نظريه فيثاغورس. بحث عن نظرية فيثاغورس شامل

Roots to research: a vertical development of mathematical problems	Therefore, the angle between the side of lengths a and b in the original triangle is a right angle
It states that the area of the square whose side is the the side opposite the is equal to the sum of the areas of the squares on the	The triangles are shown in two arrangements, the first of which leaves two squares a 2 and b 2 uncovered, the second of which leaves square c 2 uncovered

ما لا تعرفه عن فيثاغورس .. من هو؟ سيرته الذاتية، إنجازاته وأقواله، معلومات عن فيثاغورس

Less easily explained is another rule given by Apastamba — one that strongly resembles some of the geometric algebra in Book II of Euclid's Elements.

بحث عن نظرية فيثاغورس شامل: A large square is formed with area c 2, from four identical right triangles with sides a, b and c, fitted around a small central square
نظرية فيثاغورس بالمثلث قائم الزاوية: Some believe the theorem arose first in , where it is alternatively known as the " Shang Gao theorem" 商高定理 , named after the Duke of Zhou's astronomer and mathematician, whose reasoning composed most of what was in the Zhoubi Suanjing
معلومات عن نظرية فيثاغورس: With contents known much earlier, but in surviving texts dating from roughly the 1st century BC, the text 周髀算经 , The Arithmetical Classic of the Gnomon and the Circular Paths of Heaven gives a reasoning for the Pythagorean theorem for the 3, 4, 5 triangle—in China it is called the " Gougu theorem" 勾股定理

This proof first appeared after a computer program was set to check Euclidean proofs	Arbitrary triangle Generalization of Pythagoras's theorem by
Sometimes, by abuse of language, the same term is applied to the set of coefficients g ij	For full text of 2nd edition of 1940, see Elisha Scott Loomis

van der Waerden, Bartel Leendert 1983.

قانون نظرية فيثاغورس: This can also be used to define the cross product
نظرية فيثاغورس: A typical example where the straight-line distance between two points is converted to curvilinear coordinates can be found in the
مبرهنة فيثاغورس: Let A, B, C be the of a right triangle, with a right angle at A

Translated by Morrow, Glenn R	The is a generalization of the of vectors
President then a see diagram	: web page version using Java applets from by Prof

The New England Journal of Education.

إثبات قضیة فیثاغورس: "Theorem 1 and Theorem 2"
مبرهنة فيثاغورس: The upper figure shows that for a scalene triangle, the area of the parallelogram on the longest side is the sum of the areas of the parallelograms on the other two sides, provided the parallelogram on the long side is constructed as indicated the dimensions labeled with arrows are the same, and determine the sides of the bottom parallelogram
فيثاغورس: in of the Pythagorean theorem• The basic idea behind this generalization is that the area of a plane figure is to the square of any linear dimension, and in particular is proportional to the square of the length of any side