Results 231 to 240 of about 78,818 (258)

Dual Feuerbach Theorem in an Isotropic Plane

Sarajevo Journal of Mathematics
The dual Feuerbach theorem for an allowable triangle in an isotropic plane is proved analytically by means of the so-called standard triangle. A number of statements about relationships between some concepts of the triangle and their dual concepts are also proved.
Kolar Begović, Zdenka, Volenec, Vladimir, Kolar-Šuper, Ružica   +2 more
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The Cyclic Quadrangle in the Isotropic Plane

Sarajevo Journal of Mathematics
In [15], [2] we focused on the geometry of the non-tangential quadrilateral and in [3], [14] we turned our attention to the non-cyclic quadrangle in the isotropic plane. This paper gives some of the results concerning the geometry of a cyclic quadrangle in the isotropic plane. A cyclic quadrangle is called standard if a circle with the equation y = x 2
V. Volenec, J. Beban-Brkić, M. Šimć
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Symplectic Bifurcations of Plane Curves and Isotropic Liftings

The Quarterly Journal of Mathematics, 2003
The authors consider a symplectic bifurcation problem of curves. It is given by a map-germ \(F:(\mathbb R^{n-k+1},0)\rightarrow (T^{\ast}\mathbb R^k \times \mathbb R^{n-k},0)\). The germ \(F\) is called transverse if \(F\) is transverse to \(T^{\ast}\mathbb R^k \times \{0\}\) at \(0\).
Janeczko, S., Ishikawa, G.
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Snails in Isotropic Plane

G. Slovenský časopis pre geometriu a grafiku, 2011
The properties of the limaçon of Pascal in the Euclidean plane are well known. The aim of this paper is to obtain the curves in the isotropic plane having the similar properties. These curves are named isotropic snails and defined as the circle pedal curves.
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Plane Waves in a Transparent Isotropic Chiral Medium

Russian Physics Journal, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Cyclic Quadrangle in the Isotropic Plane

2015
This presentation gives some of the results concerning the geometry of a cyclic quadrangle in the isotropic plane. A cyclic quadrangle is called standard if a circle with the equation y = x^2 is circumscribed to it. In order to prove geometric facts for each cyclic quadrangle, it is sufficient to give a proof for the standard quadrangle.
Šimić Horvath, Marija, Volenec, Vladimir, Beban- Brkić Jelena   +2 more
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Kiepert triangles in an isotropic plane

2011
In 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, Kolar-Šuper, Ružica   +1 more
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Cyclic Quadrangle in the Isotropic Plane

Sarajevo journal of mathematics, 2011
This paper gives some of the results concerning the geometry of a cyclic quadrangle in the isotropic plane. A cyclic quadrangle is called standard if a circle with the equation y = x^2 is circumscribed to it. In order to prove geometric facts for each cyclic quadrangle, it is sufficient to give a proof for the standard quadrangle.
Beban-Brkić, Jelka, Volenec, Vladimir, Šimić Horvath, Marija   +2 more
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Relationship of stress intensity factors for plane cracks in isotropic and transversally isotropic media

Journal of Mathematical Sciences, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Harmonic Quadrangle in the Isotropic Plane

2016
In this talk we present several results concerning the geometry of the harmonic quadrangle in the isotropic plane. We consider the standard cyclic quadrangle with the circumscribed circle given by y = x^2 and vertices are chosen to be A = (a, a^2), B = (b, b^2), C = (c, c^2), and D = (d, d^2), with a, b, c, d being mutually diff erent real numbers ...
Šimić Horvath, Marija, Volenec, Vladimir, Jurkin, Ema, Beban-Brkić, Jelka   +3 more
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