This video is a compilation of ten shorter videos I have created showing various visual proofs without words of the famous right triangle theorem (usually referred to as the Pythagorean theorem). To see the original videos (in shorter form and sometimes with words/explanations), check the links below. Of course there are many other visual proofs of this amazing fact, but these are my favorite ten.
Let me know your favorite in the comments!
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Here are the original series videos (along with attribution; for more detailed attribution, see the original videos):
0:00 Introduction
0:07 Hexagon Areas Proof : • Pythagorean Theorem V (visual proof; ... (attribution: Leonardo da Vinci)
1:01 Behold! Proof : • Pythagorean Theorem VIII (Bhāskara's ... (attribution: Bhāskara)
1:52 Trapezoid Proof: • Pythagorean Theorem IV (visual proof;... (attribution: James Garfield)
2:37 Adaptation of Euclid's Area Preserving Transformation : • Pythagorean Theorem VI (visual proof;... (attribution : Euclid; Eves/Nelsen)
3:21 Triangle in a Circle Proof : • Pythagorean Theorem III (visual proof) (attribution: Michael Hardy)
3:59 Scaling Proof : • Pythagorean Theorem I (visual proof) (attribution: Frank Burk)
4:40 Hinged Dissection : • Pythagorean Theorem IX (hinged visual... (attribution: Bogomolny's cuttheknot site)
5:25 Dudeney's Dissection: • Pythagorean Theorem XI (Dudeney’s Dis... (attribution: Henry Dudeney)
6:10 Pythagoras with Height Lemma : • Pythagorean Theorem VII (visual proof) (attribution: Roger B. Nelsen and Claudi Alsina)
7:06 Sliding Rectangles Proof : • Pythagorean Theorem II (visual proof) (attribution: adapted from the Chou pei suan ching)
7:52 Ending citation
If you like the right triangle theorem, you can check out my playlist of proofs and other videos that utilize the theorem:
• Pythagorean Theorem
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