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29 votes
Accepted

Did president Garfield make any contributions to Mathematics?

No. The library of Congress has a well-organized website of Garfield's papers, and he did not publish anything on mathematics other than that one note on the Pythagorean theorem in April 1, 1876 issue ...
Conifold's user avatar
  • 77.6k
6 votes

Essential basic geometrical discoveries still possible in our era?

This is exactly what is happening in modern mathematics: people with some books and brain discover essential things that have never been discovered, such as Euclid, Thales and Pythagoras did in the ...
Alexandre Eremenko's user avatar
5 votes

First appearance of the "four triangles and a square" proof of the Pythagorean Theorem

This will need confirmation (as there might be an even earlier version), but off the top of my head, I believe the earliest "visual proof" of the Pythagorean theorem was demonstrated in the ...
Andrew R.'s user avatar
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4 votes
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First appearance of the "four triangles and a square" proof of the Pythagorean Theorem

I suggest that you take a look at page 49 of the 2nd. edition of "The Pyhagorean Proposition" by Elisha S. Loomis: this is the first book at which one must take a look when trying to unravel ...
José Hdz. Stgo.'s user avatar
4 votes
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Ancient Chinese method to calculating $\pi$

Let $R'$ be the reflection of $R$ on $O$ (see the picture below). Then $RR'$ is a diameter of the circle and therefore its length is $2r$. The triangles $\triangle RQR'$ and $\triangle RMQ$ are ...
José Carlos Santos's user avatar
3 votes

History of Plato's formula for generating pythagorean triples

The names Pythagoras and Plato are associated with methods of generating Pythagorean triples due to their mention in Proclus's commentary on Euclid. However, as far as I have been able to determine, ...
Will Orrick's user avatar
3 votes
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History of Plato's formula for generating pythagorean triples

Plato was not a mathematician and it is unlikely that he invented anything in mathematics. This particular formula is credited to Pythagoras by ancient mathematician and historian of mathematics ...
Alexandre Eremenko's user avatar
3 votes
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Did Baudhayan publish Pythagoras theorem before Pythagoras?

The textbook you quoted is that of high school and probably written by high school/college teachers. Most of these side notes are often traditional hearsay. As a good scientist of future, do not trust ...
ACR's user avatar
  • 4,079
2 votes

Essential basic geometrical discoveries still possible in our era?

One incredible discovery of the 1800s was that when you speak of geometry, you need to specify "where your geometry is located" and specifically what constitutes points and lines. At the time this was ...
Stella Biderman's user avatar

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