scholarly journals Covertex Inscribed Triangles of Parabola in Isotropic Plane

KoG ◽  
2019 ◽  
pp. 28-36
Author(s):  
Vladimir Volenec ◽  
Ema Jurkin ◽  
Marija Šimić Horvath
Keyword(s):  
Isotropic Plane ◽  
Triangle Centers

In the paper the concept of a covertex inscribed triangle of a parabola in an isotropic plane is introduced. It is a triangle inscribed to the parabola that has the centroid on the axis of parabola, i.e. whose circumcircle passes through the vertex of the parabola. We determine the coordinates of the triangle centers, and the equations of the lines, circles and conics related to the triangle.

A new methodology to obtain the exact solutions of isotropic plane beam subjected to arbitrary loads

2010 ◽  
Vol 37 (5) ◽  
pp. 476-483 ◽  
Author(s):  
Lang Zhang ◽  
Puyun Gao ◽  
Dongxu Li ◽  
Xue Wang
Keyword(s):  
Exact Solutions ◽  
Isotropic Plane

Bound state in a model of electromagnetic field interacting with a material plan

2020 ◽  
Vol 35 (21) ◽  
pp. 2050170
Author(s):  
Yu. M. Pismak ◽  
D. Shukhobodskaia
Keyword(s):  
Electromagnetic Field ◽  
Maxwell Equations ◽  
Singular Potential ◽  
Bound State ◽  
Material Object ◽  
Two Dimensional ◽  
Isotropic Plane ◽  
Chern Simons ◽  
Material Plane ◽  
State Of Field

In the model with Chern-Simons potential describing the coupling of electromagnetic field with a two-dimensional material, the possibility of the appearance of bound field states, vanishing at sufficiently large distances from interacting with its macro-objects, is considered. As an example of such two-dimensional material object we consider a homogeneous isotropic plane. Its interaction with electromagnetic field is described by a modified Maxwell equation with singular potential. The analysis of their solution shows that the bound state of field cannot arise without external charges and currents. In the model with currents and charges the Chern-Simons potential in the modified Maxwell equations creates bound state in the form of the electromagnetic wave propagating along the material plane with exponentially decreasing amplitude in the orthogonal to its direction.

scholarly journals Towards a Certified Version of the Encyclopedia of Triangle Centers

2016 ◽  
Vol 10 (1) ◽  
pp. 57-73 ◽  
Author(s):  
Julien Narboux ◽  
David Braun
Keyword(s):  
Triangle Centers

Triangle Center Technology

2020 ◽  
Vol 113 (3) ◽  
pp. 237-243
Author(s):  
Anne Quinn
Keyword(s):  
Dynamic Geometry ◽  
Dynamic Geometry Software ◽  
Web Based ◽  
Triangle Center ◽  
Triangle Centers

The paper discusses technology that can help students master four triangle centers -- circumcenter, incenter, orthocenter, and centroid. The technologies are a collection of web-based apps and dynamic geometry software. Through use of these technologies, multiple examples can be considered, which can lead students to generalizations about triangle centers.

scholarly journals Field of Stresses in an Isotropic Plane with Circular Inclusion under Tensile Stress

Engineering ◽  
2012 ◽  
Vol 04 (09) ◽  
pp. 583-589 ◽  
Author(s):  
Deryugin Ye Yevgeny ◽  
G. V. Lasko
Keyword(s):  
Tensile Stress ◽  
Circular Inclusion ◽  
Isotropic Plane

scholarly journals On Brocard Points of Harmonic Quadrangle in Isotropic Plane

KoG ◽  
2017 ◽  
pp. 11-18
Author(s):  
Ema Jurkin ◽  
Vladimir Volenec
Keyword(s):  
Isotropic Plane

U radu se prikazuju neki novi rezultati o Brocardovim točkama harmoničnog četverokuta u izotropnoj ravnini. Konstruiraju se novi harmonični četverokuti pridruženi danom četverokutu, te se proučavaju njihova svojstva vezana uz Brocardove točke.

Sign in / Sign up

Export Citation Format

Share Document