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 $\frac{m}{n} 90^\circ =$
$lm + l(2n-m) + l(2n+m) - 3ln$
+ $9,594059885702190$
$- \frac{m^2}{n^2} \cdot O, 070022826605901$
$- \
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