Pythagorean theorem: Euclid’s proof reimagined
This is a short, animated visual proof of the Pythagorean theorem (the right triangle theorem) following essentially Euclid's proof. This theorem states the square of the hypotenuse of a right triangle is equal to the sum of squares of the two other side lengths.
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For a longer version of this video with a bonus dissection proof based on this proof, see
• Pythagorean Theorem XII (visual proof)
You can also see other Pythagorean theorem proofs here:
• Ten Epic Pythagorean Proofs Without W... (compilation)
• Pythagorean Theorem XI (Dudeney's dis...
• Pythagorean Theorem I (visual proof)
• Pythagorean Theorem II (visual proof)
• Pythagorean Theorem III (visual proof)
• Pythagorean Theorem IV (visual proof;...
• Pythagorean Theorem V (visual proof; ...
• Pythagorean Theorem VI (visual proof;...
• Pythagorean Theorem VII (visual proof)
• Pythagorean Theorem VIII (Bhāskara's ...
• Pythagorean Theorem X (visual proof w...
or check out my Pythagorean theorem playlist:
• Pythagorean Theorem
This animation is based on a proof due to Euclid. For a static version of this proof, see Roger Nelsen's first "Proof Without Words: Exercises in Visual Thinking" compendium (page 5) : https://bookstore.ams.org/clrm-1. You can also check out Howard Eves' "Great Moments in Mathematics (Before 1650)" page 31-33.
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