Geometry

1511 Submissions

[4] viXra:1511.0245 [pdf] submitted on 2015-11-24 16:21:26

The Right Scalene Triangle Problem

Authors: Rodolfo A. Frino
Comments: 7 Pages.

This paper solves the problem of the right scalene triangle through a general sequential solution. A simplified solution is also presented.
Category: Geometry

[3] viXra:1511.0212 [pdf] submitted on 2015-11-22 07:13:44

Note de Géométrie Différentielle Application de la Méthode du Repère Mobile à L'Ellipsoïde de Référence

Authors: Abdelmajid Ben Hadj Salem
Comments: 9 Pages. In French.

This note of differential geometry concerns the formulas of Elie Cartan about the differntial forms on a surface. We calculate these formulas for an ellipsoïd of revolution used in geodesy.
Category: Geometry

[2] viXra:1511.0202 [pdf] submitted on 2015-11-21 05:45:24

A Note of Differentail Geometry: Peterson Operator: an Application to the Sphere and the Ellipsoïd

Authors: Abdelmajid Ben Hadj Salem
Comments: 9 Pages. In French.

The paper concerns the Peterson operator in differentail geometry. The case of the sphere is presented as an example.
Category: Geometry

[1] viXra:1511.0182 [pdf] replaced on 2016-07-22 09:22:40

Conic and Cyclidic Sections in the G8,2 Geometric Algebra, DCGA

Authors: Robert B. Easter
Comments: 16 Pages.

The G(8,2) Geometric Algebra, also called the Double Conformal / Darboux Cyclide Geometric Algebra (DCGA), has entities that represent conic sections. DCGA also has entities that represent planar sections of Darboux cyclides, which are called cyclidic sections in this paper. This paper presents these entities and many operations on them. Operations include reflection, projection, rejection, and intersection with respect to spheres and planes. Other operations include rotation, translation, and dilation. Possible applications are introduced that include orthographic and perspective projections of conic sections onto view planes, which may be of interest in computer graphics or other computational geometry subjects.
Category: Geometry