Li, Yangcheng; Zhang, Yong On certain Diophantine equations concerning the areas and perimeters of rational triangles. (English) Zbl 07829408 Publ. Math. Debr. 104, No. 1-2, 89-105 (2024). Reviewer: István Gaál (Debrecen) MSC: 11D25 51M25 11D72 51M05 × Cite Format Result Cite Review PDF Full Text: DOI
Ratcliffe, John G.; Tschantz, Steven T. On a geometry problem in Plato’s Meno. (English) Zbl 1536.51013 Am. Math. Mon. 131, No. 3, 213-224 (2024). Reviewer: Cătălin Barbu (Bačau) MSC: 51M15 × Cite Format Result Cite Review PDF Full Text: DOI
Josefsson, Martin; Dalcín, Mario Characterizations of quasi-isosceles quadrilaterals. (English) Zbl 1538.51007 Int. J. Geom. 13, No. 1, 39-63 (2024). MSC: 51M04 × Cite Format Result Cite Review PDF Full Text: Link
Ambrus, Áron; Csikós, Mónika; Kiss, Gergely; Pach, János; Somlai, Gábor Optimal embedded and enclosing isosceles triangles. (English) Zbl 1526.51012 Int. J. Found. Comput. Sci. 34, No. 7, 737-760 (2023). MSC: 51M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shkredov, I. D.; Solymosi, J. Tilted corners in integer grids. (English) Zbl 1495.05328 Landman, Bruce M. (ed.) et al., Number theory and combinatorics. A collection in honor of the mathematics of Ronald Graham. Berlin: De Gruyter. De Gruyter Proc. Math., 329-338 (2022). MSC: 05D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Su, Zhanjun; Lu, Manman; Liu, Xi Parallel packing of triangles with squares. (English) Zbl 1522.05029 Rocky Mt. J. Math. 51, No. 6, 2209-2216 (2021). Reviewer: Sinai Robins (São Paulo) MSC: 05B40 52C15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Eppstein, David On polyhedral realization with isosceles triangles. (English) Zbl 1469.52010 Graphs Comb. 37, No. 4, 1247-1269 (2021). MSC: 52B10 52B05 51M20 52C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mojzesová, Ildikó; Dráfi, Gábriel How can quadrilaterals be constructed from poly-universe triangles? (English) Zbl 1449.51017 Symmetry Cult. Sci. 31, No. 1, 91-96 (2020). MSC: 51M04 × Cite Format Result Cite Review PDF Full Text: Link
Krishna, Dasari Naga Vijay A note on special cases of Van Aubel’s theorem. (English) Zbl 1477.51010 Int. J. Adv. Appl. Math. Mech. 5, No. 4, 30-51 (2018). Reviewer: Hiroshi Okumura (Maebashi) MSC: 51M04 × Cite Format Result Cite Review PDF Full Text: Link
Lu, M.; Su, Z. Parallel covering of isosceles triangles with squares. (English) Zbl 1424.05046 Acta Math. Hung. 155, No. 2, 266-297 (2018). MSC: 05B40 52C15 × Cite Format Result Cite Review PDF Full Text: DOI
Dobbs, David E. On triangles with the same area. (English) Zbl 1384.51007 Far East J. Math. Educ. 17, No. 1, 1-23 (2017). MSC: 51M04 × Cite Format Result Cite Review PDF Full Text: DOI
Su, Chenyang; Su, Zhanjun; Yuan, Liping Parallel packing and covering of an isosceles right triangle with sequences of squares. (English) Zbl 1413.52024 Ars Comb. 130, 3-16 (2017). MSC: 52C15 05B40 × Cite Format Result Cite Review PDF
Das, Pradeep; Juyal, Abhishek; Moody, Dustin Integral isosceles triangle-parallelogram and Heron triangle-rhombus pairs with a common area and common perimeter. (English) Zbl 1421.11025 J. Number Theory 180, 208-218 (2017). MSC: 11D25 11G05 × Cite Format Result Cite Review PDF Full Text: DOI
