In and ex spheres of a tetrahedron. (English) Zbl 07924679
MSC:
51M04
Found 102 Documents (Results 1–100)
Circumcenter extension of Moebius maps to \(\mathrm{CAT}(-1)\) spaces. (Extension circoncentre des applications Moebius aux \(\mathrm{CAT}(-1)\) espaces.) (English. French summary) Zbl 07852655
Reviewer: Merlin Incerti-Medici (Wien)
MSC:
51F30
Central and twin tetrahedra. (English) Zbl 1536.51009
MSC:
51M04
Locus curves in triangle families. (English) Zbl 1535.51017
Reviewer: Cătălin Barbu (Bačau)
Borsuk’s problem, Boltyanski’s illumination problem, and circumradius. (English) Zbl 07743993
Reviewer: Marek Lassak (Bydgoszcz)
MSC:
52C17
Geometry of infinite dimensional unitary groups: convexity and fixed points. (English) Zbl 1532.58001
Bregman circumcenters: monotonicity and forward weak convergence. (English) Zbl 1518.90124
Reviewer: Ctirad Matonoha (Praha)
Computable centering methods for spiraling algorithms and their duals, with motivations from the theory of Lyapunov functions. (English) Zbl 1518.90077
Using the intermediate value theorem to circumscribe hyperbolic triangles. (English) Zbl 1497.51008
Reviewer: Hans-Peter Schröcker (Innsbruck)
MSC:
51M09
Properties of the Kiss-Bíró configuration. (English) Zbl 1481.51015
Reviewer: Victor V. Pambuccian (Glendale)
More about areas and centers of Poncelet polygons. (English) Zbl 1482.51016
Reviewer: Cătălin Barbu (Bačau)
MSC:
51M25
Radius, diameter, incenter, circumcenter, width and minimum enclosing cylinder for some polyhedral distance functions. (English) Zbl 1484.65041
Reviewer: Ctirad Matonoha (Praha)
On the circumcentered-reflection method for the convex feasibility problem. (English) Zbl 1460.49023
Concurrence of tetrahedral cevians associated with triangle centers. (English) Zbl 1442.52008
Reviewer: Boumédiène Et-Taoui (Mulhouse)
Duality of isosceles tetrahedra. (English) Zbl 1430.51027
Reviewer: Et-Taoui, Boumédiène (Lutterbach)
MSC:
51M20
Radius, diameter, incenter, circumcenter, width and minimum enclosing cylinder for some polyhedral distance functions. (English) Zbl 1497.68522
Panda, B. S. (ed.) et al., Algorithms and discrete applied mathematics. 4th international conference, CALDAM 2018, Guwahati, India, February 15–17, 2018. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10743, 283-300 (2018).
Numerical electromagnetic frequency domain analysis with discrete exterior calculus. (English) Zbl 1380.78015
The periambic constellation: altitudes, perpendicular bisectors, and other radical axes in a triangle. (English) Zbl 1381.51010
Observations on circumcenters in normed planes. (English) Zbl 1387.52005
Reviewer: Norbert Knarr (Stuttgart)
Projective geometry in relation to the excircles. (English) Zbl 1387.51020
Reviewer: Robert W. van der Waall (Amsterdam)
Central axes and peripheral points in high dimensional directional datasets. (English) Zbl 1395.90198
A quadrilateral half-turn theorem. (English) Zbl 1341.51021
MSC:
51M04
An improvement of Bîrsan’s inequalities for the sides of a triangle. (English) Zbl 1335.51026
MSC:
51M16
Hyperbolic is the only Hilbert geometry having circumcenter or orthocenter generally. (English) Zbl 1336.53022
Reviewer: Johannes Böhm (Jena)
More characterizations of certain special families of simplices. (English) Zbl 1335.52024
Reviewer: Agota H. Temesvári (Pécs)
Triangle centers as functions. (Slovenian. English summary) Zbl 1367.51014
MSC:
51M04
A synthetic proof of A. Myakishev’s generalization of van Lamoen circle theorem and an application. (English) Zbl 1358.51010
Reviewer: Robert W. van der Waall (Huizen)
On two triads of triangles associated with the perpendicular bisectors of the sides of a triangle. (English) Zbl 1310.51015
Reviewer: Mowaffaq Hajja (Irbid)
MSC:
51M04
On highly eccentric cones. (English) Zbl 1305.52009
Reviewer: Rolf Schneider (Freiburg i. Br.)
