# Geometry

## 1204 Submissions

[3] **viXra:1204.0097 [pdf]**
*submitted on 2012-04-27 09:27:47*

### Quasi-Isogonal Cevians

**Authors:** Ion Patrascu, Florentin Smarandache

**Comments:** 3 Pages.

In this article we will introduce the quasi-isogonal Cevians and we’ll emphasize on
triangles in which the height and the median are quasi-isogonal Cevians.

**Category:** Geometry

[2] **viXra:1204.0096 [pdf]**
*submitted on 2012-04-27 09:29:37*

### Another Proof of the I. Pătraşcu’s Theorem

**Authors:** Florentin Smarandache

**Comments:** 2 Pages.

In [1] professor Ion Pătraşcu proves the following theorem:
The Brocard’s point of an isosceles triangle is the intersection of the medians and the
perpendicular bisectors constructed from the vertexes of the triangle’s base, and reciprocal.
We’ll provide below a different proof of this theorem than the proof given in [1] and [2].

**Category:** Geometry

[1] **viXra:1204.0016 [pdf]**
*replaced on 2013-02-24 19:54:30*

### Equidistant Curve Coordinate System(3 Dimensions(3), Inversions(2), Pseudo-Sphere)

**Authors:** Morio Kikuchi

**Comments:** 8 Pages.

A constant of length in an orthogonal sphere agrees with a constant of length in a plane which passes through origin.

**Category:** Geometry