# The Ancient-Greek Special Problems , as the Quantization Moulds of Spaces

### Abstract

**The Special Problems of E-geometry consist the , ***Mould Quantization ***, of Euclidean ****Geometry in it , ****to become → ****Monad , through mould of Space ****–****Anti-space in itself , ***which is the **material dipole in inner monad Structure as the Electromagnetic cycloidal field ***→ ****Linearly , through ****mould of Parallel Theorem [44- 45] , ***which are the equal distances between points of parallel and **line ***→ ****In Plane , through mould of Squaring the circle [46] , ***where the two equal and **perpendicular monads consist a Plane acquiring the common Plane-meter ***→ ****and in Space ****(volume) , through mould of the Duplication of the Cube [46] ***, where any two Unequal**perpendicular monads acquire the common Space-meter to be twice each other ***, **as analytically all methods are proved and explained **. **[39-41] The Unification *of Space and Energy becomes through ***[STPL] ***Geometrical Mould Mechanism of **Elements , the minimum Energy**-**Quanta , ***In monads ***→ Particles , Anti**-**particles , Bosons , Gravity – **Force , Gravity **-**Field , Photons , Dark Matter , and Dark**-**Energy ,consisting Material Dipoles in inner*** monad Structures i.e. the Electromagnetic Cycloidal Field of monads**. [39-41] Euclid’s elements consist of assuming a small set of intuitively appealing axioms , proving many other propositions . Because nobody until [9] succeeded to prove the parallel postulate by means of pure geometric logic , many self consistent non - Euclidean geometries have been discovered , based on Definitions , Axioms or Postulates , in order that non of them contradicts any of the other postulates . In [39] the only Space-Energy geometry is Euclidean , agreeing with the Physical reality , on unit AB = Segment which is The Electromagnetic field of the Quantized on AB Energy Space Vector , on the contrary to the General relativity of Space-time which is based on the rays of the non-Euclidean

geometries to the limited velocity of light and Planck`s cavity . Euclidean geometry elucidated the definitions of geometry-content ,{ for Point , Segment , Straight Line , Plane , Volume, Space [S] , Antispace [AS] , Sub-space [SS] , Cave, Space-Anti-Space Mechanism of the Six-Triple-Points-Line , that produces and transfers Points of Spaces , Anti-Spaces and Sub-Spaces in a Common Inertial Sub-Space and a cylinder ,Gravity field [MFMF] , Particles } and describes the Space-Energy beyond Plank´s length level [ Gravity Length 3,969.10 ̄ 62 m ] , reaching the Point = L v = ei.(N2π)b=10 ͞N= − ∞ m = 0 m , which is nothing and zero space .[43-46] -The Geometrical solution of the Special Problems is now presented.

*EPH - International Journal of Mathematics and Statistics (ISSN: 2208-2212)*,

*1*(2), 01-32. Retrieved from https://ephjournal.com/index.php/ms/article/view/18

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