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3 742 (0,076s)

Výsledek výzkumu

Simson-Wallace Theorem and its Generalization

The generalization of Simson-Wallace Theorem into the space is given with the help of computer algebra approach.

BA - Obecná matematika

  • 2004
  • D
Výsledek výzkumu

Generalizations of Simson-Wallace theorem

Generalization of Simson - Wallace theorem into the space on the base of Groebner bases computation is given.

BA - Obecná matematika

  • 2004
  • D
Výsledek výzkumu

On the Simson-Wallace theorem

The paper deals with the well-known Simson-Wallace theorem and its Gergonne's generalization. In this article we proceed with the generalization of the Simson--Wallace theorem a bit further. We in...

BA - Obecná matematika

  • 2013
  • Jx
Výsledek výzkumu

On the Simson-Wallace Theorem and its Generalizations

Simson-Wallace Theorem is generalized into three dimensional space, both with respect to a tetrahedron and to a skew quadrilateral. The equations of respective cubic surfaces are derived....

BA - Obecná matematika

  • 2005
  • Jx
Výsledek výzkumu

The Simson-Wallace Locus in Plane and Space

: In the paper several theorems related to the well-known Simson-Wallace theorem are given. Some properties of the nine-point circle and circumcircle of a given triangle are investigated. Further the relation betwe...

BA - Obecná matematika

  • 2014
  • Jx
  • Odkaz
Výsledek výzkumu

Generalization of SimsonWallace theorem: planar and spatial formulation

The paper studies a problem that represents a natural spatial generalization of the well-known SimsonWallace theorem: Let four skew lines parallel to a fixed plane be given. Determine the locus of the point P in space so t...

Pure mathematics

  • 2023
  • Jimp
  • Odkaz
Výsledek výzkumu

Generalization of SimsonWallace theorem: planar and spatial formulation

The paper studies a problem that represents a natural spatial generalization of the well-known SimsonWallace theorem: Let four skew lines parallel to a fixed plane be given. Determine the locus of the point P in space so t...

Education, general; including training, pedagogy, didactics [and education systems]

  • 2023
  • JSC
  • Odkaz
Výsledek výzkumu

A Spatial Generalization of WallaceSimson Theorem on Four Lines

Motivation to this problem arose from the WallaceSimson theorem which states generalization of the WallaceSimson theorem might be as follows: Determine the locus to the planar one. Finally, we s...

Applied mathematics

  • 2021
  • D
  • Odkaz
Výsledek výzkumu

Properties of the cubic surface related to Simson-Wallace theorem

In the text properties of a cubic surface which is related to the well-known Simson-Wallace theorem are presented. Given a skew quadrilateral then the locus of the point whose orthogonal projections onto the sides of the qu...

BA - Obecná matematika

  • 2015
  • D
Výsledek výzkumu

Simson-Wallace theorem

Two problems related to the Simson-Wallace theorem are explored. The first problem is connected with the Miquel's point which has the property that the feet of perpendiculars from this point to four lines in a plane are col...

AM - Pedagogika a školství

  • 2016
  • Jx
  • Odkaz
  • 1 - 10 z 3 742