## Forum Geometricorum

### A Journal on Classical Euclidean Geometry and Related Areas

 Short Title: Forum Geom. Publisher: Florida Atlantic University, Department of Mathematical Sciences, Boca Raton, FL ISSN: 1534-1178/e Online: https://forumgeom.fau.edu/index1.html Comments: Indexed cover-to-cover; Published electronic only as of Vol. 1 (2001). This journal is available open access.
 Documents Indexed: 591 Publications (since 2001) References Indexed: 75 Publications with 519 References.
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### Latest Issues

 19 (2019) 18 (2018) 17 (2017) 16 (2016) 15 (2015) 14 (2014) 13 (2013) 12 (2012) 11 (2011) 10 (2010) 9 (2009) 8 (2008) 7 (2007) 6 (2006) 5 (2005) 4 (2004) 3 (2003) 2 (2002) 1 (2001)
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### Authors

 30 Dergiades, Nikolaos 27 van Lamoen, Floor 24 Yiu, Paul Y. H. 20 Pamfilos, Paris 16 Josefsson, Martin 15 Okumura, Hiroshi 14 Ehrmann, Jean-Pierre 14 Gibert, Bernard 13 García Capitán, Francisco Javier 12 Kimberling, Clark H. 10 Hung, Tran Quang 9 Hajja, Mowaffaq 9 Lucca, Giovanni 8 Danneels, Eric 8 Kiss, Sándor Nagydobai 8 Myakishev, Alexei 8 Nicollier, Grégoire 7 Hofstetter, Kurt 6 Bataille, Michel 6 Heß, Albrecht 6 Mammana, Maria Flavia 6 Pohoata, Cosmin 6 Sastry, K. R. S. 6 Suceavă, Bogdan Dragos 6 Watanabe, Masayuki 5 Alperin, Roger Charles 5 Bui, Quang Tuan 5 Čerin, Zvonko Tomislav 5 Emelyanov, Lev 5 Nguyen Minh Ha 5 Oxman, Victor 5 Pennisi, Mario 5 Shattuck, Mark A. 5 Smith, Geoff C. 5 Thas, Charles 5 Weise, Gotthard 4 Abu-Saymeh, Sadi 4 Apostol, Tom M. 4 Atzema, Eisso J. 4 Boskoff, Wladimir-Georges 4 Bradley, Christopher J. 4 García, Emmanuel Antonio José 4 Goehl, John F. jun. 4 Grinberg, Darij 4 Liu, Shao-Cheng 4 Micale, Biagio 4 Mnatsakanian, Mamikon A. 4 Salazar, Juan Carlos 4 Stevanović, Milorad R. 3 Christodoulou, Dimitris M. 3 Connelly, Harold 3 Nguyen Tien Dung 3 Emelyanova, Tatiana 3 Evans, Lawrence S. 3 Evers, Manfred 3 Hatzipolakis, Antreas P. 3 Hoehn, Larry 3 Holshouser, Arthur L. 3 Mansour, Toufik 3 Nguyen, Khoa Lu 3 Oai, Dao Thanh 3 Reiter, Harold Braun 3 Scimemi, Benedetto 3 Soldatos, Gerasimos Theodore 3 Unger, James Marshall 3 Vickers, Glenn T. 3 Vonk, Jan B. 3 Zhou, Li 2 Alsina, Claudi 2 Anghel, Nicolae 2 Ayme, Jean-Louis 2 Azarian, Mohammad K. 2 Bencze, Mihaly 2 Bialostocki, Arie 2 Celli, Martin 2 Chipalkatti, Jaydeep V. 2 Dergiades, Nikolas 2 Donnelly, John B. 2 Donolato, Cesare 2 Dung, Nguyen Thanh 2 Fisher, J. Chris 2 Fraivert, David 2 Gelisgen, Ozcan 2 Gensane, Thierry 2 Gévay, Gábor E. 2 Herrera, Blas 2 Honvault, Pascal 2 Hudelson, Matthew G. 2 Jackson, Frank M. 2 Liebscher, Dierck-Ekkehard 2 Liebscher, Stefan 2 Lim, Sung Hyun 2 Lucero, Jorge C. 2 MacLeod, Allan J. 2 Marinescu, Dan Ştefan 2 Markov, Lubomir P. 2 Minevich, Igor 2 Molchanov, Stanislav Alekseevich 2 Monea, Mihai 2 Mortici, Cristinel ...and 226 more Authors
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### Fields

 585 Geometry (51-XX) 21 Convex and discrete geometry (52-XX) 8 Number theory (11-XX) 8 Algebraic geometry (14-XX) 7 History and biography (01-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Computer science (68-XX) 3 Mathematics education (97-XX) 2 Real functions (26-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Mechanics of particles and systems (70-XX)

### Citations contained in zbMATH Open

183 Publications have been cited 336 times in 221 Documents Cited by Year
Integral right triangle and rhombus pairs with a common area and a common perimeter. Zbl 1335.51021
Chern, Shane
2016
An elementary proof of the isoperimetric inequality. Zbl 1025.52009
2002
More characterizations of tangential quadrilaterals. Zbl 1222.51011
Josefsson, Martin
2011
Characterizations of trapezoids. Zbl 1300.51007
Josefsson, Martin
2013
Similar metric characterizations of tangential and extangential quadrilaterals. Zbl 1247.51011
Josefsson, Martin
2012
A visual proof of the Erdős-Mordell inequality. Zbl 1123.51024
Alsina, Claudi; Nelsen, Roger B.
