Results 11 to 20 of about 78,818 (258)
Curves Related to the Gergonne Point in an Isotropic Plane
Mathematics, 2023 The notion of the Gergonne point of a triangle in the Euclidean plane is very well known, and the study of them in the isotropic setting has already appeared earlier.
Ema Jurkin, Marija Šimić Horvath
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Gob’s Circles of a Triangle in the Isotropic Plane [PDF]
Journal of Mathematics, 2021 In this paper, we consider Gob’s circles of an allowable triangle in the isotropic plane and derive their equations in the case of a standard triangle. We prove that the potential axes of the circumscribed circle and Gob’s circles are the angle bisectors
Ružica Kolar-Šuper
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On Some Properties of the First Brocard Triangle in the Isotropic Plane
Mathematics, 2022 In this paper we introduce the first Brocard triangle of an allowable triangle in the isotropic plane and derive the coordinates of its vertices in the case of a standard triangle.
Vladimir Volenec +2 more
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APOLLONIUS CIRCLES OF THE TRIANGLE IN AN ISOTROPIC PLANE
Taiwanese Journal of Mathematics, 2008 The concept of Apollonius circle and Apollonius axes of an allowable triangle in an isotropic plane will be introduced. Some statements about relationships between introduced concepts and some other previously studied geometric concepts about triangle will be investigated in an isotropic plane and some analogies with the Euclidean case will be also ...
Vladimir Volenec
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Morley’s triangles of a triangle in the isotropic plane
Journal of GeometryMorley's trisector theorem is one of the most intriguing results of elementary triangle geometry. Adjacent trisectors of interior triangle angles intersect in three points of an equilateral triangle. Taking into account the ambiguity when considering angle trisectors of pairs of lines one can extend this result to a more complete picture with 18 ...
Vladimir Volenec, Ruzica Kolar-Šuper
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A Macroscopic Strength Criterion for Isotropic Metals Based on the Concept of Fracture Plane
Metals, 2019 Although the linear Mohr−Coulomb criterion is frequently applied to predict the failure of brittle materials such as cast iron, it can be used for ductile metals too.
Jiefei Gu, Puhui Chen, Ke Li, Lei Su
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Hamilton Triangle of a Triangle in the Isotropic Plane [PDF]
Mathematica Pannonica, 2022 In this paper we introduce the concept of the Hamilton triangle of a given triangle in an isotropic plane and investigate a number of important properties of this concept. We prove that the Hamilton triangle is homological with the observed triangle and with its contact and complementary triangles. We also consider some interesting statements about the
Kolar-Begović, Zdenka +1 more
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Harmonic quadrangle in isotropic plane [PDF]
TURKISH JOURNAL OF MATHEMATICS, 2018 The concept of the harmonic quadrangle and the associated Brocard points are introduced and investigated in the isotropic plane by employing suitable analytic methods.
Jurkin, Ema +3 more
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Journal of Applied Mathematics, 2023 In order to consider the effect of anisotropy of soil around the pile on the lateral vibration of pile groups, the soil around the pile is regarded as a transversely isotropic medium, and a lateral dynamic interaction model of pile-pile in transversely ...
Linchao Liu, Qifang Yan
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Nanomaterials, 2022 The use of graphene in surface plasmon resonance sensors, covering a metallic (plasmonic) film, has a number of demonstrated advantages, such as protecting the film against corrosion/oxidation and facilitating the introduction of functional groups for ...
Aline dos Santos Almeida +3 more
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