Results 11 to 20 of about 59 (36)

Trokuti iz Feuerbachovog trokuta [PDF]

, 2000
We prove four unusual theorems about the Feuerbach triangle A_dB_dC_d of the given triangle ABC whose vertices are points A_d, B_d, and C_d in which the excircles touch from outside the nine-point circle.
Zvonko Čerin
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An App for Visual Exploration, Discovery, and Sharing of Poncelet 3-Periodic Phenomena

, 2021
We describe a browser-based application built for the real-time visualization of the beauteous dynamic geometry of Poncelet 3-periodic families. The focus is on highly responsive, visually smooth, "live" experimentation with old and new phenomena ...
Darlan, Iverton, Reznik, Dan
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Things to do with a broken stick. [PDF]

, 2013
In this article we consider variations of a classical geometric probability question in Euclidean Geometry. Our work is tightly related to the problem of constructing a triangles given three of its elements.
Ionascu, Eugen J.
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Alternatif Kontruksi Titik Nagel [PDF]

, 2014
This paper discusses the alternative construction of Nagel point, that is the point formedby intersection of three vertices of a triangle which is connected to the points oftangency of the excircle with the opposite sides.
Mashadi, M. (Mashadi), Natsir, M. (M), Suryani, I. (Indah)   +2 more
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Upisana i pripisane kružnice trokuta [PDF]

, 2019
U ovom radu proučavali smo trokut, njemu pridružene kružnice te njihova središta. Promatrali smo sličnosti, veze i svojstva između njih. Uz četiri najpoznatije karakteristične točke trokuta: težište, ortocentar, središte trokutu upisane kružnice i ...
Bešenić, Anamarija
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Colinearidade e concorrência em olimpíadas internacionais de matemática : uma reflexão voltada para o ensino da geometria plana no Brasil [PDF]

, 2015
Dissertação (mestrado)—Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática, Programa de Mestrado Profissional em Matemática em Rede Nacional, 2015.As olimpíadas deMatemática estão cada vez mais ganhando espaço dentro das ...
Martins, Ronald Alexandre
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An extension of Mobius--Lie geometry with conformal ensembles of cycles and its implementation in a GiNaC library [PDF]

, 2018
We propose to consider ensembles of cycles (quadrics), which are interconnected through conformal-invariant geometric relations (e.g. “to be orthogonal”, “to be tangent”, etc.), as new objects in an extended Möbius–Lie geometry.
Kisil, VV
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Lectures on Möbius-Lie Geometry and its Extension [PDF]

, 2018
These lectures review the classical Möbius–Lie geometry and recent work on its extension. The latter considers ensembles of cycles (quadrics), which are interconnected through conformal-invariant geometric relations (e.g.
Kisil, V.V.
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Can the Elliptic Billiard Still Surprise Us?

, 2020
Can any secrets still be shed by that much studied, uniquely integrable, Elliptic Billiard? Starting by examining the family of 3-periodic trajectories and the loci of their Triangular Centers, one obtains a beautiful and variegated gallery of curves ...
Garcia, Ronaldo, Koiller, Jair, Reznik, Dan   +2 more
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Triangle Centers and Kiepert's Hyperbola [PDF]

, 2006
In this paper, we discuss the proofs of the primary classical triangle centers and Kiepert's Hyperbola as a solution to Lemoine's Problem. The definitions of terms which will be used throughout the paper are presented. A brief description of well-known
Baker, Charla
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