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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 26
# Folio 8r, page id 00068071:0015
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Quaeritur SEaxYD.  Hoc ut tentemus consideretur differentia ipsius OY.
1 e2
_ jam d (0Y1 =, d0 H + Od (VB) jam d(83) = d yli e = C 91-e,. 8. d D = e
Ergo d3 4
d 83 = d8D. itaque d (OYD) = d0 1 + 88 des
Itaque opor ut evitetur fractio fiat C = efD. Eritque ed (7) YD) - (ebdD + DdY + 43D) e
((e+ 1) 4 d + eDd8) VD. Hoc debet aequari ipsi QdxV D + 2 dx VD posito  esse
F et d esse data, sed _ et 4, esse quaesita, et quidem E esse simpl 2 esse simplicius.
ipso  quando id fieri potest. Ita saltem propoQt padritura proposita reducebur
ad simpliciorem. sit e gradus a, et D gradus B et E gradus Y, et 2 gradus S.
As est gradus dD est gradus proxime infra gradum  ippius D. itaque dD est gradus β-1
8d) est gredus 1+ β=1 et D dB est gradus β+) -
porro aequationibus compora
titsis opus est  I, adeoque et solidem arbitrariis literis. dut Hinc aequationibus
comparatitiis oposest +β. Quod si ponanus β3+V -1 = a Eri Y = a - 3+ 1
et aequationious comparatitiis opos est 2+1, sed arbitrarias habm literas ob 8
habemus )+1 seu a- β+ 2, re supersunt ergo adhuc quaerendae  tol
quol prodeunt et ob 2 habemus d + 1 ergo habemas arbitrarias literas
 a = (+6+ 3 quae debent esse a + 1 ergo fict CBS = β - 2
saeterum haec vera siil etsi gradum aestimemus non
sit ergo .
tantum ab uner n exponente maxima potestatis, sed etiam si aesti–
memus ab excessu maximae poteslatis uara infimamo, seu a numero ter
us
pincrum demto infimo, computatis intermedius etsi non adessent. Uende sequitur
pro 4 diversas formulas posse assumi modo esuiedem numeri terminorum. Et haec
locum habere etiamsi exponentes graduum sint negativi, sec si inter terminos artlie
geomeliice desen decrescentes computentur X, X, etc
sit D = 10X Q = reX 10 + 11X + 12 XX L. 13, X r 14X + 15X et  = 20 + 2XFyN V
et fist 8 = 3 +31X + 32XX + 33X et 4 = 40 + 41X, et fiet:
et 1, 1, 21.30 + 21. 3X + 21. 32XI + 21. 33X
2230 22. 31
23.30
21.3 2. 31
2. 32
21. 32
20.33
22.32
F22. 33X
2331  23. 32
23.311
22132
21. 33
reruo
23.32
22. 35. 21
25.33X
3.1
33= 15: (e + 33
C (te3C)
32 =14 - 215, 2(e117) 13C - 5et
312
inier, se
3(et 1) +2C, 23 L5et1)2)
(6CH1) 14. 23 - (eF 1) 15. 22
Set1, 6e+3. 23.23,15.
15. 21 1ber1) 4. n et
3(et 1)23. 3 (er1), (eu) 23
3e
3 3C 3C
si
20. 31
H1 X
C.d
12XX
de
(e+
le
e i
seu 3
15X
de n 3 =83-
3x - 14 ler)  14 Lord J1 23 - 2le+1) l1g
2=
etisensa
3 en Z 23
en 6)  3set
set
312
S
= 2(C+1) 15, 22
C
este s  cesarus  rter
de
i
s
2C
31= 45
unde vigula habetur. Nemp 13, 14, 13 sunt in quo.  
membro denominatoris et 2s si quaesitientor sit
otee au etee pi
31= 13
2 f14. l. 3L en f15. 22.2 8s. 2C
re 23 C8417] 3 (er1) 1 23. 23
30-
ler 9313.23
33 (C+ 1)223
3 (er 1)) 2 (et 1)7 (4. 2. 23  Heniprtes
3C 52c
3ler )eti) 23 (et 12
3e
2e
Ad. sive notm Nexta n. Erit ipsius in 9 maximi.
dc. 7
= 15
et) 14. 23
3 (e +1) 3 (C+1) 23. 23
3(ess
353
31 3(eriM3ter1)) 3(enR 233
B. 22
2e s es