Steps / Historical AI

Leonhard Euler · 1748 · Internet Archive

Introductio in analysin infinitorum

All 320 leaves · leaf 142

Transcription

114 DE INVESTIGATIONE LIB. I. Si $n=1$ Formulæ $a-z$ ipsa erit Factor $a-z$ Si $n=3$ Formulæ $a^3-z^3$ Factores erunt $a-z$ $aa - 2az\cos\frac{2}{3}\pi + zz$ Si $n=5$ Formulæ $a^5-z^5$ Factores erunt $a-z$ $aa - 2az\cos\frac{2}{5}\pi + zz$ $aa - 2az\cos\frac{4}{5}\pi + zz$ Si $n=2$ Formulæ $a^2-z^2$ Factores erunt $a-z$ $a+z$ Si $n=4$ Formulæ $a^4-z^4$ Factores erunt $a-z$ $aa - 2az\cos\frac{2}{4}\pi + zz$ $a+z$ Si $n=6$ Formulæ $a^6-z^6$ Factores erunt $a-z$ $aa - 2az\cos\frac{2}{6}\pi + zz$ $aa - 2az\cos\frac{ [TRUNCATED]
confidence 0.31 25 expressions source scan at the Internet Archive

This text was produced by machine and has not been corrected by hand. Where it matters, read the scan. Confidence is the model's own, not an external check.