-Louis Cauchy (1789–1857) August...
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Différentielles Linéaires aux Formes Intégrales. He received the Prix Poncelet in 1883 and the Prix Petit d'Ormoy in 1885. He was elected to the Académie...
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of conics. Look up porism in Wiktionary, the free dictionary. Poncelet's porism Steiner's porism Eves, Howard W. (1995). College geometry. p. 138. ISBN 0867204753...
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articles by many distinguished mathematicians, including Poncelet, Servois, Bobillier, Steiner, Plücker, Chasles, Brianchon, Dupin, Lamé, even Galois....
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Newton, Bernoulli, Euler, Gauss, Gergonne, Steiner and Poncelet. Pappus's hexagon theorem Pappus's centroid theorem Pappus chain Pappus configuration Pappus...
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Problem of Apollonius (section Mutually tangent given circles: Soddy's circles and Descartes' theorem)
Poncelet (1811) and of Joseph Diaz Gergonne (1814). Whereas Poncelet's proof relies on homothetic centers of circles and the power of a point theorem...
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coordinates are trilinear coordinates: Steiner point: the non-vertex point of intersection of the circumcircle with the Steiner ellipse. b c b 2 − c 2 : c a c...
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Radical axis (redirect from Radical axis theorem)
mathematician M. Chasles as axe radical. J.V. Poncelet used chorde ideale. J. Plücker introduced the term Chordale. J. Steiner called the radical axis line of equal...
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Incircle and excircles (section Euler's theorem)
p. 187. Emelyanov, Lev, and Emelyanova, Tatiana. "Euler's formula and Poncelet's porism", Forum Geometricorum 1, 2001: pp. 137–140. Josefsson (2011, See...
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seminar with Pierre Lelong and Pierre Dolbeault. In 1978 Skoda received the Poncelet Prize and as an invited speaker at the International Congress of Mathematicians...
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2018. Gallier, Jean; Xu, Dianna (2013). A Guide to the Classification Theorem for Compact Surfaces. Springer Science & Business Media. p. 156. ISBN 9783642343643...
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ISBN 978-0-88385-142-5 Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other, by Ulrich Daepp, Pamela...
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stationary point A cusp. See Salmon (1879, p.23). Steiner Steinerian 1. Named after Jakob Steiner 2. A Steinerian is the locus of the singular points...
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Venetz, Ignatz 454 Pelletier, Pierre Joseph 455 Fresnel, Augustin Jean 456 Poncelet, Jean Victor 457 Gmelin, Leopold 458 Boucher de Crèvecœur Deperthes, Jacques...
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