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29,356 Views ⢠Sep 8, 2024 ⢠Click to toggle off description
Here is a bit longer version:    â˘Â Pythagorean Theorem VIII (BhÄskara's ... Â
If you like this video, consider subscribing to the channel or consider buying me a coffee: www.buymeacoffee.com/VisualProofs. Thanks!
This animation is based on a proof due to BhÄskara. For a static version of this proof, see Roger Nelsen's first "Proof Without Words: Exercises in Visual Thinking" compendium (page 4). You can also check out Howard Eves' "Great Moments in Mathematics (Before 1650)" page 29-32.
Check out Roger's book on Amazon (affiliate link to follow; I may receive a small commission): amzn.to/3SjsqEh
For other proofs of this same fact check out:
   â˘Â Pythagorean Theorem I (visual proof) Â
   â˘Â Pythagorean Theorem II (visual proof) Â
   â˘Â Pythagorean Theorem III (visual proof) Â
   â˘Â Pythagorean Theorem IV (visual proof;... Â
   â˘Â Pythagorean Theorem V (visual proof; ... Â
   â˘Â Pythagorean Theorem VI (visual proof;... Â
   â˘Â Pythagorean Theorem VII (visual proof) Â
#math #manim #pythagoreantheorem #pythagorean #triangle #animation #theorem #pww #proofwithoutwords #visualproof #proof #mathshorts #mathvideo
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RYD date created : 2024-10-10T14:55:19.116907Z
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33 Comments
Top Comments of this video!! :3
Is this theorem the most proven thing ever?
75 |
Thanks for the visual proof.
The moment you proved that the central square has a side length of a-b, it can be simplified to:
c^2 = (a-b)^2 + 4 (a*b/2)
which straightaway simplified to a^2 + b^2
2 |
That c by c square was included in Edward Tufte's book The Visual Display of Quantitative Information which is recommended reading for anyone interested in maths.
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You really teach me very well đ
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Ďa^2+Ďb^2=Ďc^2 is my favorite. If your asking what a line is in a different dimension, just pick one and use it ... The fact 90 degrees is already a circular term brings home the rotated perspective and any triangle can be skewed into this perspective of a 90 degree triangle, calculated and skewed back to its original obtuse and still know the length of the line... Just use circles... Quit with the squares and trying to visually prove it. Its just measures of circles or cones or whatever shape you put to the number to define an area of its line because the area of the circle and the area of the square created by the math from that line are not the same for every shape yet if you stay in circular math or square math its still the area + the area = the area.
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THANK YOU...!!!
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Masterful
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Cheer~~~relating to or characteristic of the Greek philosopher Pythagoras or his ideas.đ
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Nice and smart đ
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Wouldnt it be b-a square?
Edit: mb I thought shorter side was a
10 |
Bro said in a more complicated way than my colleagues' math teacher
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Lovely, again. But we always need to use an equivalent fact: the sum of the angles in a triangle is 180 degrees.
5 |
I've been reminded of the torture i have to go through with this in school.
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Nice way to prove!
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hurray for neww math, newhewhew math, so simple, so very simple, that only a child can do it!
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Schools trying to credit any mathematician east of Greece challenge (impossible)
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funny how a few years ago, I thought we can't prove Pythagorean theorem and now, I know a lot of different ways to prove this theorem.
3 |
Huh
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if I try to use that proof in my class i will instantly get F- đđ
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@misaelarvizu7023
2 months ago
The Mathematical Symmetricalness of that Proof is Insane... how it concluded to c^2 = a^2 + b^2
49 |