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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 4v, page id 00068199:0008
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fit  dax = 1b _ dC - C b44. 2+b9)sc
t
X. a = (0: 1B y: a = D: sb4
et dy = 5b8 d -  Vb d P: 2 1b8), : l. B. Et dy. dx = (68 d∞ - ) 6d 4,: (DG 10 -1
Eg d( H d(. Yb): d(D. YbZ) = d (C: Y): d(B: 8)
vi Ergo 1: b4  ( +( Ab Y) d(C 8) Abo +D- Ddrb5  4 do. Od
518F
2
m
+
8+D- DdY
Hinc si X: a = : Q et y: a = D. 
erit dus dx  quantitas rationalis, et ya ex mulsiplicata per rationati
seu yz
e
(YedO Od 1Z  8dD d- 1)d Y
seu 9:  = ((240 - = 018
21q
510 - cde
81D = D8 +
4d0-= edq
A jam dus: dx = - XX+ gy,: aa fret et sit
da
et et = 34X + 32y + d a, unde
qui
Ry 10
Ss 5d9- L DdY y
tE
anto
 ly: dx = E d5 - = Dd,:, dC - = C d4 =
14
= qu (ux + 12y+ 70V) = qu(1X + 22y+ 201),: a)Xt3
+30 X 20 dx + 30x 20 dy F30y20 dx F30920dy + 3ta 2odx + 31420dy fiat uXX P~ IXX E0
et 129y + 2297=0 et 21. 12 + 2. 27. 22 20 quod inde per se derivatur
+11 = f21 1 12= () 22. fict - 21. 22 = + (4) 11 12 = Ergo + (+) -  seu + = (+)
iat
rursus 10.10 +20. 20 =  6. fit 20 = 10 Y- 1 et 2+210. IIaX+2.10. 12 ay I
ustibit a solum in LD+, et in  D e
ut fit  o(l. 1)a, uxaiy R3cux tidus
2
E
= ( = = 10. 4, 2. 10. 11, Xdy, 31dX 13 2dy
av + by = ax + l.7 fit Z = ap +bus - aXx L vay +k, et
4oz tobtrs ax 4 49 2.b. 12 27
30y + 327
2. 10. H ax f2, 20, 21 aX
2(10. HUX (- 2. 4 (7. 1) C 10. 1aX
3 + +1) 10.449
fint ant bytius = pax ar + bg a bv + 2bg, et t (at bX = 2. 16. 1a, X = y faciendo 4 =, 4
- v, :, y - v,: 2b: erb (at bX = _1. sat b) 4 2by - El V =. V (a b) + 2by
(2+ bx = ate ( = b) V 4 abys
a+ b
1+ aabb - = a)
= = Ygaabb -a)
est
a - 24 + 4 aab b
sit aa + bb = cC = C
fint  
rua bb - a = 4labb -
gnabbes - . (4. 2aabb
va +raacc
asa abi 4c = X D.
-ab
2bb CC
in aterum mobie ducatus in volocitatem
su dfferentiam iole
e
Nova molilis velotita claricas post ictum habetur
rcta in summam corpora
praestinam ipsius et ux excessus summa seper corporum super
dictum excissum indelocitatem pristinam
alterius. Hinc si excessus. aut rebera
sit negatious, etiam motus ibit retrassa