Results 21 to 30 of about 53 (42)

Sur des Points de Gergonne et de Nagel d’un Tétraèdre

The Mathematical Gazette, 1949
Introduction . De nombreuses analogies entre les propriétés du triangle et du tétraèdre ont déjà été signalées qui concernent des points, des droites, des cercles et des sphères remarquables associés à ces deux configurations.
openaire   +1 more source

Gergonne and Nagel points for simplices in the \(n\)-dimensional space

Journal for Geometry and Graphics, 2000
Many propositions referring to triangles and corresponding special-objects can be easily transferred to a tetrahedral. In search of analogies very interesting problems arise. Let \(A_1A_2A_3A_4\) be a tetrahedron and let \(S\) be the sphere inscribed into this tetrahedron. Besides let \(B_i\) be the point in which the face opposite to corner \(A_i\) \((
Koźniewski, Edwin, Renata A. Górska
openaire   +2 more sources

On Gergonne Point of the Triangle in the Isotropic Plane,

2006
Using the standard position of the allowable triangle in the isotropic plane relationships between this triangle and its contact and tangential triangle are studied. Thereby different properties of the symmedian center, the Gergonne point, the Lemoine line and the de Longchamps line of these triangles are obtained.
Volenec, Vladimir, Kolar Begović, Zdenka, Kolar-Šuper, Ružica   +2 more
openaire  

On Gergonne Point of the Triangle in Isotropic Plane

2006
Using the standard position of the allowable triangle in the isotropic plane relationships between this triangle and its contact and tangential triangle are studied. Thereby different properties of the symmedian center, the Gergonne point, the Lemoine line and the de Longchamps line of these triangles are obtained.
Kolar-Šuper, Ružica, Beban-Brkić, Jelka, Kolar Begović, Zdenka   +2 more
openaire  

The Euler-Gergonne-Soddy Triangle of a Triangle

American Mathematical Monthly, 1996
Adrian Oldknow
exaly   +2 more sources

The Gergonne and Nagel centers of a tetrahedron

Journal of Geometry, 2002
Mowaffaq Hajja
exaly  

The Gergonne and Nagel centers of an n-dimensional simplex

Journal of Geometry, 2005
Mowaffaq Hajja
exaly  

Gergonne's 1815 paper on the design and analysis of polynomial regression experiments

Historia Mathematica, 1974
Yousri Slaoui
exaly  

The anonymous professor gergonne

Historia Mathematica, 1976
Yousri Slaoui
exaly  

Extended Gergonne Syllogisms

Journal of Philosophical Logic, 1997
Fred Johnson
exaly