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Another simple construction of the golden section - Michel Bataille
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Oct 9, 2019
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306
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Oct 9, 2019
A simple construction of the golden section - Jo Niemeyer
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Oct 9, 2019
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315
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Oct 9, 2019
Triangles with given incircle and centroid - Paris Pamfilos
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Oct 9, 2019
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308
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Oct 9, 2019
Translation of Fuhrmann's Sur un nouveau cercle associe a un triangle - Jan Vonk and J. Chris Fisher
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Oct 9, 2019
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316
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Oct 9, 2019
The incenter and an excenter as solutions to an extremal problem - Arie Bialostocki and Dora Bialostocki
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Oct 9, 2019
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304
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Oct 9, 2019
The circles of Lester, Evans, Parry, and their generalizations - Paul Yiu
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Oct 9, 2019
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300
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Oct 9, 2019
Characterizations of bicentric quadrilaterals - Martin Josefsson
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Oct 9, 2019
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399
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Oct 9, 2019
On the Euler reflection point - Cosmin Pohoata
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Oct 9, 2019
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451
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Oct 9, 2019
Integer triangles with R/r = N - Allan MacLeod
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Oct 9, 2019
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949
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Oct 9, 2019
Construction with inscribed ellipses in a triangle - Nikolaos Dergiades
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Oct 9, 2019
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305
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Oct 9, 2019
Trilinear distance inequalities for the symmedian point, the centroid, and other triangle centers - Clark Kimberling
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Oct 9, 2019
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383
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Oct 9, 2019
Generalized Fibonacci circle chains - Giovanni Lucca
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Oct 9, 2019
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349
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Oct 9, 2019
Calculations concerning the tangent lengths and tangency chords of a tangential quadrilateral - Martin Josefsson
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Oct 9, 2019
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390
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Oct 9, 2019
Iterates of Brocardian points and lines - Gotthard Weise
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Oct 9, 2019
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318
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Oct 9, 2019
Three maximal cyclic quadrangles - Paris Pamfilos
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Oct 9, 2019
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321
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Oct 9, 2019
Diophantine Steiner triples and Pythagorean-type triangles - Bojan Hvala
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Oct 9, 2019
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330
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Oct 9, 2019
Orthic quadrilaterals of a convex quadrilateral - Maria Flavia Mammana, Biagio Micale and Mario Pennisi
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Oct 9, 2019
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301
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Oct 9, 2019
Simple relations regarding the Steiner inellipse of a triangle - Benedetto Scimemi
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Oct 9, 2019
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314
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Oct 9, 2019
Conics tangent at the vertices to two sides of a triangle - Nikolaos Dergiades
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Oct 9, 2019
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304
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Oct 9, 2019
Some triangle centers associated with the circles tangent to the excircles - Boris Odehnal
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Oct 9, 2019
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286
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Oct 9, 2019
On the inradius of a tangential quadrilateral - Martin Josefsson
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Oct 9, 2019
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309
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Oct 9, 2019
A maximal parallelogram characterization of ovals having circles as orthoptic curves - Nicolae Anghel
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Oct 9, 2019
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315
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Oct 9, 2019
The Poncelet pencil of rectangular hyperbolas - Roger C. Alperin
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Oct 9, 2019
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307
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Oct 9, 2019
A new proof of a hard but important Sangaku problem - J. Marshall Unger
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Oct 9, 2019
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0
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418
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Oct 9, 2019
A triad of similar triangles associated with the perpendicular bisectors of the sides of a triangle - Quang Tuan Bui
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Oct 9, 2019
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Views:
359
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Oct 9, 2019
Reflections in triangle geometry - Antreas P. Hatzipolakis and Paul Yiu
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Oct 9, 2019
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450
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Oct 9, 2019
Trilinear polars of Brocardians - Francisco Javier Garcia Capitan
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Oct 9, 2019
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0
Views:
317
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Oct 9, 2019
A sequence of triangles and geometric inequalities - Dan Marinescu, Mihai Monea, Mihai Opincariu and Marian Stroe
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Oct 9, 2019
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0
Views:
379
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Oct 9, 2019
Pythagorean triangles with square of perimeter equal to an integer multiple of area - John F. Goehl
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Oct 9, 2019
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0
Views:
312
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Oct 9, 2019
On the construction of a triangle from the feet of its angle bisectors - Alexey V. Ustinov
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Oct 9, 2019
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Views:
302
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Oct 9, 2019
On the possibility of trigonometric proofs of the Pythagorean theorem - Jason Zimba
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Oct 9, 2019
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298
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Oct 9, 2019
Ten concurrent Euler lines - Nikolai Ivanov Beluhov
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Oct 9, 2019
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Views:
299
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Oct 9, 2019
Some triangle centers associated with the tritangent circles - Nikolas Dergiades and Juan Carlos Salazar
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Oct 9, 2019
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Views:
294