2007
An extension of triangle constructions from located points. Zbl 1168.51302
Connelly, Harold
2009
Signed distances and the Erdős-Mordell inequality. Zbl 1071.51007
2004
A purely synthetic proof of the Droz-Farny line theorem. Zbl 1078.51019
Ayme, Jean-Louis
2004
Heron triangle and rhombus pairs with a common area and a common perimeter. Zbl 1381.51013
Zhang, Yong; Peng, Jinyao
2017
Characterizations of orthodiagonal quadrilaterals. Zbl 1242.51009
Josefsson, Martin
2012
Non-Euclidean versions of some classical triangle inequalities. Zbl 1247.51012
Svrtan, Dragutin; Veljan, Darko
2012
Orthocorrespondence and orthopivotal cubics. Zbl 1025.51021
Gibert, Bernard
2002
On the construction of regular polygons and generalized napoleon vertices. Zbl 1181.51020
Vartziotis, Dimitris; Wipper, Joachim
2009
On the derivative of a vertex polynomial. Zbl 1126.51014
Parish, James L.
2006
A strengthened version of the Erdős-Mordell inequality. Zbl 1354.51019
Thanh Oai Dao; Nguyen Tien Dung; Pham Ngoc Mai
2016
Convolution filters for triangles. Zbl 1287.51014
Nicollier, Grégoire
2013
On the coincidences of Pascal lines. Zbl 1335.51029
Chipalkatti, Jaydeep
2016
A short trigonometric proof of the Steiner-Lehmus theorem. Zbl 1163.51308
Hajja, Mowaffaq
2008
A condition for a circumscriptible quadrilateral to be cyclic. Zbl 1163.51309
Hajja, Mowaffaq
2008
The Poncelet pencil of rectangular hyperbolas. Zbl 1187.51011
Alperin, Roger C.
2010
Another proof of the Erdős-Mordell theorem. Zbl 0986.51027
Lee, Hojoo
2001
Heron triangles: A Gergonne-cevian-and-median perspective. Zbl 0986.51030
Sastry, K. R. S.
2001
Sawayama and Thébault’s theorem. Zbl 1073.51007
Ayme, Jean-Louis
2003
Napoleon-like configurations and sequences of triangles. Zbl 1022.51015
Ziv, Barukh
2002
Sastry, K. R. S.
2002
Bicentric pairs of points and related triangle centers. Zbl 1028.51019
Kimberling, Clark
2002
Further inequalities of Erdős-Mordell type. Zbl 1068.51019
Janous, Walther
2004
An extension of Miquel’s six-circles theorem. Zbl 1383.51017
Gévay, Gábor
2018
Reciprocal Jacobi triangles and the McCay cubic. Zbl 1322.51010
Vickers, Glenn T.
2015
Properties of equidiagonal quadrilaterals. Zbl 1301.51020
Josefsson, Martin
2014
Dao’s theorem on six circumcenters associated with a cyclic hexagon. Zbl 1301.51017
2014
A purely synthetic proof of Dao’s theorem on six circumcenters associated with a cyclic hexagon. Zbl 1302.51010
Cohl, Telv
2014
About a strengthened version of Erdős-Mordell inequality. Zbl 1373.51011
Marinescu, Dan Stefan; Monea, Mihai
2017
On the geometry of equilateral triangles. Zbl 1119.51014
Sándor, József
2005
The locations of triangle centers. Zbl 1122.51018
Bradley, Christopher J.; Smith, Geoff C.