Hung, Tran Quang Another simple construction of the golden ratio in an isosceles triangle. (English) Zbl 1368.51014 Forum Geom. 17, 287-288 (2017). MSC: 51M04 51M15 × Cite Format Result Cite Review PDF Full Text: Link
Pietsch, Manfred The golden ratio and regular polygons. (English) Zbl 1362.51029 Forum Geom. 17, 17-19 (2017). MSC: 51M15 × Cite Format Result Cite Review PDF Full Text: Link
Deng, Yiyang; Li, Bingyu; Zhang, Shiqing Four-body central configurations with adjacent equal masses. (English) Zbl 1425.70022 J. Geom. Phys. 114, 329-335 (2017). MSC: 70F10 34C15 34C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Paunić, Djura; Yiu, Paul Regular polygons and the golden section. (English) Zbl 1344.51002 Forum Geom. 16, 273-281 (2016). MSC: 51M15 × Cite Format Result Cite Review PDF Full Text: Link
Hulpke, Alexander; Pambuccian, Victor Aristotle’s problem. (English) Zbl 1421.51006 Beitr. Algebra Geom. 56, No. 2, 473-477 (2015). MSC: 51M09 12F10 51M15 × Cite Format Result Cite Review PDF Full Text: DOI
Kharazishvili, Alexander Three-colorings of the Euclidean plane and associated triangles of a prescribed type. (English) Zbl 1320.05043 Georgian Math. J. 22, No. 3, 393-396 (2015). MSC: 05C15 05C05 × Cite Format Result Cite Review PDF Full Text: DOI
Hung, Tran Quang The golden section in the inscribed square of an isosceles right triangle. (English) Zbl 1309.51007 Forum Geom. 15, 91-92 (2015). MSC: 51M04 × Cite Format Result Cite Review PDF Full Text: Link
Zhu, Shuqiang Eulerian relative equilibria of the curved \(3\)-body problems in \(\mathbf{S}^{2}\). (English) Zbl 1368.70015 Proc. Am. Math. Soc. 142, No. 8, 2837-2848 (2014). MSC: 70F07 70F15 × Cite Format Result Cite Review PDF Full Text: DOI
Kharazishvili, Alexander Some geometric consequences of Ramsey’s combinatorial theorem. (English) Zbl 1323.52003 Bull. TICMI 16, No. 1, 34-42 (2012). MSC: 52A15 52B05 52B10 × Cite Format Result Cite Review PDF Full Text: EMIS
Kharazishvili, Alexander Some topologic-geometrical properties of external bisectors of a triangle. (English) Zbl 1266.51022 Georgian Math. J. 19, No. 4, 697-704 (2012). Reviewer: Georgi Hristov Georgiev (Shumen) MSC: 51M04 51M15 × Cite Format Result Cite Review PDF Full Text: DOI
Ionică, Iuliana Bisectrices of a triangle in a linear normed space and Hilbertian norms. (English) Zbl 1265.46043 An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 58, No. 1, 145-156 (2012). MSC: 46C15 46C50 × Cite Format Result Cite Review PDF
Xu, Wenxue; Zhou, Jiazu; Chen, Fangwei On the isosceles trapezoids of constant width. (Chinese. English summary) Zbl 1488.52003 Sci. Sin., Math. 41, No. 10, 855-860 (2011). MSC: 52A10 52A38 × Cite Format Result Cite Review PDF Full Text: DOI
Bose, Prosenjit; Mora, Mercè; Seara, Carlos; Sethia, Saurabh On computing enclosing isosceles triangles and related problems. (English) Zbl 1221.65058 Int. J. Comput. Geom. Appl. 21, No. 1, 25-45 (2011). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65D18 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kido, Hiroaki On isosceles sets in the 4-dimensional Euclidean space. (English) Zbl 1295.51021 Int. J. Comb. 2010, Article ID 803210, 30 p. (2010). MSC: 51M04 × Cite Format Result Cite Review PDF Full Text: DOI
