Results 221 to 230 of about 87,095 (251)

On Foci and Asymptotes of Conics in the Isotropic Plane

Sarajevo Journal of Mathematics
The paper shows that every conic with foci in the isotropic plane can be represented by the equation of the form $y^2=\epsilon x^2+x$, where $\epsilon \in \{-1, 0, 1\}$ for an ellipse, a parabola and a hyperbola with foci respectively. Using this equation some important properties of the foci are proved.
Beban-Brkić, Jelka, Šimić Horvath, Marija, Volenec, Vladimir   +2 more
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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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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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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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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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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
openaire   +1 more source

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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Curvature of the Focal Conic in the Isotropic Plane

Sarajevo Journal of Mathematics
It is shown in \cite{beba} that every focal conic $\mathcal{C}$ in the isotropic plane can be represented by the equation $y^2=\epsilon x^2+x$, $\epsilon \in \{-1,0,1\}$ and a parametrization. This paper gives the equation of the circle of curvature at the point $T$ of the focal conic $\mathcal{C}$.
Beban-Brkić, Jelka, Volenec, Vladimir, Šimić Horvath, Marija   +2 more
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