2006
On two remarkable lines related to a quadrilateral. Zbl 1129.51012
Myakishev, Alexei
2006
A simple vector proof of Feuerbach’s theorem. Zbl 1284.51018
Scheer, Michael J. G.
2011
Regular polygons and the golden section. Zbl 1344.51002
Paunić, Djura; Yiu, Paul
2016
Wernick’s list: a final update. Zbl 1335.51002
Schreck, Pascal; Mathis, Pascal; Marinkovic, Vesna; Janicic, Predrag
2016
Regular polytopic distances. Zbl 1341.51041
Park, Poo-Sung
2016
A quadrilateral half-turn theorem. Zbl 1341.51021
Minevich, Igor; Morton, Patrick
2016
Maximal area of a bicentric quadrilateral. Zbl 1258.51011
Josefsson, Martin
2012
Heronian triangles whose areas are integer multiples of their perimeters. Zbl 1162.51007
Markov, Lubomir
2007
On a construction of Hagge. Zbl 1162.51010
2007
A short proof of Lemoine’s theorem. Zbl 1163.51312
Pohoata, Cosmin
2008
Periodic billiard trajectories in polyhedra. Zbl 1185.37093
Bedaride, Nicolas
2008
Stronger forms of the Steiner-Lehmus theorem. Zbl 1163.51007
Hajja, Mowaffaq
2008
Characterizations of tangential quadrilaterals. Zbl 1168.51004
Minculete, Nicusor
2009
Triangles with given incircle and centroid. Zbl 1222.51012
Pamfilos, Paris
2011
Perspective isoconjugate triangle pairs, Hofstadter pairs, and crosssums on the nine-point circle. Zbl 1213.51014
Moses, Peter J. C.; Kimberling, Clark
2011
Extreme areas of triangles in {P}oncelet’s closure theorem. Zbl 1074.51009
2004
Geometry and group structures of some cubics. Zbl 1027.14015
Lang, Fred
2002
A projective generalization of the Droz-Farny line theorem. Zbl 1076.51008
Ehrmann, Jean-Pierre; van Lamoen, Floor
2004
Areas and shapes of planar irregular polygons. Zbl 1382.51012
Garza-Hume, C. E.; Jorge, Maricarmen C.; Olvera, Arturo
2018
A new proof of Yun’s inequality for bicentric quadrilaterals. Zbl 1242.51010
Josefsson, Martin
2012
The perpendicular bisector construction, isoptic point and the Simson line of a quadrilateral. Zbl 1244.51006
2012
Sherman’s fourth side of a triangle. Zbl 1252.51009
Yiu, Paul
2012
Optimal packings of two ellipses in a square. Zbl 1303.52008
Gensane, Thierry; Honvault, Pascal
2014
Do dogs play with rulers and compasses? Zbl 1339.51011
Zhou, Li
2015
Some remarks on a Sangaku from Chiba. Zbl 1333.51007
Pamfilos, Paris
2015
On a new generalization of the Droz-Farny line. Zbl 1362.51010
Letrouit, Cyril
2016
Circle chains inscribed in symmetrical lenses and integer sequences. Zbl 1362.51011
Lucca, Giovanni
2016
A maximal parallelogram characterization of ovals having circles as orthoptic curves. Zbl 1194.51015
Anghel, Nicolae
2010
Simple relations regarding the Steiner inellipse of a triangle. Zbl 1222.51008
Scimemi, Benedetto
2010
Mammana, Maria Flavia; Micale, Biagio; Pennisi, Mario
2010
Calculations concerning the tangent lengths and tangency chords of a tangential quadrilateral. Zbl 1202.51015
Josefsson, Martin
2010
On the construction of a triangle from the feet of its angle bisectors. Zbl 1177.51019
Ustinov, Alexey V.
2009
Statics and the moduli space of triangles. Zbl 1119.51017
Smith, Geoff C.
