Poncelet's closure theorem
In geometry, Poncelet's porism, sometimes referred to as Poncelet's closure theorem, states that whenever a polygon is inscribed in one conic section and circumscribes another one, the polygon must be part of an infinite family of polygons that are all inscribed in and circumscribe the same two conics. It is named after French engineer and mathematician Jean-Victor Poncelet, who wrote about it in 1822; however, the triangular case was discovered significantly earlier, in 1746 by William Chapple.
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Bicentric polygonBicentric quadrilateralCircumscribed circleEuler's theorem in geometryFrans OortGeometric Exercises in Paper FoldingGlossary of classical algebraic geometryHartshorne ellipseHenk J. M. BosList of circle topicsList of theoremsPamela GorkinPentagram mapPoncelet's porismPoncelet (disambiguation)Poncelet conditionPoncelet porismPorismSteiner chainWilliam Chapple (surveyor)
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Poncelet's closure theorem
In geometry, Poncelet's porism, sometimes referred to as Poncelet's closure theorem, states that whenever a polygon is inscribed in one conic section and circumscribes another one, the polygon must be part of an infinite family of polygons that are all inscribed in and circumscribe the same two conics. It is named after French engineer and mathematician Jean-Victor Poncelet, who wrote about it in 1822; however, the triangular case was discovered significantly earlier, in 1746 by William Chapple.
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Der Schließungssatz von Poncel ...... eßungsprobleme genannt werden.
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En geometría, el gran teorema ...... esa línea con la otra cónica.
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En géométrie, le grand théorèm ...... ient deux sommets consécutifs.
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Het sluitingstheorema van Ponc ...... hreven en omgeschreven cirkel.
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In geometry, Poncelet's porism ...... hat line with the other conic.
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Поризм Понселе — классическая ...... н в честь Жан-Виктора Понселе.
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Der Schließungssatz von Poncel ...... eßungsprobleme genannt werden.
@de
En geometría, el gran teorema ...... francés Jean-Victor Poncelet.
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En géométrie, le grand théorèm ...... u résultat sur les coniques ».
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Het sluitingstheorema van Ponc ...... he veelhoeken genoemd van en .
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In geometry, Poncelet's porism ...... r, in 1746 by William Chapple.
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Поризм Понселе — классическая ...... н в честь Жан-Виктора Понселе.
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Gran teorema de Poncelet
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Grand théorème de Poncelet
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Poncelet's closure theorem
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Schließungssatz von Poncelet
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Sluitingstheorema van Poncelet
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Поризм Понселе
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