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Euler’s Theorem as the Path towards Geometry

✍ Scribed by Emil Saucan


Book ID
105750794
Publisher
SP Birkhäuser Verlag Basel
Year
2005
Tongue
English
Weight
770 KB
Volume
7
Category
Article
ISSN
1590-5896

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📜 SIMILAR VOLUMES


On Euler's contributions to the four-squ
✍ Herbert Pieper 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 361 KB

A passage in Euler's notebook 132 (written between 1740 and 1744) concerning the foursquares theorem is interpreted in a new way. The proof of the four-squares theorem is based on three lemmas. Euler proved two of them from which he deduced the theorem on the representation as a sum of four squares