2005
Integral triangles and trapezoids pairs with a common area and a common perimeter. Zbl 1432.51018
Zhang, Yong; Peng, Junyao; Wang, Jiamin
2018
Inversions in an ellipse. Zbl 1295.51024
Ramírez, José L.
2014
The associated harmonic quadrilateral. Zbl 1284.51017
Pamfilos, Paris
2014
The lemniscatic chessboard. Zbl 1284.33015
Langer, Joel C.; Singer, David A.
2011
Rational Steiner porism. Zbl 1287.51002
Yiu, Paul
2011
A distance property of the Feuerbach point and its extension. Zbl 1347.51004
Kiss, Sandor N.
2016
The golden section in the inscribed square of an isosceles right triangle. Zbl 1309.51007
Hung, Tran Quang
2015
From electrostatic potentials to yet another triangle center. Zbl 1309.51005
Abraham, Hrvoje; Kovac, Vjekoslav
2015
Isogonal conjugates in a tetrahedron. Zbl 1335.51020
2016
On the diagonal and inscribed pentagons of a pentagon. Zbl 1341.51029
Pamfilos, Paris
2016
Septic equations are solvable by 2-fold origami. Zbl 1341.51027
König, Joachim; Nedrenco, Dmitri
2016
A proof of the butterfly theorem using Ceva’s theorem. Zbl 1341.51025
Donolato, Cesare
2016
A recursive formula for the circumradius of the $$n$$-simplex. Zbl 1341.51036
Kobayashi, Kenta
2016
Some golden sections in the equilateral and right isosceles triangles. Zbl 1347.51005
Dao, Thanh Oai
2016
The maltitude construction in a convex noncyclic quadrilateral. Zbl 1258.51010
Mammana, Maria Flavia
2012
Coincidence of centers for scalene triangles. Zbl 1162.51311
2007
Another verification of Fagnano’s theorem. Zbl 1162.51307
Holland, Finbarr
2007
How pivotal isocubics intersect the circumcircle. Zbl 1162.51011
Gibert, Bernard
2007
A simple ruler and rusty compass construction of the regular pentagon. Zbl 1163.51314
Hofstetter, Kurt
2008
An inequality involving the angle bisectors and an interior point of a triangle. Zbl 1163.51316
Jiang, Wei-Dong
2008
On the centroids of polygons and polyhedra. Zbl 1163.51311
Mammana, Maria Flavia; Micale, Biagio; Pennisi, Mario
2008
Another variation on the Steiner-Lehmus theme. Zbl 1163.51004
Abu-Saymeh, Sadi; Hajja, Mowaffaq; ShahAli, Hassan Ali
2008
A simple compass-only construction of the regular pentagon. Zbl 1163.51315
Hofstetter, Kurt
2008
Another compass-only construction of the golden section and of the regular pentagon. Zbl 1163.51313
Bataille, Michel
2008
Some identities arising from inversion of Pappus chains of an arbelos. Zbl 1165.51009
Lucca, Giovanni
2008
On the Nagel line and a prolific polar triangle. Zbl 1168.51005
Vonk, Jan
2008
On trigonometric proofs of the Steiner-Lehmus theorem. Zbl 1169.51019
Oláh-Gál, Róbert; Sándor, József
2009
A new proof of a “hard but important” Sangaku problem. Zbl 1187.51015
Unger, J. Marshall
2010
The circles of Lester, Evans, Parry, and their generalizations. Zbl 1223.51027
Yiu, Paul
2010
Friendship among triangle centers. Zbl 0986.51023
van Lamoen, Floor
2001
The Malfatti problem. Zbl 0986.51010
Bottema, Oene
2001
Integer sequences and circle chains inside a hyperbola. Zbl 1415.51033
Lucca, Giovanni
2019
An extension of Miquel’s six-circles theorem. Zbl 1383.51017
Gévay, Gábor
2018
Areas and shapes of planar irregular polygons. Zbl 1382.51012
Garza-Hume, C. E.; Jorge, Maricarmen C.; Olvera, Arturo
2018
Integral triangles and trapezoids pairs with a common area and a common perimeter. Zbl 1432.51018
Zhang, Yong; Peng, Junyao; Wang, Jiamin
2018
The relativity of conics and circles. Zbl 1454.51012
Liebscher, Stefan; Liebscher, Dierck-E.
