Results 11 to 20 of about 61 (36)
On the nine-point conic of hyperbolic triangles [PDF]
In the Cayley–Klein model, we review some basic results concerning the geometry of hyperbolic triangles. We introduce a new definition of the circumcircle of a hyperbolic triangle, guaranteed to exist in every case, and describe its main properties.
Szilasi, Zoltán
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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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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 +2 more
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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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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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Non-Euclidean Triangle Centers
, 2019 Non-Euclidean triangle centers can be described using homogeneous coordinates that are proportional to the generalized sines of the directed distances of a given center from the edges of the reference triangle.
Russell, Robert A.
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, 2023 We study properties of certain circles associated with a triangle. Each circle is inside the triangle, tangent to two sides of the triangle, and externally tangent to the arc of a circle erected internally on the third ...
Rabinowitz, Stanley, Suppa, Ercole
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The loci of the important associated points of a variable triangle [PDF]
, 1955 Not ...
Allen, Leta A
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MGM 531 – Euclidean Geometry [Geometri Euklidan] Jun 2017 [PDF]
, 2017 Second Semester Examination Academic Session 2016/2017 June 2017 Duration : 3 ...
PPSM, Pusat Pengajian Sains Matematik
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