Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Heronian triangle"'
Publikováno v:
Lietuvos Matematikos Rinkinys, Vol 59, Iss B (2018)
The problem of existence of rational cuboids is considered in the article. Equivalent statements of this problem are obtained which lead to the existence of Heron’s triangles whose lengths are integral squares and satisfy other additional condition
Externí odkaz:
https://doaj.org/article/0513cb52b1b14bcb9cb7ad15d75a54cc
Autor:
Stan Dolan
Publikováno v:
The Mathematical Gazette. 104:193-208
Heronian triangles are triangles with integer sides and area. In [1], a classical result about squares in arithmetic progression was obtained by proving that it is not possible for the altitude of a Heronian triangle to divide the base in the ratio o
Publikováno v:
Lietuvos Matematikos Rinkinys, Vol 60, Iss B (2019)
Lietuvos matematikos rinkinys, Vilnius : Vilniaus universiteto leidykla, 2019, t. 60, Ser. B, p. 34-38
Lietuvos matematikos rinkinys, Vilnius : Vilniaus universiteto leidykla, 2019, t. 60, Ser. B, p. 34-38
We study the connection of Heronian triangles with the problem of the existence of rational cuboids. It is proved that the existence of a rational cuboid is equivalent to the existence of a rectangular tetrahedron, which all sides are rational and th
Publikováno v:
Lietuvos Matematikos Rinkinys, Vol 59, Iss B (2018)
Lietuvos matematikos rinkinys: Lietuvos matematikų draugijos darbai. Serija B, Vilnius : Vilniaus universitetas, 2018, t. 59, p. 61-66
Lietuvos matematikos rinkinys: Lietuvos matematikų draugijos darbai. Serija B, Vilnius : Vilniaus universitetas, 2018, t. 59, p. 61-66
The problem of existence of rational cuboids is considered in the article. Equivalent statements ofthis problem are obtained which lead to the existence of Heron’s triangles whose lengths are integralsquares and satisfy other additional conditions.
Publikováno v:
Discrete & Computational Geometry. 56:693-710
Let $$\mathcal {M}$$M be a finite non-collinear set of points in the Euclidean plane, with the squared distance between each pair of points integral. Considering the points as lying in the complex plane, there is at most one positive square-free inte
Autor:
Silva, Henri Flávio da
Publikováno v:
Repositório Institucional da UFABCUniversidade Federal do ABCUFABC.
Orientador: Prof. Dr. Márcio Fabiano da Silva
Dissertação (mestrado) - Universidade Federal do ABC, Programa de Pós-Graduação em Mestrado Profissional em Matemática em Rede Nacional, 2017.
Neste trabalho,apresentamos um estudos obre
Dissertação (mestrado) - Universidade Federal do ABC, Programa de Pós-Graduação em Mestrado Profissional em Matemática em Rede Nacional, 2017.
Neste trabalho,apresentamos um estudos obre
Autor:
Yiğit, Hatice Kübra
Bu tez sekiz bölümden ve bu bölümler de kendi içerisinde alt bölümlerden oluşmuştur. Birinci bölümde; Heron üçgenleri ile ilgili geçmişte yapılan araştırmalar, temel tanım ve teoremler verildi.İkinci bölümde; Heron alan formül
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_____10208::511e4c854e680f9d709820c5ce369f4a
https://acikbilim.yok.gov.tr/handle/20.500.12812/453355
https://acikbilim.yok.gov.tr/handle/20.500.12812/453355
Autor:
Artūras Dubickas
Publikováno v:
Mediterranean Journal of Mathematics. 9:95-103
We prove that every set of n ≥ 3 points in \({\mathbb{R}^2}\) can be slightly perturbed to a set of n points in \({\mathbb{Q}^2}\) so that at least 3(n − 2) of mutual distances between those new points are rational numbers. Some special rational
Autor:
S. Sh. Kozhegel'dinov
Publikováno v:
Mathematical Notes. 88:696-700
We study the properties of pairs of triangles with integer sides whose common area is the square of a natural number.
Autor:
Yavuz Eşen, Yasemin
Bu çalışmada ilk olarak, ?,ß,? kenarlı bir ABC üçgeninin kenar uzunluklarına bağlı olarak ??, ?ß, ?? yarıçaplarının alternatif basit formülleri bulundu. Bunu yaparken, kosinüs teoremi ve trigonometrik özdeşlikler kullanıldı. Sonr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_____10208::f5f7d2d5dba6fb1a752b5b70ebf84251
https://acikbilim.yok.gov.tr/handle/20.500.12812/438878
https://acikbilim.yok.gov.tr/handle/20.500.12812/438878