Geodesic
New Properties of Harmonic Polygons
Journal for geometry and graphics, Tome 26 (2022) no. 2, pp. 217-236 Cet article a éte moissonné depuis la source Heldermann Verlag

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Via simulation, we revisit the Poncelet family of �harmonic polygons�, much studied in the 2nd half of the XIX century by famous geometers such as Simmons, Tarry, Neuberg, Casey, and others. We review its (inversive and projective) construction, identify some new conservations, and contrast it, via its invariants, to several other recently studied Poncelet families.
Classification : 51M04, 51N20, 51N35, 68T20
Mots-clés : Harmonic polygon, Poncelet, Brocard, invariants, projection, homothetic, inversion, symmetric polynomials 
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     title = {New {Properties} of {Harmonic} {Polygons}},
     journal = {Journal for geometry and graphics},
     pages = {217--236},
     year = {2022},
     volume = {26},
     number = {2},
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R. Alves Garcia; D. Reznik; P. Roitman . New Properties of Harmonic Polygons. Journal for geometry and graphics, Tome 26 (2022) no. 2, pp. 217-236. http://geodesic.mathdoc.fr/item/JGG_2022_26_2_JGG_2022_26_2_a2/