'SUE !
DE CURVA LEMNISCATA.
Posito integrali f a oo = 0 usque ad ¿c = s, — <p, dicimus $
sinum lemniscaticum ipsius cp, s = sin lemn cp.
2.
Valor integralis ab ¿a? — 0 usque ad <2? = 1 est — 1.311028777 1 4605987
secundum Stirling, qui valor a nobis usque ad figuram undecimam verus in ven
tus est, utentibus formula ; are sin lemn -f- 2 are sin lemn \ (Euler habet
1.311031). Potestates huius numeri, cuius duplum semper per w designabimus,
has invenimus
320.7
1 ..
. 1.3110287771
4605990680
2 . . .
. 1.7187964545
050931 1.7
4 . . .
. 2.9542612520
1927863.4
5 . .
. 3.8731215170
071 2625.4
6 . .
. 5.0777737656
5251025.3
8 . .
. 8.7276595451
8251569.0
9 . .
. 11.4422128208
59
12 . .
. 25.7837864151
41749
13 . .
. 33.8032859402
5