when and where did Euclid write the proof of the pythagorean theorem. why did the proof was written.

http://www.google.com/search?sourceid=chrome&ie=UTF-8&q=euclid+and+pythagorean+theorum

Read widely and take good notes.

Euclid, the ancient Greek mathematician, did not specifically write a proof of the Pythagorean theorem, but he did present a deductive proof in his book "Elements."

Euclid lived around 300 BCE, and his work, "Elements," is a compilation of mathematical knowledge at the time. Book I of "Elements" contains the proof of the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

The reason Euclid included the proof in his book was to establish it as a fundamental mathematical truth and to demonstrate the validity of deductive reasoning. "Elements" served as a comprehensive textbook on mathematics, covering a wide range of geometrical and number-theoretic topics, and its purpose was to provide a rigorous foundation for mathematical understanding.

To find the specific details of Euclid's proof and the context in which it was written, you can refer to "Elements" itself, or consult various publications, textbooks, or online resources that have analyzed and explained Euclid's work.