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143 : true
70,396 Views ā¢ Jun 24, 2024 ā¢ Click to toggle off description
This animation is based on a proof due to Michael Hardy from the November, 1986 issue of The College Math Journal (doi.org/10.2307/2686255).
To buy me a coffee, head over to www.buymeacoffee.com/VisualProofs
Thanks!
For other proofs of this same fact check out the following playlist:
Ā Ā Ā ā¢Ā PythagoreanĀ TheoremĀ Ā
#mathshorts #mathvideo #math #pythagoreantheorem #pythagorean #triangle #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof
To learn more about animating with manim, check out:
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Views : 70,396
Genre: Education
License: Standard YouTube License
Uploaded At Jun 24, 2024 ^^
warning: returnyoutubedislikes may not be accurate, this is just an estiment ehe :3
Rating : 4.957 (69/6,369 LTDR)
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User score: 98.40- Masterpiece Video
RYD date created : 2024-11-06T20:34:09.137618Z
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60 Comments
Top Comments of this video!! :3
This is one of many Pythagorean proofs that I can understand rapidly!
131 |
Iāve actually thought about if Thaleās theorem and the Pythagorean theorem had a connection for a while. Nice!
55 |
Never saw this proof before, might be my new favorite
9 |
Wow I didn't expect that you can find the Pythagorean theorem using a circle but at least it's something to know
11 |
Wow
Really neat proof!
4 |
Wow even though I don't really use this anymore I had always wondered how they came to find that equation, interesting!
34 |
Nice. Great animation as well.
7 |
I hadn't seen this proof!
4 |
Itās!
Beautiful!
2 |
draw the circle and label the lengths as shown at the 0:12 second mark. Now, reflect the tringle horizontally over the diameter of the circle. From the power cord theorem:
(c + a) * (c - a) = bĀ²
cĀ² - aĀ² = bĀ²
cĀ² = aĀ² + bĀ²
3 |
wow this is actually very digestible
10 |
Za mene je ovo mnogo komplikovano, nista ne razumem. Svaka cast vama koji razumete!
1 |
You be square. Too cool for school.
6 |
Genius ! š š
1 |
So cool!!!!
1 |
Why not c+a/b =c-a/b (complimentary side of two similar triangle ) ??
1 |
This proof is very more important than it looks. Indeed, it shows that you can demonstrate the famous Pythagoras theorem by using Thales theorem (or called also intercept theorem). The question here is "where is this Thales theorem?",as an answer the unicity of tan() for both triangles, the blue and the red one. Just think for it š
. Here is a good question can we now demonstrate Thales theorem by the pythagorian one
1 |
Thale's theorem, courtesy of Wikipedia: One way of formulating Thales's theorem is: if the center of a triangle's circumcircle lies on the triangle then the triangle is right, and the center of its circumcircle lies on its hypotenuse.
1 |
If in the left triangle you did base/purpendicular then why why you did purpendicular/base in right triangle?
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@6D-Hexagon
4 months ago
The fact that theres like 600 proofs of the Pythagorean theorem baffles me
627 |