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Topic: Jean-Victor Poncelet


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In the News (Wed 30 Dec 09)

  
 Jean-Victor Poncelet --  Encyclopædia Britannica
The cultivators of these new fields, such as Jean-Victor Poncelet (1788–1867) and his self-taught disciple...
in geometry, mathematical statement discovered by the French mathematician Girard Desargues in 1639 that motivated the development, in the first quarter of the 19th century, of projective geometry by another French mathematician, Jean-Victor Poncelet.
More results on "Jean-Victor Poncelet" when you join.
www.britannica.com /eb/article-9060765   (758 words)

  
 JEAN VICTOR PONCELET - LoveToKnow Article on JEAN VICTOR PONCELET
JEAN VICTOR PONCELET - LoveToKnow Article on JEAN VICTOR PONCELET
This work entitles Poncelet to rank as one of the greatest,of those who, took part in the~ development of the modern geon try of which G. Monge was the founder.
See J. Bertrand, Eloge historique de Poncelet (Paris, 1875);
www.1911encyclopedia.org /P/PO/PONCELET_JEAN_VICTOR.htm   (332 words)

  
 Science Math Mathematicians Polish Yellow Pages - Polska - Poland - Polen
Poncelet - Jean Victor Poncelet (1788-1867)- His development of the pole and polar lines associated with conics led to the principle of duality, applied mechanics to improve turbines and waterwheels more than doubling the efficiency of the waterwheel.
Argand - Jean Robert Argand (1768-1822)- Accountant, amateur mathematician, famed for his geometrical interpretation of the complex numbers where i is interpreted as a rotation through 90, gave concept of the modulus of a complex number.
Poincare - Henri Poincare (1854-1912)- ounded the modern qualitative theory of dynamical systems, created topology, The Problem of Three Bodies and the Equations of Equilibrium, the first signs of Chaos
www.yp.pl /ca/26921/Science/Math/Mathematicians   (2154 words)

  
 Poncelet-Steiner theorem - Wikipedia, the free encyclopedia
The result was conjectured by Jean Victor Poncelet in 1822, and proven by Jakob Steiner in 1833.
This result is the best possible: a straightedge alone, without being given a circle, is not sufficient.
Jacob Steiner's theorem (It is impossible to find the center of a given circle with the straightedge alone)
en.wikipedia.org /wiki/Poncelet-Steiner_theorem   (115 words)

  
 The Hutchinson Dictionary of Scientific Biography: Poncelet, Jean-Victor (1788-1867)@ HighBeam Research
The Hutchinson Dictionary of Scientific Biography: Poncelet, Jean-Victor (1788-1867)@ HighBeam Research
Poncelet was born in Metz on 1 July 1788, the illegitimate (although later recognized) son of Claude Poncelet, a rich landowner and an advocat at the Parlementof Metz.
He was among the leaders of those who initiated and developed the concept of duality.
www.highbeam.com /library/doc0.asp?DOCID=1P1:28909736&refid=ip_encyclopedia_hf   (211 words)

  
 Poncelet, Jean Victor (1788-1867)
With Brianchon, he proved Feuerbach's theorem on the nine-point circle in 1820-21, and also suggested the theorem proved by Steiner and now called the Poncelot-Steiner theorem that Euclidean constructions can be done with a straightedge alone.
As a soldier in Napoleon's army, he was captured and imprisoned in Russia.
www.daviddarling.info /encyclopedia/P/Poncelet.html   (177 words)

  
 Poncelet-Steiner theorem - Encyclopedia Glossary Meaning Explanation Poncelet-Steiner theorem
The result was conjectured by Jean Victor Poncelet in 1822, and proven by Jakob Steiner in 1833.
In geometry, the Poncelet-Steiner theorem on ruler-and-compass constructions states that whatever can be constructed by straightedge with compass, can be constructed by straightedge alone, if you are given a single circle and the location of its centre.
The orginal Poncelet-Steiner theorem article can be editet
www.encyclopedia-glossary.com /en/Poncelet-Steiner-theorem.html   (166 words)

  
 Lesanciensdelecole.com.fr -découvrir les amis en France
Lp jean victor poncelet, 7 rue paul valery, metz
Ecole maternelle jeanne d'arc, rue de l'eglise, morhange
Ensemble scolaire jean xxiii, 10 rue monseigneur heintz (1 pupils)
lesanciensdelecole.com.fr /find.php?province=Moselle&schtype=-tous-   (166 words)

