Leonhard Euler · 1744 · Internet Archive
Methodus inveniendi lineas curvas
All 336 leaves · leaf 308
Transcription
ELASTICIS.
301
Hinc intelligitur verum valorem ipsius $Φ$ non intra istos limites contineri, sed aliquantulum esse minorem quam $1°, 0', 40"$. Nihilo vero minus is ex his erroribus reperietur. Sit enim $Φ = 1°, 0', 40" - n"$; erit $20" : 52509233 = n" : 6363418$ unde reperitur $n = 2423/10000$, ita ut fit
$Φ = 1°, 0', 39 7576"/10000$.
Cum ergo fit $Φ = 3639,7576"$ erit
$lΦ = 3,5610724615$
subtr. $5,3144251332$
$8,2466473283$
$Φ = 0,0176460428$
$a/π = 4,7123889804$
$a/c = 4,7300350232$.
86. Sit hic numerus $a/c = m$, erit, ob $c* = (Ekk.af)/M$, $a* = M/(m⁴.E
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