Euler Solution to the Basel Problem

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I found what looks like an interesting document on a solution to the Basel Problem by Euler.

http://eulerarchive.maa.org/pages/E063.html

What stinks is that the document is in German and French(I think) so I can't read it apart from the math. I can't seem to find a translated copy of this document which stinks even more. I'm not usually a proofy type of person but I'd love to read what this document actually says.
 
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The page you linked to says "Ian Bruce has made both a translation and transcription of E41 available at his page Mathematical Works of the 17th Century", and indeed if you follow the link on that page it does indeed link to a translation of this paper (labelled "E041").

The original is in Latin.