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Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes sive solutio problematis isoperimetrici latissimo sensu accepti / auctore Leonhardo Eulero
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DE CURVIS

2§o

mationes valor anguli <p pro quovis oscillationum genere nondifficulter eruetur. Tribuendo enim pro lubitu ipsi 0 valores ali-quot, & per calculum determinando, & ~ 7r+0 } 8cl tang ' i <p.

2 cot.

mox valor ipsius 0 prope verus cognoscetur. Quod si autemhabeantur limites anguli 0 utcunque remoti, statim invenienturlimites propiores, ex hisque tandem verus valor ipsius 0. Sic

pro aequatione prima y = + = / cot. 10 , sequentes li-

mites anguli 0 erui 17°, 26', & 17% 27', ex quibus per se-quentem calculum verus valor ipsius 0 obtinebitur.

0 = 17°, 2 6'. O"

in min. sec. = 62760"

log. 4, 7976829349subtr. 5,3144251332

17 0 , 27', O*62820"

4-79809793215,3144251332

10 = 9, 4832578017

0 = 0. 3042690662It = t, 5707963268

9,4836727989

0,3045599545*,5707963268

i- 7 r+<p = 1, 87506535,30

j,8753562813

r« = 8% 43 ',°"

lcot .^0 - 10,8144034109

^ 0, 8144034109

1 <V = 9 , 9108395839add. = 0,3622156886

8 > 43 5 3 °

IO,813981934*0,8139819342

9,91061476600, 3622156886

Ih = 0,2730552725

« = 1,8752331540

0,27283045461,8742626675

diff. + 1677610

10936138

Ex his ergo utriusque limitis erroribus concluditur fore 0 =17°,26'. &^5r+^seuy= 107°, 26', 7»^. Cum

vero in minutis secundis sit 0 62767,98, erit