Avelino, Catarina P.; Santos, Altino F. Spherical f-tilings by scalene triangles and isosceles trapezoids. III. (English) Zbl 1292.52020 Electron. J. Comb. 16, No. 1, Research Paper R87, 39 p. (2009). MSC: 52C20 52B05 20B35 05B45 × Cite Format Result Cite Review PDF Full Text: EMIS
Pambuccian, V. Universal-existential axiom systems for geometries expressed with Pieri’s isosceles triangle as single primitive notion. (English) Zbl 1223.51028 Rend. Semin. Mat., Univ. Politec. Torino 67, No. 3, 327-339 (2009). MSC: 51M05 51F15 51M10 03B30 × Cite Format Result Cite Review PDF
Nicula, Virgil; Pohoaţă, Cosmin A stronger form of the Steiner-Lehmus theorem. (English) Zbl 1189.51015 J. Geom. Graph. 13, No. 1, 025-027 (2009). Reviewer: Ivko Dimitric (Uniontown) MSC: 51M04 51M15 × Cite Format Result Cite Review PDF Full Text: Link
Wei, Xianglin; Lan, Wenhua; Ding, Ren About convex 4-isosceles 7-point sets. (English. Russian original) Zbl 1192.51013 Math. Notes 85, No. 5, 760-763 (2009); translation from Mat. Zametki 85, No. 5, 797-800 (2009); erratum ibid. 86, No. 6, 899 (2009). Reviewer: Iskander Aliev (Cardiff) MSC: 51M04 × Cite Format Result Cite Review PDF Full Text: DOI
Avelino, Catarina P.; Santos, Altino F. Spherical f-tilings by scalene triangles and isosceles trapezoids. I. (English) Zbl 1203.52015 Eur. J. Comb. 30, No. 5, 1221-1244 (2009). Reviewer: Milica Stojanović (Beograd) MSC: 52C20 05B45 × Cite Format Result Cite Review PDF Full Text: DOI
d’Azevedo Breda, Ana M.; Ribeiro, Patrícia S.; Santos, Altino F. A class of spherical dihedral \(f\)-tilings. (English) Zbl 1161.52014 Eur. J. Comb. 30, No. 1, 119-132 (2009). Reviewer: Milica Stojanović (Beograd) MSC: 52C20 05B45 × Cite Format Result Cite Review PDF Full Text: DOI
Boskoff, Wladimir G.; Suceavă, Bogdan D. A projectivity characterized by the Pythagorean relation. (English) Zbl 1121.51022 Forum Geom. 6, 187-190 (2006). Reviewer: Hermann Heineken (Würzburg) MSC: 51N15 51M15 × Cite Format Result Cite Review PDF Full Text: Link
Mit’kin, D. A. On rational triangles and rational equifacial tetrahedra. (Russian) Zbl 1144.11028 ChebyshevskiĭSb. 6, No. 3(15), 113-122 (2005). Reviewer: K. Szymiczek (Katowice) MSC: 11D25 14H45 × Cite Format Result Cite Review PDF
Satnoianu, Razvan Alin The principle of the isosceles triangle for geometric inequalities. (English) Zbl 1088.51012 Elem. Math. 60, No. 2, 72-81 (2005). Reviewer: Salvador Gomis (Alicante) MSC: 51M16 51M04 × Cite Format Result Cite Review PDF Full Text: DOI
Čerin, Zvonko The vertex-midpoint-centroid triangles. (English) Zbl 1077.51004 Forum Geom. 4, 97-109 (2004). Reviewer: R. W. van der Waall (Amsterdam) MSC: 51M04 × Cite Format Result Cite Review PDF Full Text: Link
Xu, Changqing; Ding, Ren The number of isosceles right triangles determined by \(n\) points in convex position in the plane. (English) Zbl 1060.52009 Discrete Comput. Geom. 31, No. 3, 491-499 (2004). Reviewer: Mihai Cipu (Bucureşti) MSC: 52C10 × Cite Format Result Cite Review PDF Full Text: DOI
Satnoianu, Razvan Alin Refined geometric inequalities between two or more triangles obtained by dedublation. (English) Zbl 1057.51014 Math. Inequal. Appl. 7, No. 2, 289-298 (2004). Reviewer: Salvador Gomis (Alicante) MSC: 51M16 × Cite Format Result Cite Review PDF Full Text: DOI