2018
A curvature invariant inspired by Leonhard Euler’s inequality $$R\geq 2r$$. Zbl 1397.53011
Brubaker, Nicholas D.; Camero, Jasmine; Rocha Rocha, Oscar; Soto, Roberto; Suceavă, Bogdan D.
2018
A model of continuous plane geometry that is nowhere geodesic. Zbl 1398.51027
Donnelly, John
2018
Is the mystery of Morley’s trisector theorem resolved? Zbl 1398.51030
2018
Heron triangle and rhombus pairs with a common area and a common perimeter. Zbl 1381.51013
Zhang, Yong; Peng, Jinyao
2017
About a strengthened version of Erdős-Mordell inequality. Zbl 1373.51011
Marinescu, Dan Stefan; Monea, Mihai
2017
The periambic constellation: altitudes, perpendicular bisectors, and other radical axes in a triangle. Zbl 1381.51010
Jones, Dixon J.
2017
Orthopoles, flanks, and Vecten points. Zbl 1384.51027
Zaharinov, Todor
2017
Properties of a Pascal points circle in a quadrilateral with perpendicular diagonals. Zbl 1390.51009
Fraivert, David
2017
Another simple construction of the golden ratio in an isosceles triangle. Zbl 1368.51014
Hung, Tran Quang
2017
A simple synthetic proof of Lemoine’s theorem. Zbl 1362.51008
Hung, Tran Quang
2017
Another simple construction of the golden section with equilateral triangles. Zbl 1362.51027
Hung, Tran Quang
2017
Do dogs know the bifurcation locus? Zbl 1362.51022
Zhou, Li
2017
Circle chains inscribed in symmetrical lunes and integer sequences. Zbl 1362.51013
Lucca, Giovanni
2017
The golden ratio and regular polygons. Zbl 1362.51029
Pietsch, Manfred
2017
On the elementary single-fold operations of origami: reflections and incidence constraints on the plane. Zbl 1367.51021
Lucero, Jorge C.
2017
New interpolation inequalities to Euler’s $$R\geq 2r$$. Zbl 1377.51010
Andrica, Dorin; Marinescu, Dan-Stefan
2017
Side lengths of Morley triangles and tetrahedra. Zbl 1366.51005
Svrtan, Dragutin; Veljan, Darko
2017
Integral right triangle and rhombus pairs with a common area and a common perimeter. Zbl 1335.51021
Chern, Shane
2016
A strengthened version of the Erdős-Mordell inequality. Zbl 1354.51019
Thanh Oai Dao; Nguyen Tien Dung; Pham Ngoc Mai
2016
On the coincidences of Pascal lines. Zbl 1335.51029
Chipalkatti, Jaydeep
2016
Regular polygons and the golden section. Zbl 1344.51002
Paunić, Djura; Yiu, Paul
2016
Wernick’s list: a final update. Zbl 1335.51002
Schreck, Pascal; Mathis, Pascal; Marinkovic, Vesna; Janicic, Predrag
2016
Regular polytopic distances. Zbl 1341.51041
Park, Poo-Sung
2016
A quadrilateral half-turn theorem. Zbl 1341.51021
Minevich, Igor; Morton, Patrick
2016
On a new generalization of the Droz-Farny line. Zbl 1362.51010
Letrouit, Cyril
2016
Circle chains inscribed in symmetrical lenses and integer sequences. Zbl 1362.51011
Lucca, Giovanni
2016
A distance property of the Feuerbach point and its extension. Zbl 1347.51004
Kiss, Sandor N.
2016
Isogonal conjugates in a tetrahedron. Zbl 1335.51020
2016
On the diagonal and inscribed pentagons of a pentagon. Zbl 1341.51029
Pamfilos, Paris
2016
Septic equations are solvable by 2-fold origami. Zbl 1341.51027
König, Joachim; Nedrenco, Dmitri
2016
A proof of the butterfly theorem using Ceva’s theorem. Zbl 1341.51025
Donolato, Cesare
2016
A recursive formula for the circumradius of the $$n$$-simplex. Zbl 1341.51036
Kobayashi, Kenta
2016
Some golden sections in the equilateral and right isosceles triangles. Zbl 1347.51005
Dao, Thanh Oai
2016
A proof of the butterfly theorem using the similarity factor of the two wings. Zbl 1373.51008
Celli, Martin
2016
Minimal proof of a generalized Droz-Farny theorem. Zbl 1362.51016
Nicollier, Grégoire
2016
How to compute a triangle with prescribed lengths of its internal angle bisectors. Zbl 1362.51007
Heindl, Gerhard
2016
Reciprocal Jacobi triangles and the McCay cubic. Zbl 1322.51010
Vickers, Glenn T.