A purely synthetic proof of Dao’s theorem on six circumcenters associated with a cyclic hexagon. (English) Zbl 1302.51010
Reviewer: Mowaffaq Hajja (Irbid)
MSC:
51M04
Dao’s theorem on six circumcenters associated with a cyclic hexagon. (English) Zbl 1301.51017
Reviewer: Mowaffaq Hajja (Irbid)
MSC:
51M04
Centers of sets with symmetry or cyclicity properties. (English) Zbl 1317.15031
Reviewer: Bojan Kuzma (Ljubljana)
Some remarks on the circumcenter of mass. (English) Zbl 1301.51022
Reviewer: Gabriela Cristescu (Arad)
Circumcenter of mass and generalized Euler line. (English) Zbl 1301.51023
Reviewer: Gabriela Cristescu (Arad)
Lipschitz and Hölder continuity results for some functions of cones. (English) Zbl 1303.26015
Reviewer: Sorin-Mihai Grad (Chemnitz)
The Miquel points, pseudocircumcenter, and Euler-Poncelet point of a complete quadrilateral. (English) Zbl 1297.51004
MSC:
51M04
Quasi-circumcenters and a generalization of the quasi-Euler line to a hexagon. (English) Zbl 1297.51006
Reviewer: Mowaffaq Hajja (Amman)
MSC:
51M04
A geometric inequality with one parameter for a point in the plane of a triangle. (English) Zbl 1301.51026
Reviewer: Mowaffaq Hajja (Irbid)
Distances between the circumcenter of the extouch triangle and the classical centers of a triangle. (English) Zbl 1287.51010
MSC:
51M04
Ranking fuzzy numbers with an area method using circumcenter of centroids. (English) Zbl 1430.03067
MSC:
03E72
Concurrency of the altitudes of a triangle. (English) Zbl 1291.51012
Reviewer: Antonio M. Oller (Zaragoza)
On the circumradius of a special class of \(n\)-simplices. (English) Zbl 1259.52007
Reviewer: Dimitris P. Vartziotis (Ioannina)
Universal hyperbolic geometry. III: First steps in projective triangle geometry. (English) Zbl 1262.51016
Well-centeredness of pentahedron and pyramidisation of simple 3D shapes with P-well-centered pentahedra. (English) Zbl 1250.52002
Equimodular polynomials and the tritangency theorems of Euler, Feuerbach, and Guinand. (English) Zbl 1215.51006
Reviewer: Antonio M. Oller (Zaragoza)
MSC:
51M04
Bidimensional modeling for incompressible viscous flow using the circumcenter based approach in an unstructured grid. (English) Zbl 1296.76096
Rahman, M. (ed.) et al., Advances in fluid mechanics VIII. Papers based on the presentations at the 8th international conference, Algarve, Portugal, September 15–17, 2010. Southampton: WIT Press (ISBN 978-1-84564-476-5/hbk; 978-1-84564-477-2/ebook). WIT Transactions on Engineering Sciences 69, 115-125 (2010).
The finite volume element method for hyperbolic equation based on circumcenter dual subdivisions. (Chinese. English summary) Zbl 1225.65088
Inradius and circumradius of various convex cones arising in applications. (English) Zbl 1217.46047
Reviewer: S. S. Kutateladze (Novosibirsk)
Biological diversity: distinct distributions can lead to the maximization of Rao’s quadratic entropy. (English) Zbl 1211.92065
Triangles with coordinates of vertices from Pell and Pell-Lucas numbers. (English) Zbl 1435.11031
Stoka, Marius I. (ed.) et al., Proceedings of the VI international conference of stochastic geometry, convex bodies, empirical measures and applications to mechanics and engineering of train-transport, Milazzo (Messina), Italy, May 27 – June 03, 2007. Palermo: Circolo Matematico di Palermo. Suppl. Rend. Circ. Mat. Palermo (2) 80, 65-73 (2008).
