. Denkschriften der Kaiserlichen Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Classe. 448 Leopold Gegenbaiier, {^âVT- 23n(2w+v+T)n(2M+i)n(2M+v+y)n(^^) n(vâi')n('2«+2v) II(2v â1) y ül^ 2'n 2vâ1 )J -+i (l_j-2) 2 C'2',,+1 (x) r/,r 1 8iu-''-'^(/y {(aisiny 4-«coi^ y)(^-j +'(a;smyâi cos y) (1!/+.'- ^in*yâa-i sin y sm If -â^ . Ji^ f V/^/H-x' sin* <fâxi sin y sin 2y- sin^ 2y n~00 n(»+2vâl)y 2 Ji^+"(\/y)2" 2y_2 V {.-. IV _ n(2vâT) ^â n(V) = r+' fT (i-x") 2v-i 2^ (\â2zx + z^)' . cos- . (/ 0 «sin29\ ~ r I I « <sin2mA / COS'tO- isin 2y â¢J^ sin 2y 2yT \/;r n
. Denkschriften der Kaiserlichen Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Classe. 448 Leopold Gegenbaiier, {^âVT- 23n(2w+v+T)n(2M+i)n(2M+v+y)n(^^) n(vâi')n('2«+2v) II(2v â1) y ül^ 2'n 2vâ1 )J -+i (l_j-2) 2 C'2',,+1 (x) r/,r 1 8iu-''-'^(/y {(aisiny 4-«coi^ y)(^-j +'(a;smyâi cos y) (1!/+.'- ^in*yâa-i sin y sm If -â^ . Ji^ f V/^/H-x' sin* <fâxi sin y sin 2y- sin^ 2y n~00 n(»+2vâl)y 2 Ji^+"(\/y)2" 2y_2 V {.-. IV _ n(2vâT) ^â n(V) = r+' fT (i-x") 2v-i 2^ (\â2zx + z^)' . cos- . (/ 0 «sin29\ ~ r I I « <sin2mA / COS'tO- isin 2y â¢J^ sin 2y 2yT \/;r n (v - 1) n(2vân 2^n 2vâ1 2vâ1 '+1 (] âer*) 2 (/x (1â2zx-hz'^y I sin-'-* y f^y ^j(^</ + xsin* i^H ^ «/+xcos'y - j i sin 2yN 2 )j dx df ?sin29N ^ / . , i8m2f\ ^ j. / 1 . , «sin2wN( L 1-1- /^.-LY-mn^o ^âL 1 ^i* I V ; y-\-xsm*f ^- ' ll(.2vâ1) 2 VW 2 â 'y _^y n(:n + )y ^ J^+'-js/y)z" _ 1- z') .008-=. â¢+1 /'Y (1âX*) 2 (1â2;2a;+2*)^+'' i sin 2y . (/ , J8in29\ 2 / , »sin2mA / «sin ' y jU+xcos^yH ^âij Ji^k (/+a;cos''yH ^j + (^//-f-xcos* cp â J^ U y+xcos*fâ-âöâ^)( dxdf _ 2vy2 \/n:n(v â1) n(^2v-l) (?^) â¢+1 () 2v-i jt^ (1âX*) 2 C?X / 2 rf(p 1(2/-f-x . , i sin 2« .J^ / / . o «sm 2(p\ / . â /Sin iJm\ 2 tâ »sin [Wi/+X8in*y + â2-^j + (^2/ + xsin«y ^j ^^^ v i/+xsin'<p ^ i sin 2y )1 X (-')â ⢠n = o n(«+w-i)ri(^+«-i)n(«+2v-i)2/ ^J'â 'â +"{s/yy-Flâ-,â-â,»i_-,^-ââ,â+v+i,^-;â^â, 2^"+' [!(«) 1Um + v) 11(7 + «â!) II (^« +^ â ^2. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Kaiserl. Akademie der Wissenschaften in Wien. Mathematisch-Naturwissenschaftliche Klasse. Wien : Aus der Kaiserlich-K©niglichen Hof- und Staatsdruckerei
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