Steps / Historical AI

Leonhard Euler · 1748 · Internet Archive

Introductio in analysin infinitorum

All 320 leaves · leaf 264

Transcription

LIB. I. 236 DE SERIEBUS EX $4l\pi - l90 = + 1(\frac{1}{2^4} + \frac{1}{3^4} + \frac{1}{5^4} + \frac{1}{7^4} + \frac{1}{11^4} + \&c.)$ $+ \frac{1}{2}(\frac{1}{2^8} + \frac{1}{3^8} + \frac{1}{5^8} + \frac{1}{7^8} + \frac{1}{11^8} + \&c.)$ $+ \frac{1}{3}(\frac{1}{2^{12}} + \frac{1}{3^{12}} + \frac{1}{5^{12}} + \frac{1}{7^{12}} + \frac{1}{11^{12}} + \&c.)$ $\&c.$ $\frac{1}{2}l\frac{\pi}{2} = 1(\frac{1}{2^2} + \frac{1}{3^2} + \frac{1}{5^2} + \frac{1}{7^2} + \frac{1}{11^2} + \&c.)$ $+ \frac{1}{3}(\frac{1}{2^6} + \frac{1}{3^6} + \frac [TRUNCATED]
confidence 0.70 5 expressions source scan at the Internet Archive

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