Questions tagged [pythagorean-proposition]

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19 votes
1 answer
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Did president Garfield make any contributions to Mathematics?

All I know about Garfield and math was that he made an original proof of the Pythagorean theorem. Did he make any other mathematical advancement (big or small)?
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9 votes
2 answers
7k views

On Einstein's proof of the so-called Pythagorean theorem

Part I In E. Maor's book [2, p. 117] we read that, somewhere in his Autobiographical Notes, Einstein wrote this: An uncle told me about the Pythagorean theorem before the holy geometry booklet had ...
José Hdz. Stgo.'s user avatar
6 votes
2 answers
1k views

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

A well-known proof of the Pythagorean Theorem is illustrated in the figure below: This figure shows a square with side lengths $a + b$, dissected into four right triangles (each with area $\frac 12 ...
mweiss's user avatar
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6 votes
2 answers
2k views

History of Plato's formula for generating pythagorean triples

I'm interested in the history behind Plato's formula $2m,m^2-1,m^2+1$ for generating pythagorean triples. Was Plato the first mathematician to come up with such a formula?
Nicco's user avatar
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3 votes
0 answers
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President James A. Garfield and the Pythagorean proposition

As some of you may recall, President James A. Garfield published at some point of his life a proof of the celebrated Pythagorean proposition. I am interested in acquiring a pdf copy of President ...
Jamai-Con's user avatar
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3 votes
0 answers
300 views

Are there primitive Pythagoras triplets (in integers), being with all the terms as powerful numbers?

I'm searching a trusted historical sources about primitive Pythagoras triplets as being powerful integers (numerical examples), or a notable work of impossibility of such a triples, but couldn't find ...
Sophyan Gharz's user avatar
2 votes
2 answers
240 views

Essential basic geometrical discoveries still possible in our era?

Can we imagine that scientific can still discover some basic simple but essential geometric rules such as the Pythagorean theorem in a near of far future: $a^2 + b^2 = c^2$ Or do we consider that ...
matt's user avatar
  • 121
2 votes
0 answers
292 views

How old is the Pythagorean Theorem? [closed]

More specifically, what is the oldest evidence of human awareness of what we now call the Pythagorean Theorem? The phrase, "evidence of human awareness" was used to exclude a different question of ...
Jason Arthur Taylor's user avatar
1 vote
1 answer
173 views

Ancient Chinese method to calculating $\pi$

I'm trying to understand the following passage from Boyer's and Merzbach's History of Mathematics: The question I have is: how does the author derive that $w^2=2rv$?
Adrien Hingert's user avatar
0 votes
1 answer
970 views

Did Baudhayan publish Pythagoras theorem before Pythagoras?

In NCERT textbook for class X mathematics, it is given that Baudhayan gave the relation between the hypotenuse square and sum of squares of the other sides of a right angled triangle. Is it true? ...
J Arun Mani's user avatar