2015
Do dogs play with rulers and compasses? Zbl 1339.51011
Zhou, Li
2015
Some remarks on a Sangaku from Chiba. Zbl 1333.51007
Pamfilos, Paris
2015
The golden section in the inscribed square of an isosceles right triangle. Zbl 1309.51007
Hung, Tran Quang
2015
From electrostatic potentials to yet another triangle center. Zbl 1309.51005
Abraham, Hrvoje; Kovac, Vjekoslav
2015
Herrera, Blas
2015
Equilateral triangles and Kiepert perspectors in complex numbers. Zbl 1315.51011
Oai, Dao Thanh
2015
Bounds for elements of a triangle expressed by $$R, r,$$ and $$s$$. Zbl 1315.51012
Birsan, Temistocle
2015
Reflections on Poncelet’s pencil. Zbl 1315.51008
Alperin, Roger C.
2015
Points on a line that maximize and minimize the ratio of the distances to two given points. Zbl 1322.51008
Bialostocki, Arie; Ely, Rob
2015
Circle incidence theorems. Zbl 1335.51015
Fisher, J. Chris; Schröder, Eberhard M.; Stevens, Jan
2015
Some theorems on polygons with one-line spectral proofs. Zbl 1329.51012
Nicollier, Grégoire
2015
Properties of equidiagonal quadrilaterals. Zbl 1301.51020
Josefsson, Martin
2014
Dao’s theorem on six circumcenters associated with a cyclic hexagon. Zbl 1301.51017
2014
A purely synthetic proof of Dao’s theorem on six circumcenters associated with a cyclic hexagon. Zbl 1302.51010
Cohl, Telv
2014
Optimal packings of two ellipses in a square. Zbl 1303.52008
Gensane, Thierry; Honvault, Pascal
2014
Inversions in an ellipse. Zbl 1295.51024
Ramírez, José L.
2014
The associated harmonic quadrilateral. Zbl 1284.51017
Pamfilos, Paris
2014
On a circle containing the incenters of tangential quadrilaterals. Zbl 1306.51006
Hess, Albrecht
2014
Symbolic substitution has a geometric meaning. Zbl 1300.51016
Evers, Manfred
2014
The Cevian Simson transformation. Zbl 1303.51008
Gibert, Bernard
2014
A note on reflections. Zbl 1303.51007
García, Emmanuel Antonio José
2014
Dynamics of the nested triangles formed by the tops of the perpendicular bisectors. Zbl 1290.51016
Nicollier, Grégoire
2014
A note on the Fermat-Torricelli point of a class of polygons. Zbl 1291.51014
Mortici, Cristinel
2014
Angle and circle characterizations of tangential quadrilaterals. Zbl 1293.51010
Josefsson, Martin
2014
Characterizations of trapezoids. Zbl 1300.51007
Josefsson, Martin
2013
Convolution filters for triangles. Zbl 1287.51014
Nicollier, Grégoire
2013
Bicentric quadrilaterals through inversion. Zbl 1284.51016
Hess, Albrecht
2013
On the Fermat geometric problem. Zbl 1284.51012
Čerin, Zvonko
2013
Pedal polygons. Zbl 1287.51009
Ferrarello, Daniela; Mammana, Maria Flavia; Pennisi, Mario
2013
On polygons admitting a Simson line as discrete analogs of parabolas. Zbl 1282.51013
Tsukerman, Emmanuel
2013
Intersecting equilateral triangles. Zbl 1282.51012
Nielsen, Colleen; Powers, Christa
2013
A vector-based proof of Morley’s trisector theorem. Zbl 1282.51007
Donolato, Cesare
2013
Similar metric characterizations of tangential and extangential quadrilaterals. Zbl 1247.51011
Josefsson, Martin
2012
Characterizations of orthodiagonal quadrilaterals. Zbl 1242.51009
Josefsson, Martin
2012
Non-Euclidean versions of some classical triangle inequalities. Zbl 1247.51012
Svrtan, Dragutin; Veljan, Darko
2012
Maximal area of a bicentric quadrilateral. Zbl 1258.51011
Josefsson, Martin
2012
A new proof of Yun’s inequality for bicentric quadrilaterals. Zbl 1242.51010
Josefsson, Martin
2012
The perpendicular bisector construction, isoptic point and the Simson line of a quadrilateral. Zbl 1244.51006
2012
Sherman’s fourth side of a triangle. Zbl 1252.51009
Yiu, Paul
2012
The maltitude construction in a convex noncyclic quadrilateral. Zbl 1258.51010
Mammana, Maria Flavia
2012
Synthetic proofs of two theorems related to the Feuerbach point. Zbl 1243.51005
Nguyen, Minh Ha; Nguyen, Pham Dat
2012
A highway from Heron to Brahmagupta. Zbl 1244.51005
Hess, Albrecht
2012
More characterizations of tangential quadrilaterals. Zbl 1222.51011
Josefsson, Martin
2011
A simple vector proof of Feuerbach’s theorem. Zbl 1284.51018
Scheer, Michael J. G.
