Steps / Historical AI

Leonhard Euler · 1744 · Internet Archive

Methodus inveniendi lineas curvas

All 336 leaves · leaf 297

Transcription

290 DE CURVIS mationes valor anguli $\Phi$ pro quovis oscillationum genere non difficulter eruetur. Tribuendo enim pro lubitu ipsi $\Phi$ valores aliquot, & per calculum determinando, $\frac{n}{c} = \frac{1}{2}\pi + \Phi$, & $l \stackrel{\text{tang.}}{\cot.} \frac{1}{2}\Phi$. mox valor ipsius $\Phi$ prope verus cognoscetur. Quod si autem habeantur limites anguli $\Phi$ utcunque remoti, statim invenientur limites propiores, ex hisque tandem verus valor ipsius $\Phi$. Sic pro aequatione prima $\frac{a}{c} = \frac{1}{2}\pi + \Phi = l \cot. \frac{1}{2}\Phi$, sequentes limites anguli $\Phi$ erui $17^\circ, 26'$, & $17^\circ, 27'$, ex quibus per sequentem calculum verus valor ipsius $\Phi$ obtinebitur. | | | | :--- | :--- | :--- | | $\Phi$ | $= 17^\circ, 26', 0''$ | $17^\circ, 27', 0''$ | | in min. sec. | $= 62760''$ | $62820 [TRUNCATED]
confidence 0.70 16 expressions source scan at the Internet Archive

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