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Oct 9, 2019
Conic homographies and bitangent pencils - Paris Pamfilos
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Oct 9, 2019
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Views:
339
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Oct 9, 2019
A simple barycentric coordinates formula - Nikolaos Dergiades
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Oct 9, 2019
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Views:
344
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Oct 9, 2019
On the construction of regular polygons and generalized Napoleon vertices - Dimitris Vartziotis and Joachim Wipper
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Oct 9, 2019
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0
Views:
360
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Oct 9, 2019
Class preserving dissections of convex quadrilaterals - Dan Ismailescu and Adam Vojdany
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Oct 9, 2019
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Views:
301
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Oct 9, 2019
On three circles - David Graham Searby
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Oct 9, 2019
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Views:
380
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Oct 9, 2019
Circle chains inside a circular segment - Giovanni Lucca
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Oct 9, 2019
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350
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Oct 9, 2019
A family of quartics associated with a triangle - Peter Yff
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Oct 9, 2019
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Views:
313
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Oct 9, 2019
An angle bisector parallel applied to triangle construction - Harold Connelly and Beata Randrianantoanina
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Oct 9, 2019
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0
Views:
308
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Oct 9, 2019
On trigonometric proofs of the Steiner-Lehmus theorem - Robert Olah-Gal and Jozsef Sandor
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Oct 9, 2019
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Views:
319
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Oct 9, 2019
The symmedian point and concurrent antiparallel images - Shao-Cheng Liu
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Oct 9, 2019
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Views:
578
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Oct 9, 2019
Heptagonal triangles and their companions - Paul Yiu
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Oct 7, 2019
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341
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Oct 7, 2019
A note on the anticomplements of the Fermat points - Cosmin Pohoata
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Oct 7, 2019
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Views:
367
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Oct 7, 2019
Characterizations of a tangential quadrilateral - Nicusor Minculete
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Oct 7, 2019
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374
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Oct 7, 2019
An extension of triangle constructions from located points - Harold Connelly
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Oct 7, 2019
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347
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Oct 7, 2019
Folding a square to identify two adjacent sides - Cristinel Mortici
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Oct 7, 2019
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Views:
299
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Oct 7, 2019
On the Newton line of a quadrilateral - Paris Pamfilos
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Oct 7, 2019
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315
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Oct 7, 2019
Rings of squares around orthologic triangles - Zvonko Cerin
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Oct 7, 2019
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Views:
287
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Oct 7, 2019
The Feuerbach point and reflections of the Euler line - Jan Vonk
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Oct 7, 2019
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Views:
416
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Oct 7, 2019
On integer relations between the area and perimeter of Heron triangles - Allan J. MacLeod
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Oct 7, 2019
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308
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Oct 7, 2019
Mappings associated with vertex triangles - Clark Kimberling
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Oct 7, 2019
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0
Views:
333
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Oct 7, 2019
The lost daughters of Gergonne - Steve Butler
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Oct 7, 2019
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Views:
332
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Oct 7, 2019
On n-sections and reciprocal quadrilaterals - Eisso J. Atzema
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Oct 7, 2019
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Views:
286
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Oct 7, 2019
A generalization of Thebault's theorem on the concurrency of three Euler lines - Shao-Cheng Liu
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Oct 7, 2019
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Views:
388
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Oct 7, 2019
An elementary proof of a theorem by Emelyanov - Eisso J. Atzema
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Oct 7, 2019
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Views:
330
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Oct 7, 2019
A purely geometric proof of the uniqueness of a triangle with prescribed angle bisectors - Victor Oxman
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Oct 7, 2019
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Views:
302
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Oct 7, 2019
On the Nagel line and a prolific polar triangle - Jan Vonk
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Oct 7, 2019
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Views:
326
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Oct 7, 2019
Second-degree involutory symbolic substitutions - Clark Kimberling
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Oct 7, 2019
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Views:
367
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Oct 7, 2019
Some identities arising from inversion of Pappus chains in an arbelos - Giovanni Lucca
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Oct 7, 2019
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293
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Oct 7, 2019
Another compass-only construction of the golden section and of the regular pentagon - Michel Bataille
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Oct 7, 2019
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354
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Oct 7, 2019
A new proof of a weighted Erdos-Mordell type inequality - Yu-Dong Wu
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Oct 7, 2019
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365
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Oct 7, 2019
Stronger forms of the Steiner-Lehmus theorem - Mowaffaq Hajja
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Oct 7, 2019
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332
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Oct 7, 2019
On the generalized Gergonne point and beyond - Miklos Hoffmann and Sonja Gorjanc
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Oct 7, 2019
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345
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Oct 7, 2019
Two more Powerian pairs in the arbelos - Quang Tuan Bui
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Oct 7, 2019
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Views:
299
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Oct 7, 2019
Another variation of the Steiner-Lehmus theme - Sadi Abu-Saymeh, Mowaffaq Hajja, and Hassan Ali ShahAli
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Oct 7, 2019
