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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 193r, page id 00068198:0385
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 194v); this page is its right half.
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# Lines: 79 recognised, mean confidence 0.75
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vel FC,
vel AF
AB. X, BC, y = Saa FXX = Vaa =XX. sprimi.) Et siet (2do) yy - 3aa - 2 s - x
yydx + SXydy = _X y (tio).
(Alo sjaeut ( 12 syydx = Paax -5 Sa2- x dx
(5to)dy = Xdx: saa + XX + a Xdx: Sua =XX
(6to) Xydy = (xx dx) = Xx dx Saat: Saa  = xxdx Laa - Xr: Laa t ur (= XXdx)
bendersum
 = (7mo) xndx s X Xxdx Sa- x, 1: faa - x1) - 1: (aa + XY) = (Bvo) axtx 1a. P, 2XE  a  
Ergo per _  ex aeq. 3. per 4 et 7. finsa pax -s (a -  dx) +  dx sa X: a. X) = : x
seu siet  x ax  t+s à  X, x,
aa x As a + 3X7, lx, 1a :, a -  = L xyy = (aa x =  X sa 
da faux d, x sa = sae - dx x x a X
d,  Sat = -dx,  x salot -sx, L Sa p + 2Ax. _sa- 
= Sa - X - 2X: (a x v0 = a - 8 - 4 + + 4 X ( ). s r- a 6a r + 45,:, a x
= a (2aa XX + X + 2 aC X X B= 2X = X), :  X, aa -
d, X Sa = X = de, Sa - X - XX : a X = vdx fiil vv = a - X - 2X x + X (: a4 - XX) =
=  - 2aaxX +  = 2a a XX +2F + X,:, aa - xx = a - + aaXY + 4 X, :, aa - Xp
ubi rarsus extrahibilitas.
= ∞ fit v0 = aa - xx + 2b + bb
XX
seu
aa - XX
seu vv = a - 2aa X XF t + Abxaa 2aa bX - 2bX  + bbXX, :, XX aa - x
Vaunx
du s, X + b  + C - , 3X + b, ZXabur xd,  t - d, x iburc
 h
sed hic semper numerator extrari potest.
b
+
+
R. etm XIn Xtp
K xX + xm X + K mp
in
du, X3 +bx +C: (XAbXC
n
mi
e nn
un
EX +bXX
+hXX -hmX h+K+C
hn
atmn
tn
seu k = - h -
+RXY -kKmX. mip
=KnX Arim
+lXX + lmX +lmn
K = 1 - k.
h+ K + l = 0 hn+h +Km +Kp + Im + In
l= =h- K et fint (trr) + hp(F K in f. K p = tim ( K m = hr) = K n
et fiit K = h, m - p, : p - n et l = hFhM - t m (t hpd; p- 1
Kx +hn k-- h. fit seu L = h, n -m, : p-n seu et
L XX + Em X + l ma
am xtm X+u
+
Xtm Xtn X - m - n
K
h XX + hu X + tup.
+ R
X
+ km
exame omn
a
et h=
X FB SpC +b, XC + n YXrb, X+d =n LXIC,XId
X X + q sit A = ay r bb 9 srC fi R = 0. D fit 8 + 1OV + 43 . 3.
sit G=
=0
Im +n+mhomlnhtul
Ctom =hn =0
Zem +2ln =0
m = - n
hntton
an- hp
xa m-n
nm
Armn- hnn
fit l -.