Full text: welcher die Differential-Rechnung enthält (Erster Theil)

von dem Differential ebener krmnl. Fig. 357 
v — -f- g.r-r- i. r—2. ä 1 
i.2.nb r {rp — 2 ) 
u = A -{- gz r ~ ht —r—\,gaz r -f" 
n,b r {r -j- p) n.b r (r-\-p—i) 
g.r- i.r-2.tfV‘ + “ i ~ , -^.r-i«r-2.r-3 
J.l.nb* (f-\-p — 2) 1,2.3.nb r (»•+/? — 3) 
oder u — A g.z* ^sz r ~ x — r— i.4z r “' a -{- 
Weil nun r == m -f-1, so wird r — 1 =»1 — n -j~ x. 
« » 
und wenn man gehörig substituirt 
u = A -j- g ( a -\-bx°y(a~\-bx H ) T " 1 
11 b r \ r -f- p 
—, — i. a (a + bx n ) r '~* -f" r ~ 1 • r “ 2 •** ( a + 
0 i-2.{r+p—2) 
— r—f.r — 2.»'—3.(tf -f- bx n ) r ~4 -f- }C. *\ 
1.2*3.- (r+P — 3) x 
sehet man mm r + p = t und entwickelt die einzelne 
Binomia, so wird 
(¿x» z=zb r ~ x x™’-“ r— i.ab r - i x nT - im 
x 
+ r— l. 2.4’¿ r ~ 3 x nt ~ i * 1, -2.»—3. 
1T2 X. 2. 3 
^ Kf
	        
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