'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