Poncelet-type problems, an elementary approach
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Publication:1570887
DOI10.1007/s000170050071zbMath0957.51006OpenAlexW2168741415MaRDI QIDQ1570887
Publication date: 25 March 2001
Published in: Elemente der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s000170050071
surveyPoncelet theoremclosure theoremsperiodic recursive geometric processpolygons having both inscribed and circumscribed circlesPonzag theoremszig-zag process
Related Items (4)
Metric properties of Poncelet polygonal lines ⋮ Generalized closing theorems ⋮ Universal measure for Poncelet-type theorems ⋮ Some relations concerning triangles and bicentric quadrilaterals in connection with Poncelet's closure theorem when conics are circles not one inside of the other
Cites Work
- Ein Schliessungssatz der Elementargeometrie. (A closure theorem in elementary geometry)
- Variations on a theorem of Abel
- A Poncelet theorem in space
- Eine besondere Art gleichseitiger Sechsecke
- On Cayley's explicit solution to Poncelet's porism
- Modular curves and Poncelet polygons
- Poncelet theorems
- A Theorem About Zig-Zags Between Two Circles
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