A new line associated with the triangle. (English) Zbl 1390.51010
MSC:
51M04
Conic solution of Euler’s triangle determination problem. (English) Zbl 1161.51007
Reviewer: Georgi Hristov Georgiev (Shumen)
New extensions of Napoleon’s theorem to higher dimensions. (English) Zbl 1142.51015
Reviewer: Victor V. Pambuccian (Dortmund)
The Feuerbach circle and orthocentricity in normed places. (English) Zbl 1144.52001
Reviewer: Rolf Riesinger (Wien)
Inequalities for the incenter simplices. (English) Zbl 1123.52004
Reviewer: Horst Martini (Chemnitz)
Euler’s triangle determination problem. (English) Zbl 1122.51016
Reviewer: Victor V. Pambuccian (Dortmund)
MSC:
51M04
On iterative processes generating dense point sets. (English) Zbl 1121.52015
Reviewer: Mireca Balaj (Oradea)
Six-point circles from a triangle. (English) Zbl 1112.51004
Reviewer: Mowaffaq Hajja (Irbid)
MSC:
51M04
Coincidences of simplex centers and related facial structures. (English) Zbl 1093.51014
Reviewer: Herbert Hotje (Hannover)
Triangle centers with linear intercepts and linear subangles. (English) Zbl 1074.51008
Reviewer: Erhard Quaisser (Potsdam)
The generalized sine law and some inequalities for simplices. (English) Zbl 1080.52008
Reviewer: Horst Martini (Chemnitz)
Analogues of the nine-point circle for orthocentric \(n\)-simplexes. (English) Zbl 1068.51022
Reviewer: Horst Martini (Chemnitz)
The vertex-midpoint-centroid triangles. (English) Zbl 1077.51004
Reviewer: R. W. van der Waall (Amsterdam)
MSC:
51M04
On the intercepts of the {\(OI\)}-line. (English) Zbl 1076.51505
Reviewer: T. Thrivikraman (Cochin)
MSC:
51M04
A inequality for two simplices and two points. (English) Zbl 1075.52007
Reviewer: Horst Martini (Chemnitz)
Circumcenters of residual triangles. (English) Zbl 1069.51012
Reviewer: Mowaffaq Hajja (Irbid)
MSC:
51M04
Gaspard Monge and the Monge point of the tetrahedron. (English) Zbl 1054.52006
Reviewer: Horst Martini (Chemnitz)
Paper-folding and Euler’s theorem revisited. (English) Zbl 1029.51023
Reviewer: Sándor Fekete (Braunschweig)
MSC:
51M15
A weighted Erdős-Mordell inequality. (English) Zbl 1008.51023
Reviewer: Salvador Gomis (Alicante)
Inequalities for a simplex and an interior point. (English) Zbl 0990.51009
Reviewer: Horst Martini (Chemnitz)
The Lucas circles of a triangle. (English) Zbl 0981.51018
Reviewer: Horst Martini (Chemnitz)
MSC:
51M04
Inequalities for two simplices. (English) Zbl 0964.51019
Reviewer: Horst Martini (Chemnitz)
MSC:
51M16
Euler: The master of us all. (English) Zbl 0951.01012
The Dolciani Mathematical Expositions. 22. Washington, DC: The Mathematical Association of America. xxviii, 185 p. (1999).
Reviewer: M.P.Moklyachuk (Kyïv)
Triangles from central points. (English) Zbl 0940.51013
Reviewer: Richard Koch (München)
A generalized dual of Napoleon’s theorem and some further extensions. (English) Zbl 0879.51009
Reviewer: H.Martini (Chemnitz)
MSC:
51M04
Triangle centers as functions. (English) Zbl 0803.51017
Reviewer: R.Koch (München)
MSC:
51M04
A short proof of a theorem of Erdős and Mordell. (English) Zbl 0778.52010
Reviewer: H.-D.Hecker (Jena)
MSC:
52C10
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