Dawson, Robert J. MacG. Tilings of the sphere with isosceles triangles. (English) Zbl 1053.52027 Discrete Comput. Geom. 30, No. 3, 467-487 (2003). Reviewer: Milica Stojanovic (Beograd) MSC: 52C20 × Cite Format Result Cite Review PDF Full Text: DOI
Dawson, Robert J. MacG. An isosceles triangle that tiles the sphere in exactly three ways. (English) Zbl 1053.52026 Discrete Comput. Geom. 30, No. 3, 459-466 (2003). Reviewer: Milica Stojanovic (Beograd) MSC: 52C20 × Cite Format Result Cite Review PDF Full Text: DOI
Satnoianu, Razvan Alin General power inequalities between the sides and the circumscribed and inscribed radii related to the fundamental triangle inequality. (English) Zbl 1009.51010 Math. Inequal. Appl. 5, No. 4, 745-751 (2002). MSC: 51M16 × Cite Format Result Cite Review PDF Full Text: DOI
Lassak, Marek Approximation of convex bodies by axially symmetric bodies. (English) Zbl 1007.52001 Proc. Am. Math. Soc. 130, No. 10, 3075-3084 (2002); erratum ibid. 131, No. 7, 2301 (2003). MSC: 52A27 52A10 × Cite Format Result Cite Review PDF Full Text: DOI
Long, Yiming; Sun, Shanzhong Four-body central configurations with some equal masses. (English) Zbl 1033.70004 Arch. Ration. Mech. Anal. 162, No. 1, 25-44 (2002). MSC: 70F10 × Cite Format Result Cite Review PDF Full Text: DOI
Suzuki, Fukuzo An equilateral triangle with sides through the vertices of an isosceles triangle. (English) Zbl 1026.51010 Math. Mag. 74, No. 4, 304-310 (2001). MSC: 51M04 × Cite Format Result Cite Review PDF Full Text: DOI
Satnoianu, Razvan Alin A general method for establishing geometric inequalities in a triangle. (English) Zbl 0981.51019 Am. Math. Mon. 108, No. 4, 360-364 (2001). Reviewer: Horst Martini (Chemnitz) MSC: 51M04 51M16 × Cite Format Result Cite Review PDF Full Text: DOI
Finta, Béla Characterization of the isosceles and the equilateral triangle by algebraic relations. (English) Zbl 0996.51004 Ann. Univ. Sci. Budap. Rolando Eőtvős, Sect. Math. 43, 49-60 (2000). Reviewer: Milica Stojanovic (Beograd) MSC: 51M04 51M20 × Cite Format Result Cite Review PDF
Ushakov, R. P. On a problem from mathematical folklore. (Ukrainian) Zbl 0972.51009 Sviti Mat. 5, No. 4, 63-66 (1999). Reviewer: A.Ya.Olenko (Kyïv) MSC: 51M04 × Cite Format Result Cite Review PDF
Čerin, Zvonko; Gianella, Gian Mario Regular hexagons from isocentroidal triangles. (English) Zbl 0947.51019 Far East J. Math. Sci. (FJMS) 1, No. 3, 391-410 (1999). Reviewer: Horst Martini (Chemnitz) MSC: 51N20 51M04 × Cite Format Result Cite Review PDF
Čerin, Zvonko Triangles from areas. (English) Zbl 0930.51016 Math. Inequal. Appl. 2, No. 1, 151-163 (1999). Reviewer: Richard Koch (München) MSC: 51M16 51M04 52A40 51N20 × Cite Format Result Cite Review PDF
Čerin, Zvonko Triangles from central points. (English) Zbl 0940.51013 KoG 2, 23-28 (1997). Reviewer: Richard Koch (München) MSC: 51M04 51M16 × Cite Format Result Cite Review PDF
van Yzeren, J. Equality of bisectors, an intriguing property. (English) Zbl 0937.51012 Nieuw Arch. Wiskd., IV. Ser. 15, No. 1-2, 63-71 (1997). Reviewer: Serguey M.Pokas (Odessa) MSC: 51M04 × Cite Format Result Cite Review PDF
Liboff, Richard L. Classical irreversibility and mapping of the isosceles triangle billiard. (English) Zbl 0846.70013 Int. J. Theor. Phys. 35, No. 1, 189-198 (1996). MSC: 70F35 × Cite Format Result Cite Review PDF Full Text: DOI
