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!
If you like this video, consider subscribing to the channel or consider buying me a coffee: www.buymeacoffee.com/VisualPr.... Thanks!
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 ... (attribution: Leonardo da Vinci)
1:01 Behold! Proof : • Pythagorean Theorem VI... (attribution: Bhāskara)
1:52 Trapezoid Proof: • Pythagorean Theorem IV... (attribution: James Garfield)
2:37 Adaptation of Euclid's Area Preserving Transformation : • Pythagorean Theorem VI... (attribution : Euclid; Eves/Nelsen)
3:21 Triangle in a Circle Proof : • Pythagorean Theorem II... (attribution: Michael Hardy)
3:59 Scaling Proof : • Pythagorean Theorem I ... (attribution: Frank Burk)
4:40 Hinged Dissection : • Pythagorean Theorem IX... (attribution: Bogomolny's cut-the-knot site)
5:25 Dudeney's Dissection: • Pythagorean Theorem XI... (attribution: Henry Dudeney)
6:10 Pythagoras with Height Lemma : • Pythagorean Theorem VI... (attribution: Roger B. Nelsen and Claudi Alsina)
7:06 Sliding Rectangles Proof : • Pythagorean Theorem II... (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
#math #manim #pythagoreantheorem #pythagorean #triangle #animation #theorem #pww #proofwithoutwords #visualproof #proof #mathshorts #mathvideo
To learn more about animating with manim, check out:
manim.community
Негізгі бет Ten Epic Pythagorean Proofs Without Words
Пікірлер: 37