Draw the from point C, and call H its intersection with the side AB | Casey, Stephen, "The converse of the theorem of Pythagoras", 92, July 2008, 309—313 |
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Inner product spaces Vectors involved in the parallelogram law The Pythagorean theorem can be generalized to , which are generalizations of the familiar 2-dimensional and 3-dimensional | Crossley; Anthony Wah-Cheung Lun 1999 |

The Elements of Euclid: with many additional propositions, and explanatory notes, to which is prefixed an introductory essay on logic.

3- قانون نظرية فيثاغورس
- In similar triangles, the ratios of the sides are the same regardless of the size of the triangles, and depend upon the angles
- فيثاغورس
- This replacement of squares with parallelograms bears a clear resemblance to the original Pythagoras's theorem, and was considered a generalization by in 4 AD The lower figure shows the elements of the proof
- تعريف نظرية فيثاغورس

This can also be used to define the cross product | In other words, a Pythagorean triple represents the lengths of the sides of a right triangle where all three sides have integer lengths |
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9 Republication of 1957 Brown University Press 2nd ed | Incommensurable lengths conflicted with the Pythagorean school's concept of numbers as only whole numbers |

Let A, B, C be the of a right triangle, with a right angle at A.

10- قانون نظرية فيثاغورس
- This converse also appears in Euclid's Elements Book I, Proposition 48 : "If in a triangle the square on one of the sides equals the sum of the squares on the remaining two sides of the triangle, then the angle contained by the remaining two sides of the triangle is right
- مبرهنة فيثاغورس
- Sometimes, by abuse of language, the same term is applied to the set of coefficients g ij
- فيديو الدرس: نظرية فيثاغورس
- Aspastamba knew that the square on the diagonal of a rectangle is equal to the sum of the squares on the two adjacent sides