Parry, C. F. Steiner-Lehmus and the Feuerbach triangles. (English) Zbl 0847.51018 Math. Gaz. 79, No. 485, 275-285 (1995). Reviewer: H.Havlicek (Wien) MSC: 51M04 51M15 51N05 × Cite Format Result Cite Review PDF Full Text: DOI
Machado, Armando Nineteen problems on elementary geometry. (English) Zbl 0815.51014 Math. Intell. 17, No. 1, 17-19 (1995). Reviewer: R.Koch (München) MSC: 51M04 × Cite Format Result Cite Review PDF Full Text: DOI
Sagan, Hans Approximating polygons for the Sierpiński-Knopp curve. (English) Zbl 0778.28006 Bull. Pol. Acad. Sci., Math. 40, No. 1, 19-29 (1992). Reviewer: H.Haase (Greifswald) MSC: 28A80 26A30 65D17 × Cite Format Result Cite Review PDF
Dubrovskij, V. V.; Kunakova, E. Yu. The formula of the first regularized trace of a power of the Laplace operator on a triangle. (Russian) Zbl 0823.47047 Differ. Uravn. 28, No. 7, 1274-1276 (1992). MSC: 47F05 47A60 47B10 35J05 × Cite Format Result Cite Review PDF
Erdős, Paul; Komjáth, P. Countable decompositions of \({\mathbb{R}}^2\) and \({\mathbb{R}}^3\). (English) Zbl 0723.52005 Discrete Comput. Geom. 5, No. 4, 325-331 (1990); corrigendum ibid. 71, No. 3, 1165 (2024). Reviewer: E.J.F.Primrose (Leicester) MSC: 52C10 51M15 × Cite Format Result Cite Review PDF Full Text: DOI
Fabrikant, V. I. Analytical approach to some non-classical elastic contact and crack problems. (English) Zbl 0738.73065 Z. Angew. Math. Mech. 69, No. 11, 415-418 (1989). MSC: 74A55 74M15 74R99 × Cite Format Result Cite Review PDF Full Text: DOI
Chilap, A. Ya. Determining the tensile stress distribution in suspended members. (English. Russian original) Zbl 0677.73019 J. Sov. Math. 46, No. 6, 2208-2212 (1989); translation from Issled. Prikl. Mat. 9, 63-67 (1981). MSC: 74S30 74K99 91A35 91A05 74G70 × Cite Format Result Cite Review PDF Full Text: DOI
Aksënov, G. D. A particular satellite instance of the general three-body problem. (English. Russian original) Zbl 0666.70009 Sov. Astron. 32, No. 5, 574-577 (1988); translation from Astron. Zh. 65, No. 5, 1099-1104 (1988). MSC: 70F07 70M20 × Cite Format Result Cite Review PDF
Aksënov, E. P. On a satellite version of the general three-body problem. (Russian. English summary) Zbl 0653.70011 Astron. Zh. 65, No. 5, 1099-1104 (1988). MSC: 70F07 70M20 × Cite Format Result Cite Review PDF
Meyer, Kenneth R.; Schmidt, Dieter S. Bifurcations of relative equilibria in the 4- and 5-body problem. (English) Zbl 0652.70009 Ergodic Theory Dyn. Syst. (Charles Conley Mem. Vol.) 8, 215-225 (1988). MSC: 70F10 × Cite Format Result Cite Review PDF Full Text: DOI
Das, T.; Sircar, R. Vibration of rectilinear plates on Vlasov’s foundation at large amplitude. (English) Zbl 0588.73105 Acta Mech. 61, 217-225 (1986). MSC: 74H45 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Moeckel, R. Heteroclinic phenomena in the isosceles three-body-problem. (English) Zbl 0593.70009 SIAM J. Math. Anal. 15, 857-876 (1984). Reviewer: S.G.Zhuravlev MSC: 70F07 37J45 34C25 37N05 70F35 × Cite Format Result Cite Review PDF Full Text: DOI
Bogdanov, R. I.; Samarov, K. L. Topology of the constant-energy manifolds of the isosceles three-body problem. (English. Russian original) Zbl 0512.70013 Sov. Math., Dokl. 26, 42-45 (1982); translation from Dokl. Akad. Nauk SSSR 265, 265-268 (1982). MSC: 70F07 70G10 70H05 37J99 × Cite Format Result Cite Review PDF