2011
Triangles with given incircle and centroid. Zbl 1222.51012
Pamfilos, Paris
2011
Perspective isoconjugate triangle pairs, Hofstadter pairs, and crosssums on the nine-point circle. Zbl 1213.51014
Moses, Peter J. C.; Kimberling, Clark
2011
The lemniscatic chessboard. Zbl 1284.33015
Langer, Joel C.; Singer, David A.
2011
Rational Steiner porism. Zbl 1287.51002
Yiu, Paul
2011
Solving Euler’s triangleproblem with Poncelet’s pencil. Zbl 1283.51007
Alperin, Roger C.
2011
More on the extension of Fermat’s problem. Zbl 1294.51003
Nguyen Minh Ha; Bui Viet Loc
2011
The area of a bicentric quadrilateral. Zbl 1283.51017
Josefsson, Martin
2011
The area of the diagonal point triangle. Zbl 1283.51012
Josefsson, Martin
2011
The Poncelet pencil of rectangular hyperbolas. Zbl 1187.51011
Alperin, Roger C.
2010
A maximal parallelogram characterization of ovals having circles as orthoptic curves. Zbl 1194.51015
Anghel, Nicolae
2010
Simple relations regarding the Steiner inellipse of a triangle. Zbl 1222.51008
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2010
Mammana, Maria Flavia; Micale, Biagio; Pennisi, Mario
2010
Calculations concerning the tangent lengths and tangency chords of a tangential quadrilateral. Zbl 1202.51015
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2010
A new proof of a “hard but important” Sangaku problem. Zbl 1187.51015
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2010
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### Cited by 269 Authors

 9 Hajja, Mowaffaq 7 Kimberling, Clark H. 6 Josefsson, Martin 5 Hung, Tran Quang 5 Vincenzi, Giovanni 5 Yang, Yunlong 5 Zhang, Yong 4 Moses, Peter J. C. 4 Nicollier, Grégoire 4 Röschel, Otto 4 Schreck, Pascal 3 Chipalkatti, Jaydeep V. 3 Garcia, Ronaldo A. 3 Kiss, Sándor Nagydobai 3 Laudano, Francesco 3 Li, Yangcheng 3 Lucca, Giovanni 3 Pamfilos, Paris 3 Reznik, Dan S. 3 Tsukerman, Emmanuel 3 Veljan, Darko 2 Abu-Saymeh, Sadi 2 Alafifi, Ghada 2 Anatriello, Giuseppina 2 Andrica, Dorin 2 Bataille, Michel 2 Donnelly, John B. 2 Garza-Hume, Clara E. 2 Gévay, Gábor E. 2 Hamdan, Ahmad 2 Horváth, Ákos G. 2 Hungerbuhler, Norbert 2 Janičić, Predrag 2 Jorge, Maricarmen C. 2 Jurkin, Ema 2 Lang, Johann 2 Langer, Joel C. 2 Llibre, Jaume 2 Marinković, Vesna 2 Mathis, Pascal 2 Minevich, Igor 2 Morton, Patrick 2 Ogawa, Hiroyuki 2 Okumura, Hiroshi 2 Olvera, Arturo 2 Sánchez-Reyes, Javier 2 Santoprete, Manuele 2 Shattuck, Mark A. 2 Shirali, Shailesh A. 2 Šimić Horvath, Marija 2 Stupel, Moshe 2 Suceavă, Bogdan Dragos 2 Tabachnikov, Serge L. 2 Tran, Quang Hung 2 van Lamoen, Floor 2 Vartziotis, Dimitris 2 Vickers, Glenn T. 2 Volenec, Vladimir 2 Wipper, Joachim 2 Wu, Yudong 2 Yuan, Pengfei 2 Zhou, Li 1 Abdesselam, Abdelmalek 1 Açıksöz, Gizem Günel 1 Agnew, Alfonso F. 1 Akopyan, Arseniy V. 1 Alperin, Roger Charles 1 Arnold, Maxim 1 Aste, Marco 1 Asti, Giovanni 1 Asti, Laura 1 Bani-Yaghoub, Majid 1 Banjac, Bojan 1 Barbu, Catalin Ionel 1 Bašić, Nino 1 Başkes, Güneş 1 Beardon, Alan Frank 1 Beban-Brkić, Jelena 1 Bédaride, Nicolas 1 Belbachir, Hacene 1 Blazek, Jiri 1 Bobe, Alexandru 1 Bogoşel, Beniamin 1 Boninsegna, Massimo 1 Boskoff, Wladimir-Georges 1 Bradley, Christopher J. 1 Bruen, Aiden A. 1 Buchholz, Ralph Heiner 1 Campión, María Jesús 1 Carroll, Emily 1 Castillo, Ignacio 1 Catalán, Raquel G. 1 Cekić, Mihajlo 1 Celli, Martin 1 Čerin, Zvonko Tomislav 1 Chiang, Ching-Shoei 1 Chu, Yuming 1 Coghetto, Roland 1 Coxeter, Harold Scott MacDonald 1 Crilly, Tony ...and 169 more Authors