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Views:
311
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Oct 7, 2019
On the centroids of polygons and polyhedra - Maria Flavia Mammana, Biagio Micale and Mario Pennisi
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Oct 7, 2019
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295
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Oct 7, 2019
Periodic billiard trajectories in polyhedra - Nicolas Bedaride
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Oct 6, 2019
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Views:
301
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Oct 6, 2019
A condition for a circumscriptible quadrilateral to be cyclic - Mowaffaq Hajja
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Oct 6, 2019
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Views:
323
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Oct 6, 2019
Means as chords - Francisco Javier Garcia Capitan
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Oct 6, 2019
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Views:
309
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Oct 6, 2019
A short proof of Lemoine's theorem - Cosmin Pohoata
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Oct 6, 2019
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Views:
344
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Oct 6, 2019
Cubics related to coaxial circles - Bernard Gibert
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Oct 6, 2019
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Views:
382
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Oct 6, 2019
An inequality involving the angle bisectors and an interior point of a triangle - Wei-Dong Jiang
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Oct 6, 2019
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308
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Oct 6, 2019
Haruki's lemma and a related locus problem - Yaroslav Bezverkhnyev
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Oct 6, 2019
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Views:
448
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Oct 6, 2019
A simple ruler and rusty compass construction of the regular pentagon - Kurt Hofstetter
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Oct 6, 2019
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298
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Oct 6, 2019
Construction of Malfatti squares - Floor van Lamoen and Paul Yiu
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Oct 6, 2019
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Views:
362
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Oct 6, 2019
On the Parry reflection point - Cosmin Pohoata
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Oct 6, 2019
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0
Views:
307
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Oct 6, 2019
A short trigonometric proof of the Steiner-Lehmus theorem - Mowaffaq Hajja
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Oct 6, 2019
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0
Views:
312
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Oct 6, 2019
Kronecker theorem and a sequence of triangles - Panagiotis T. Krasopoulos
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Oct 6, 2019
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300
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Oct 6, 2019
Angles, area and perimeter caught in a cubic - George Baloglou and Michel Helfgott
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Oct 6, 2019
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Views:
296
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Oct 6, 2019
Two triads of congruent circles from reflections - Quang Tuan Bui
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Oct 6, 2019
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Views:
389
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Oct 6, 2019
An affine variant of a Steinhaus problem - Jean-Pierre Ehrmann
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Oct 6, 2019
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Views:
313
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Oct 6, 2019
On a construction of Hagge - Christopher Bradley and Geoff Smith
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Oct 6, 2019
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Views:
327
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Oct 6, 2019
How pivotal isocubics intersect the circumcircle - Bernard Gibert
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Oct 6, 2019
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Views:
296
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Oct 6, 2019
Another verification of Fagnano's theorem - Finbarr Holland
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Oct 6, 2019
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Views:
407
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Oct 6, 2019
Cyclic quadrilaterals with prescribed Varignon parallelogram - Michel Bataille
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Oct 6, 2019
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Views:
302
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Oct 6, 2019
The Soddy circles - Nikolaus Dergiades
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Oct 6, 2019
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Views:
444
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Oct 6, 2019
Constructive solution of a generalization of Steinhaus' problem on partition of a triangle - Jean-Pierre Ehrmann
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Oct 6, 2019
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Views:
337
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Oct 6, 2019
Steinhaus' problem on partition of a triangle - Apoloniusz Tyszka
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Oct 6, 2019
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Views:
551
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Oct 6, 2019
On a product of two points induced by their cevian triangles - Cosmin Pohoata and Paul Yiu
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Oct 6, 2019
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0
Views:
280
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Oct 6, 2019
Fixed points and fixed lines of Ceva collineations - Clark Kimberling
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Oct 6, 2019
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Views:
311
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Oct 6, 2019
Some triangle centers associated with the excircles - Tibor Dosa
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Oct 6, 2019
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Views:
322
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Oct 6, 2019
On the diagonals of a cyclic quadrilateral - Claudi Alsina and Roger B. Nelsen
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Oct 6, 2019
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0
Views:
317
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Oct 6, 2019
Coincidence of centers for scalene triangles - Sadi Abu-Saymeh and Mowaffaq Hajja
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Oct 6, 2019
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Views:
306
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Oct 6, 2019
Heronian triangles whose areas are integer multiples of their perimeters - Lubomir Markov
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Oct 6, 2019
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Views:
293
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Oct 6, 2019
Remarks on Woo's Archimedean circles - Hiroshi Okumura and Masayuki Watanabe
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Oct 6, 2019
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Views:
326
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Oct 6, 2019
Characterizations of an infinite set of Archimedean circles - Hiroshi Okumura and Masayuki Watanabe
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Oct 6, 2019
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330
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Oct 6, 2019
The arbelos and nine-point circles - Quang Tuan Bui
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Oct 5, 2019
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Views:
322
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Oct 5, 2019
Some more Powerian pairs in the arbelos - Floor van Lamoen
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Oct 5, 2019
Replies:
0
Views:
321
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Oct 5, 2019
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