Steps / Historical AI

Leonhard Euler · 1748 · Internet Archive

Introductio in analysin infinitorum

All 320 leaves · leaf 185

Transcription

SINUUM EXPLICATIONIBUS INFINITIS. 157 CAP. XI. $- \frac{m^{36}}{n^{36}} \cdot O, 000000000000000037$ $- \frac{m^{38}}{n^{38}} \cdot O, 000000000000000004$ 195. Si isti Sinuum & Cosinuum Logarithmi hyperbolici multiplicentur per O, 4342944819 &c. , prodibunt eorundem Logarithmi vulgares ad Radium $= 1$ relati. Quoniam vero in Tabulis Logarithmus Sinus totius statui solet $= 10$, quo Logarithmi tabulares Sinuum & Cosinuum obtineantur, post multiplicationem addi debet 10. Hinc erit Logarithmus tabularis Sinus Anguli $\frac{m}{n} 90^\circ =$ $lm + l(2n-m) + l(2n+m) - 3ln$ + $9,594059885702190$ $- \frac{m^2}{n^2} \cdot O, 070022826605901$ $- \ [TRUNCATED]
confidence 0.69 8 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.