  
 Nine point circle -- Facts, Info, and Encyclopedia article
At a slightly earlier date, (additional info and facts about Charles Brianchon) Charles Brianchon and (additional info and facts about Jean-Victor Poncelet) Jean-Victor Poncelet had stated and proven the same theorem.
Soon after Feuerbach, mathematician (additional info and facts about Olry Terquem) Olry Terquem also proved what Feuerbach did and added the three points that are the midpoints of the altitude between the vertices and the orthocenter.
www.absoluteastronomy.com /encyclopedia/n/ni/nine_point_circle.htm   (499 words)

  
 Poncelet-Steiner theorem - Wikipedia, the free encyclopedia
The result was conjectured by Jean Victor Poncelet in 1822, and proven by Jakob Steiner in 1833.
In geometry, the Poncelet-Steiner theorem on ruler-and-compass constructions states that whatever can be constructed by straightedge with compass, can be constructed by straightedge alone, if you are given a single circle and the location of its centre.
Jacob Steiner's theorem (It is impossible to find the center of a given circle with the straightedge alone)
en.wikipedia.org /wiki/Poncelet-Steiner_theorem   (115 words)

  
 MavicaNET - Mathematicians: Personalia
A short online paper about Étienne Bézout (1730 - 1783), Jean Trembley (1749 - 1811), Antoine Arbogast (1759- 1803), Lazare Nicholas Marguerite Carnot (1753 - 1823), Jean Victor Poncelet (1788 - 1867).
www.mavicanet.com /lite/hun/8916_1.html   (283 words)

  
 Giuseppe Peano
Newton Isaac (1642-1727) Noether Max (1844-1921) Noether Emmy (1882-1935) P Painlevé Paul (1863-1933) Pascal Blaise (1623-1662) Peano Giuseppe (1858-1932) Picard Emile (1856-1941) Poincaré Henri (1854-1912) Poisson Denis (1781-1840) Poncelet Jean-Victor (1788-1867) Pythagore (600 av J-C...
giuseppe-peano.fr.exsugo.org   (283 words)

  
 Nine Point Circle Investigation
It was first proven by French mathematicians Jean-Victor Poncelet and Charles Brianchon in 1821 and further explored by Karl Willhelm Feuerbach who discovered many of its properties.
In order to understand this exploration, you need to be familiar with the four concurrency points in a triangle and the Euler Line.
Every triangle has a nine point circle which is connected to both it's inscribed circle, circumscribed circle, and Euler Line.
www.geom.uiuc.edu /~demo5337/Group2/nineptcircle.html   (890 words)

  
 Nine point circle - Wikipedia, the free encyclopedia
1, points D, E, F, G, H, and I.) (At a slightly earlier date, Charles Brianchon and Jean-Victor Poncelet had stated and proven the same theorem.) But soon after Feuerbach, mathematician Olry Terquem himself proved the existence of the circle.
en.wikipedia.org /wiki/Nine_point_circle   (610 words)

  
 Mathematics Magazine: Gaspard Monge and the Monge Point of the Tetrahedron
468] Among his students who made mathematical contributions of their own were Lazare Carnot (1753-1823), Charles Brianchon (1785-1864), Jean Victor Poncelet (17881867), Charles Dupin (1784-1873), J. Meusnier (1754-1793), E. Malus (17751812), and O. Rodrigues (1794-1851).
www.24hourscholar.com /p/articles/mi_qa3789/is_200306/ai_n9251623   (1569 words)

  
 nine-point-circle
A related theorem is due to Jean-Victor Poncelet (1788-1867) and Charles J. Brianchon (1785-1864).
The circumcenter of the triangle is the point where the three perpendicular bisectors of the sides meet.
This theorem is also sometime attributed to Karl Wilhelm Feurbach (1800-1834).
www.york.cuny.edu /~malk/mycourses/math244/nine-point-circle.html   (291 words)

  
 Engineering Elasticity
This study included results from Jean Victor Poncelet, Thomas Tregold, Antoin Masson, Felix Savart among others.
Linear plots of stress versus strain begin to be widely used.
Proposes that elastic properties of a body could be inferred from the frequency of vibration.
www.eng.utah.edu /~me6500/historyExpt.html   (387 words)

  
 History of water turbine technology (from turbine) --  Encyclopædia Britannica
In 1826 Jean-Victor Poncelet of France proposed the idea of an inward-flowing radial turbine, the direct precursor of the modern water turbine.
The term also is conventionally used to describe a complete internal-combustion engine consisting of at least a compressor, a combustion chamber, and a turbine.
Monet's giant paintings of water lilies are on display in a circular room at the Orangerie in Paris.
www.britannica.com /eb/article-45676   (903 words)

