- 107 — 



4x^ -f- 4.sin^B.cosB.d.x — d"\cos^B -f- d'cos B.sin B = o 

 od. 4x^ + 4sin^'B.cosB.d.x — d^cos^B =^ o, woraus 



Xp ,p ^ I — siir B.cosB.d ± d.cosB V^cos^B + sin*B : 2 



yp |p_ — cos'^BsinB .d + d . sin B V^cos-B + sin^B :2 



wie angegeben. 



Hiernach ergibt sich : 



4 



d^ 

 4 



"- d^ 



M^= = cos A -j- sin-B . cosB + cosB \/cos-B + sin^B 

 + cosB + cos'B . sinB + sinB\/cos-B -|- sin^B 

 = 1 -f- sin'-B. cos'-'B + cos'B + sin^B -f 2sinA.sinB - 

 = -— ( 1 -f- sin A . sinB ) , ferner 

 M^'= cosA — sinB + 1 -^ + cosB + sinB ^ 



-^ ( 1 + sin A . sinB ) u. 



M, B/ = ( cosA + sin Aj . -^ + cosB — sinA + 1-4" 



=^ -^ ( 1 + sinA . sinB ) also: 

 M^P^ = M^A^ = M^B^ = M^P.3 w. z. b. w. 

 weiter : 



~|2 -j? 



— cosA -j- sin-B.cosBi: cosB ^cos^B -f sin*B .^ 

 + — cosB 4- sinB . cos' B + sinB y/cos^B + sin^B . ^ 

 = -^ 1 -f sin'^B . cos'B + cos'B f sin'B — 2 sinB . cosB 



