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]
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.