LEMNISCATISCHE FUNCTIONEN II. 
421 
[13.] 
Rechnungen zur Lemniscata gehörig. 
|(sin lemn-|-{D) 2 -(-(sin lemn-^cö) 2 | 3 = 14y/5 — 30 
j (sin lemn fffi) 2 — (sin lemn-f-tö) 2 j 2 = 10\/5 — 22 
4 (sin lemn f co) 4 —}— \ (sin lemn -f ffi) 4 = 6 y' 5 — 13 
= 0.4164078649 9873817845 5042012387 
j 4(sin lemnf öj) 4 — i(sin lemnf®) 4 ) 4 = 340 — 152 y/ 5 
= 0.1176674200 
3196614580 
5602352846 
daraus Radix 
0.3430268593 
0761971797 
7310507555 
also 
(sin lemn fco) 4 
= 0.0733810146 
9111846047 
7731504831 
(sin lemn-f-iö) 4 
= 0.7594347153 
0635789643 
2352519943 
(sin lenin-f®) 2 
= 0.2708893033 
8999814497 
30710 
(sin lemnfffi) 2 
= 0.8714555153 
9155336074 
646029 
QtV® 
= Vii cos^Vtc + I- 
sin T V7c) 
QtV® 
= v^(i cos t Vtc — i 
sin T VTt) 
[14.] 
Lemniscatische Function. 
/•da: r dJ ^ 
J — ? ’ J S/(1-X*) ““ 
Es verhalte sich 1 
oc 
\J[ 1 X OB) 
\J (\-\-xx) 
wie p 
9 
r 
s 
und 1 
X 
S/0-XX) 
V(1 + X3 
wie P 
Q 
E 
8 
so verhalten sich die cp -j- 0 
entsprechenden Grössen 
65741 
01228 
85731 
80010 
51472