Geometry

1204 Submissions

[2] 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

[1] 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