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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 89v, page id 00068196:0176
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dp y + plus +b dZ + quax = dodys + qudys ( bdz + ndx = 0
aquationes in unum fiet a dx y tpdus taqudus + (m + n)  = 0 +
e
ffy + rgdy + rhady L Y. R ax
adquusfiet aqurh, seu Y = (a. 6) q = (a. f) dp
dpis + potus L M. d,Y rde 2S dedus + qudus.
ditp d sit  = bh. erit do =  dus Bt et dlv = aly d + lytus bV. et 2e = illus At dydus iissu  abus
et sddus = dy x stplys 10d0
10y+ udus Ferddus =0 sit ga be fiet 10 + i des +t dx + 1 dodo
30+311
0= 10 + 11 + 12 d + 1Z p, videndum in sctvi possit.  20 +2 + 22 dp, in 319 3 fiit 
fer 20. 30 + 21. 30 so Eil + 21. 3(B L72. 31 Pdius
+20.30
sit y = qu _ dpv + pdr
a d yy aytus bdZue + max = 0
dgy+ quy = bdZ + ndx = 0
ptyY + usu x  Zogydus + Nadys + 124 = 0 2 20lyy + 2. Fy + 22Sydys + 23 dy + 24rax
Exr = 11g: 28 -71 2. 10G. 22 fiet  2, 23. 22 = 11  10. se 11 = 2. 10. (23. 21 ) et 1 - 29 10
Ec 3 fiet 2. 23 (05 +29 d i 23, + 29.10 d(23) = 21. 2910. fitaF-  a1o
diogys + dugy
rusus 10f.  d0 g = 20 3 9 10 fist f.g = 2. 20 = de sed ita utrobique evanescit 10
22
10
22
iosus + 10 fdy + a3 + + 12 adx (0 ~ Zory + urdy + 22r ddy + 23 H dx
alogys + dugdy  11 9 ddys
+2 11g: 22 = 11f + d Ig: 21 fit f.
 seu fiet da - di0 =
21
sit ip = b erit logip = v et d lg p= de et fict dv = y
E
t
2
d(23. 22)
22
= 10f. + d10 g,: 20 fit F
n 10 sit H = , firl a loge = EL - 2
sit 21 = 0. e frat
(dv 2
u
20
12
iee giu lvemus tant aequationem reg 12  423 x  Est enor in calculo
resumamus ut calculi securi simus
quia datur sed + gdco +.. dx =0 est aequatio quae resolvi potest, ideo
faciamus co = 10y + 1dy, fiet 10 fy+ 1 fan
diogus + au qus  t 11g daus. F2adX. = 0
1020 dv
sen fiet  et fiet 21 - 10t - 11 20 = dit = dio. ( sit ( 1 = 1 et fiet
11
10
10 2
2t -   - 20 1 = d log 4. sit p - be et firt2 seu 2 - =-
22
4
20 1 du 10
2
4
in dip = 2 1 - 1 - 20 44
circa absolutum terminum nulla est difficultas. Ob daus, fiet X= 1g: 22d ot Ergo obdus fit 1. 21, = u frog +du i eula B et dej 2) 31 deo + d (2 ) 2o + 30 dir + d2o )12  7, dao + d X. 40 + 20 d41 + d (2 ) 41
quae aequatio sit coincidentianda datae multiplica per Y, 20ry + 21 rdu + EErddus + 23rdx. = 0
ebfiet a f = 21 - 10 - du. Tandem ob y fit 11. 20g = 1 f +yd 10 seu f = 1. 20 - lo
22
qrodsi, un eset 21 -0, foret  e 1  focet   20 4 = d log . se B. d
22
1
Ardantur hae dut
20. 16 = 410
e