Which Pythagorean triples did the Sumerians know?

[matqkks]

Where they aware of 3,4 and 5; 5, 12 and 13?

 

[jedishrfu]

I would say yes based on the clay table of pythag triplets shown in this presentation:

http://www.f.waseda.jp/sidoli/MI314_02_Egypt_Babylon.pdf
Check at slides 33-35 or thereabouts. It's a pretty cool presentation.

 

[fresh_42]

From Wikipedia:

The cuneiform Plimpton 322 contains 15 different Pythagorean triples, e. g. $(56,90,106)\, , \, (119,120,169)\, , \, (12709, 13500, 18541)$, which suggests that more than $3,500$ years ago a method of calculating such triples was already known.

 

[fresh_42]

Btw., Wikipedia mentions Babylonians, not Sumerians. Those are not identical. The Sumerer developed the cuneiform, the Babylonians adapted it and followed the reign of the Sumerians.

 

[matqkks]

I would say yes based on the clay table of pythag triplets shown in this presentation:

http://www.f.waseda.jp/sidoli/MI314_02_Egypt_Babylon.pdf
Check at slides 33-35 or thereabouts. It's a pretty cool presentation.

Thanks. Much appreciated.

 

[matqkks]

From Wikipedia:

The cuneiform Plimpton 322 contains 15 different Pythagorean triples, e. g. $(56,90,106)\, , \, (119,120,169)\, , \, (12709, 13500, 18541)$, which suggests that more than $3,500$ years ago a method of calculating such triples was already known.

Thanks for this information. Very relevant to my question.

 

[mathman]

Plimpton 322 dates around 1800 B.C. long after the Sumerians.