General contradiction law and the standard model

Abstract

A triangle is a basic shape of geometry, there are many types of triangles. In a scalene triangle, all internal angles are different, and all sides have different lengths. A triangle with one internal angle larger than 90° is called an obtuse triangle. On the other hand, a triangle with internal angles all smaller than 90° is called an acute triangle. In an equilateral triangle, all three sides are of equal length. All internal angles of an equilateral triangle are equal—namely, 60°. An equilateral triangle is a special case of an isosceles triangle, but not vice versa. All isosceles triangles are not equilateral triangles. An isosceles right triangle is determined by one 90° internal angle, two sides of equal length and two equal internal angles. A general right-angled triangle has one 90° internal angle, the right angle. The side opposite to this right angle is called the hypotenuse. The hypotenuse is equally the longest side in a right-angled triangle. The sides a, b and c of such a right-angled triangle satisfy the Pythagorean theorem, known as a² + b² = c². It was Euclid who presented some elementary facts about triangles. This publication will prove that the Pythagorean theorem is based on general contradiction law, which states that

X * ( Anti X ) ≤ C²/4.