# Geometry

## 1103 Submissions

 viXra:1103.0119 [pdf] submitted on 31 Mar 2011

### The Trisection of Any Angle

Authors: Markos Georgallides

Universe is following Euclid Spaces. In Euclidean geometry points do not exist , but their position and correlation is doing geometry and physics . The universe cannot be created , because becomes and never is . According to Euclidean geometry , and since the position of points ( empty Space ) creates geometry and Spaces , the trisection of any angle exists in these Spaces and in this way. Infinite points exist always between points.
Category: Geometry

 viXra:1103.0076 [pdf] submitted on 19 Mar 2011

### Geometry: Problems of Dividing Objects. Thales`s Theorem and an Idea Which Can Arose When You Applied the Theorem, for Solving an Interesting and Simple Problem in Geometry.

Authors: Martiros Khurshudyan

Category: Geometry

 viXra:1103.0043 [pdf] replaced on 23 May 2011

### The Euclidean Philosophy of Universe ( Nature )

Authors: Markos Georgallides

This article explains what is a Point, a Positive Space and a negative Anti-Space for their equilibrium, how points exist and their correlation also in Spaces . Any two points A,B on Spaces consist the first dimensional Unit AB, which has infinite bounded Spaces, Anti-Spaces and Sub-Spaces on unit AB . It is proved that when points A, B exist in a constant distance ds = AB, which is then a Restrained System of this Unit, then equilibrium under equal and opposite Impulses Pa, Pb on points A, B . This means that any distance AB of the Space is a DIPOLE or [ FMD = AB - Pa, Pb ], which is the first material unit . The unique case where at the points of Space and Anti-Space exist null Impulses, then is the Primary Neutral Space and it is obvious that the infinite Dipole ds = 0 → AB → ∞ move in this P.N.S . The position of points on Space /Space, Anti-Space/ Anti-Space Space / Anti-Space, Anti-Space / Space, creates (+) matter (-) antimatter (±) Neutral matter which moves in this Space with finite velocity and in case of the bounded Neutral Space AB, which may have zero Inertia, moves with infinite velocity . Since Neutral Space is the interval between Impulse ( which Impulse is the Principle of movement ) and Spaces ( which Spaces are the medium of movement ), therefore, Motion can alternatively occur itself as that of a Dipole = matter ( which is particle ) and as that of Impulses Pa, Pb ( which is a wave ) in the Neutral matter and Neutral Anti-matter . [ The one thing, say the light, is then as Particle and as Wave Structure ] Following the principle < Cause on → Communicator → the Obvious > is then explained that, Monads, can reproduce themselves through their bounded Communicator ( we may refer this as the DNA of the Monad ) . Following Euclidean logic for Spaces, and since one may use them as the first dimensional Unit ds = 0 → AB → ∞ in Geometry, Algebra, etc either as Dipole ds = AB, [ FMD = AB - Pa, Pb ] and since also Primary Neutral Space is proved to be Homogenous and Isotropic, then also in Mechanics and Physics and in all laws of Universe .
Category: Geometry

 viXra:1103.0042 [pdf] submitted on 13 Mar 2011

### The Parallel Postulate is Depended on the Other Axioms

Authors: Markos Georgallides

This article was sent to some specialists in Euclidean Geometry for criticism . The geometrical solution of this problem is based on the four Postulates for Constructions in Euclid geometry
Category: Geometry

 viXra:1103.0035 [pdf] replaced on 13 Mar 2011

### A Property of the Circumscribed Octagon

Authors: Ion Patrascu, Florentin Smarandache