  
 AllRefer.com - Jean Victor Poncelet (Mathematics, Biography) - Encyclopedia
AllRefer.com - Jean Victor Poncelet (Mathematics, Biography) - Encyclopedia
You are here : AllRefer.com > Reference > Encyclopedia > Mathematics, Biographies > Jean Victor Poncelet
Topics that might be of interest to you:
reference.allrefer.com /encyclopedia/P/Poncelet.html   (188 words)

  
 PS Wiki Encyclopedia
1, points D, E, F, G, H, and I.) (At a slightly earlier date, Charles Brianchon and Jean-Victor Poncelet had stated and proven the same theorem.) But soon after Feuerbach, mathematician Olry Terquem himself proved the existence of the circle.
In 1822 Karl Feuerbach discovered that any triangle's nine point circle is externally tangent to that triangle's three excircles and internally tangent to its incircle.
Although he is accredited for its discovery, Karl Wilhelm Feuerbach did not even discover, in its entirety, the nine point circle.
70.84.119.226 /~puresear/PSWiki/index.php?title=Nine_point_circle   (188 words)

  
 Nine point circle
At a slightly earlier date, Charles Brianchon and Jean-Victor Poncelet had stated and proven the same theorem.
It is named so because it passes through nine significant points, with six of them lying on the triangle itself: the midpoints of the three sides, the feet of the altitudess, and the midpoints of the portion of altitude between the vertices and the orthocenter.
Soon after Feuerbach, mathematician Olry Terquem also proved what Feuerbach did and added the three points that are the midpoints of the altitude between the vertices and the orthocenter.
www.theezine.net /n/nine-point-circle.html   (188 words)

  
 The Real Projective Plane
The real projective plane is a central object in a classical subject known as "projective geometry", which was an outgrowth of the work of the Renaissance artists and some later geometrically-minded philosophers, especially Jean Victor Poncelet, who undertook to axiomatize its geometry.
The 3 line segments where the squares intersect are not to be regarded as edges of the tetrahemihexahedron.
It is probably the simplest example of a closed non-orientable surface; removing a disc from the real projective plane may yield another familiar non-orientable surface, the Möbius band.
homepages.wmich.edu /~drichter/rptwo.htm   (188 words)

  
 Articles - Water wheel
In the 19th century, Jean-Victor Poncelet worked on improving the efficiency of the undershot design using modern hydraulic physics for the first time.
Smeaton performed experiments in 1754 that conclusively demonstrated the superiority of the overshot system: Brindley was Smeaton's pupil, and one of his water wheels can be seen at the Brindley Mill in Leek, Staffordshire, England.
Water wheel technology was developed extensively in England in the 18th century, with notable figures including John Smeaton and James Brindley, following theoretical calculations and practical experiments in France and elsewhere.
www.x-moto.net /articles/Water_wheel   (958 words)

  
 About "Gallica"
Une sélection de documents numérisés qui montrent la diversité des collections manuscrites de la Bibliothèque nationale de France: les oeuvres de Joseph Liouville, Augustin Cauchy, Joseph Fourier, Henri Poincaré, Janos Bolyai, Nicolaï Lobachevsky, Jean-Victor Poncelet, Evariste Galois, Felix Klein, Georg Cantor, Joseph-Louis Lagrange, Niels-Henrick Abel, Edmond Nicolas Laguerre, et autres.
Linear Algebra, Modern Algebra, Analysis, Geometry, History and Biography, Number Theory, Topology
www.mathforum.org /library/view/62772.html   (958 words)

  
 The Real Projective Plane
The real projective plane is a central object in a classical subject known as "projective geometry", which was an outgrowth of the work of the Renaissance artists and some later geometrically-minded philosophers, especially Jean Victor Poncelet, who undertook to axiomatize its geometry.
It is probably the simplest example of a closed non-orientable surface; removing a disc from the real projective plane may yield another familiar non-orientable surface, the Möbius band.
Geometrically, the real projective plane is the space of lines through the origin in 3-space.
homepages.wmich.edu /~drichter/rptwo.htm   (1076 words)

  
 The Real Projective Plane
The real projective plane is a central object in a classical subject known as "projective geometry", which was an outgrowth of the work of the Renaissance artists and some later geometrically-minded philosophers, especially Jean Victor Poncelet, who undertook to axiomatize its geometry.
It is probably the simplest example of a closed non-orientable surface; removing a disc from the real projective plane may yield another familiar non-orientable surface, the Möbius band.
The real projective plane was one of the first (if not the first) post-Enlightenment examples of a non-Euclidean geometry.
homepages.wmich.edu /~drichter/rptwo.htm   (1076 words)

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