Results 11 to 20 of about 34 (31)
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Kiepert Triangles in an Isotropic Plane
Sarajevo Journal of MathematicsIn this paper the concept of the Kiepert triangle of an allowable triangle in an isotropic plane is introduced. The relationships between the areas and the Brocard angles of the standard triangle and its Kiepert triangle are studied. It is also proved that an allowable triangle and any of its Kiepert triangles are homologic.
Kolar-Šuper, Ružica +2 more
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Some properties of Kiepert lines of a triangle
The Mathematical Gazette, 2016This article describes an investigation into Kiepert lines, and leads to some surprising and little-known relationships between the Fermat, Napoleon and Vecten points of a triangle.If we draw similar isosceles triangles A'BC, B'CA and C'AB outwards on the sides of a given scalene triangle ABC as in Figure 1, Kiepert's theorem tells us that the lines A ...
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A journey round the triangle Lester’s circle, Kiepert’s hyperbola and a configuration from Morley
The Mathematical Gazette, 2003In a recent article [1], Ron Shail has given a Cartesian proof of an interesting theorem due to J. A. Lester. This states that, for any triangle, the circumcentre O, the nine-point centre O9 and the two Fermat points F and Fʹ, (which are the points of concurrence of the joins of its vertices to the vertices of equilateral triangles drawn outwards ...
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Kiepert triangles in an isotropic plane
2011In this lecture the concept of the Kiepert triangle of an allowable triangle in an isotropic plane will be studied. We are going to investigate the relationships between the areas and the Brocard angles of the standard triangle and its Kiepert triangle. It will also be proved that an allowable triangle and any of its Kiepert triangles are homologic. In
Kolar Begović, Zdenka +1 more
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99.09 A family of Napoleon triangles associated with the Kiepert configuration
The Mathematical Gazette, 2015openaire +1 more source
On some properties of Kiepert parabola in the isotropic plane
Rad Hrvatske Akademije Znanosti I Umjetnosti, Matematicke Znanosti, 2023Vladimir Volenec +1 more
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Subalterns and 'ghosts' behind Kiepert’s maps of the Anatolian peninsula (1830s–1890s)
Proceedings of the ICA, 2021exaly
A generalized Kiepert formula for C ab curves
Israel Journal of Mathematics, 2009Shigeki Matsutani +2 more
exaly