• Thumbnail for Poncelet–Steiner theorem
    In the branch of mathematics known as Euclidean geometry, the PonceletSteiner theorem is one of several results concerning compass and straightedge constructions...
    94 KB (13,108 words) - 16:40, 26 May 2025
  • Thumbnail for Jean-Victor Poncelet
    Retrieved 13 September 2016. Weisstein, Eric W. "Poncelet-Steiner Theorem". MathWorld. Weisstein, Eric W. "Poncelet's Porism." From MathWorld—A Wolfram Web Resource...
    16 KB (1,602 words) - 22:59, 20 December 2024
  • Thumbnail for Jakob Steiner
    Steiner system Steiner surface Steiner conic Steiner's conic problem Steiner's problem Steiner tree Steiner chain PonceletSteiner theorem Parallel axes...
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  • axis theorem Steiner tree PonceletSteiner 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 PonceletSteiner theorem, mathematics...
    913 bytes (146 words) - 17:48, 22 November 2023
  • (Euclidean geometry) Poncelet's closure theorem (conics) PonceletSteiner theorem (geometry) Ptolemy's theorem (geometry) Pythagorean theorem (geometry) Reuschle's...
    78 KB (6,293 words) - 12:16, 2 May 2025
  • must be provided. This statement, now known as the PonceletSteiner theorem, was proved by Jakob Steiner eleven years later. A proof later provided in 1904...
    22 KB (2,920 words) - 06:29, 14 April 2025
  • Thumbnail for Poncelet's closure theorem
    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 PonceletSteiner theorem). These chapters also discuss the restriction of compasses to dividers...
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  • Thumbnail for Straightedge and compass construction
    constructed with a ruler can be constructed with a compass; but (by the PonceletSteiner theorem) given a single circle and its center, they can be constructed...
    36 KB (4,826 words) - 20:02, 2 May 2025
  • Star polygon Pick's theorem Shape dissection Bolyai–Gerwien theorem PonceletSteiner theorem Polygon triangulation Pons asinorum Quadrilateral Bicentric...
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  • Thumbnail for Steiner chain
    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,...
    38 KB (5,099 words) - 22:20, 24 May 2025
  • Thumbnail for List of circle topics
    Mohr–Mascheroni theorem – Constructions performed by a compass and straightedge can be performed by a compass alone PonceletSteiner theorem – Universality...
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  • Thumbnail for Rudolf Clausius
    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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  • Thumbnail for List of geometers
    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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  • Thumbnail for Georges Henri Halphen
    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...
    10 KB (819 words) - 13:27, 14 September 2024
  • 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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  • Thumbnail for Joseph Diez Gergonne
    articles by many distinguished mathematicians, including Poncelet, Servois, Bobillier, Steiner, Plücker, Chasles, Brianchon, Dupin, Lamé, even Galois....
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  • Thumbnail for Pappus of Alexandria
    Newton, Bernoulli, Euler, Gauss, Gergonne, Steiner and Poncelet. Pappus's hexagon theorem Pappus's centroid theorem Pappus chain Pappus configuration Pappus...
    24 KB (2,983 words) - 04:53, 4 May 2025
  • Thumbnail for Problem of Apollonius
    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...
    99 KB (12,269 words) - 22:17, 19 April 2025
  • 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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  • Thumbnail for Radical axis
    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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  • Thumbnail for Incircle and excircles
    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...
    81 KB (11,193 words) - 03:00, 26 December 2024
  • Venetz, Ignatz 454 Pelletier, Pierre Joseph 455 Fresnel, Augustin Jean 456 Poncelet, Jean Victor 457 Gmelin, Leopold 458 Boucher de Crèvecœur Deperthes, Jacques...
    99 KB (734 words) - 12:34, 23 January 2025