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### Cited in 71 Journals

 40 Forum Geometricorum 20 Journal of Geometry 18 The Mathematical Gazette 11 Journal for Geometry and Graphics 7 American Mathematical Monthly 7 Elemente der Mathematik 6 Discrete & Computational Geometry 5 Mathematics Magazine 5 Journal of Number Theory 5 Journal of Inequalities and Applications 4 International Journal of Mathematical Education in Science and Technology 4 Beiträge zur Algebra und Geometrie 4 Journal of Mathematical Inequalities 3 Mathematische Semesterberichte 3 Archiv der Mathematik 3 Results in Mathematics 3 Aequationes Mathematicae 3 Advances in Geometry 3 International Electronic Journal of Geometry 2 Discrete Mathematics 2 Rocky Mountain Journal of Mathematics 2 Functiones et Approximatio. Commentarii Mathematici 2 Proceedings of the American Mathematical Society 2 Journal of Symbolic Computation 2 Linear Algebra and its Applications 2 Mathematical Inequalities & Applications 2 Journal of Integer Sequences 2 Mathematics in Computer Science 2 Far East Journal of Mathematical Education 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 General Relativity and Gravitation 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Geometriae Dedicata 1 Transactions of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 International Journal of Approximate Reasoning 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 Computational Geometry 1 Journal of Global Optimization 1 Journal of Mathematical Imaging and Vision 1 Turkish Journal of Mathematics 1 Advances in Applied Clifford Algebras 1 Mathematical Communications 1 PAA. Pattern Analysis and Applications 1 Mechanism and Machine Theory 1 Regular and Chaotic Dynamics 1 Integers 1 Miscelánea Matemática 1 Journal of Systems Science and Complexity 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Milan Journal of Mathematics 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 International Journal of Number Theory 1 Optimization Letters 1 The College Mathematics Journal 1 Advances in Mathematical Physics 1 Formalized Mathematics 1 International Journal of Advances in Applied Mathematics and Mechanics 1 European Journal of Mathematics
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### Cited in 28 Fields

 164 Geometry (51-XX) 26 Convex and discrete geometry (52-XX) 21 Number theory (11-XX) 12 Differential geometry (53-XX) 9 Algebraic geometry (14-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Mathematics education (97-XX) 8 Real functions (26-XX) 7 Combinatorics (05-XX) 7 Computer science (68-XX) 5 Numerical analysis (65-XX) 5 Mechanics of particles and systems (70-XX) 4 History and biography (01-XX) 3 Field theory and polynomials (12-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Relativity and gravitational theory (83-XX) 2 Mathematical logic and foundations (03-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX)