Steps / Historical AI

Leonhard Euler · 1748 · Internet Archive

Introductio in analysin infinitorum

All 320 leaves · leaf 123

Transcription

EX CIRCULO ORTIS. 95 Si ergo $n$ denotet numerum integrum quemcunque, erit CAP. VIII. $sin.(\frac{4n+1}{2}\pi+z) = +cos.z$ $sin.(\frac{4n+1}{2}\pi-z) = +cos.z$ $cos.(\frac{4n+1}{2}\pi+z) = -sin.z$ $cos.(\frac{4n+1}{2}\pi-z) = -sin.z$ $sin.(\frac{4n+2}{2}\pi+z) = -sin.z$ $sin.(\frac{4n+2}{2}\pi-z) = +sin.z$ $cos.(\frac{4n+2}{2}\pi+z) = -cos.z$ $cos.(\frac{4n+2}{2}\pi-z) = -cos.z$ $sin.(\frac{4n+3}{2}\pi+z) = -cos.z$ $sin.(\frac{4n+3}{2}\pi-z) = -cos.z$ $cos.(\frac{4n+3}{2}\pi+z) = +sin.z$ $cos.(\frac{4n+3}{2}\pi-z) = -sin.z$ $sin.(\frac{4n+4}{2}\pi+z) = [TRUNCATED]
confidence 0.12 13 expressions source scan at the Internet Archive

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