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  2. Garfield's proof of the Pythagorean theorem - Wikipedia

    en.wikipedia.org/wiki/Garfield's_proof_of_the...

    Garfield's proof of the Pythagorean theorem is an original proof the Pythagorean theorem invented by James A. Garfield (November 19, 1831 – September 19, 1881), the 20th president of the United States. The proof appeared in print in the New-England Journal of Education (Vol. 3, No.14, April 1, 1876). [ 1][ 2] At the time of the publication of ...

  3. File:Academ Jigsaw puzzle and mnemonic for the Pythagorean ...

    en.wikipedia.org/wiki/File:Academ_Jigsaw_puzzle...

    You are free: to share – to copy, distribute and transmit the work; to remix – to adapt the work; Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made.

  4. High school students say they’ve found new way to prove ...

    www.aol.com/high-school-students-ve-found...

    Calcea Johnson and Ne’Kiya Jackson, both 17, found a way to prove the Pythagorean theorem using trigonometry and without using circular logic. It’s a problem that has stumped mathematicians ...

  5. Pythagorean theorem - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_theorem

    In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle ) is equal to the sum of the areas of the squares on the other two sides.

  6. Pythagorean trigonometric identity - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_trigonometric...

    The Pythagorean trigonometric identity, also called simply the Pythagorean identity, is an identity expressing the Pythagorean theorem in terms of trigonometric functions. Along with the sum-of-angles formulae, it is one of the basic relations between the sine and cosine functions. The identity is. As usual, means .

  7. Pythagoreanism - Wikipedia

    en.wikipedia.org/wiki/Pythagoreanism

    Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are based on the ratio 3:2. [ 38] This ratio, also known as the "pure" perfect fifth, is chosen because it is one of the most consonant and easiest to tune by ear and because of importance attributed to the integer 3.

  8. Teachinghistory.org - Wikipedia

    en.wikipedia.org/wiki/Teachinghistory.org

    Educational. Focus. Best practices, K-12 education, History of the United States. Location. George Mason University, Fairfax, Virginia. Website. www .teachinghistory .org. Teachinghistory.org, also known as the National History Education Clearinghouse (NHEC), is a website that provides educational resources for the study of U.S. history.

  9. Pythagoras - Wikipedia

    en.wikipedia.org/wiki/Pythagoras

    The Pythagorean theorem: The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c). Although Pythagoras is most famous today for his alleged mathematical discoveries, [ 132 ] [ 207 ] classical historians dispute whether he himself ever actually made any significant contributions to the field.