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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 26
# Folio 9v, page id 00068071:0018
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Eodem modo incipiendo ab inferioribus terminis in comparando
inse ab X,. X, X, etc. poterimus primum invenire 30, de inde 31, 32
34. Et al prius 34, 33, etc. ecant faccl habebant valores facilu
sequentibus, ita nunc contra 3031 et. Ha modo
autem semper  cuters dspense gne ita nunc
a summo nunc ab imo incipienda, media aequationes ultimae nunc ab
tmo incipiendo sommae summi terinini comparandi erunt novis ascitis
quin et si quasdam literas tacho
deferminemus der duas summas comparationes et 30, 31, 32 p
cr nova ascita formula 2
tres imas manebunt fres aequationes in medio precte. praestandae per 2
H, 33
mo possumus si libet tres quascunque comparationes servare ipsi 2, Et
possumus litera, 20, 21, 24, 23,E4, 2 25, 26, 27. adhibere aune ut jacent
seu ut datas nunc ut arbitrarias quae 2 in se involvunt et func possemus
indcluders parenthesi
D ess generaliter
tini palet  fedu + (2dx
Hine patet generaliter effici posse ut sit S8 dx 1D+ (2d VD = Y 1D, posito
ese gradus dati D ess d esse gradus dati a, et Q gradus dati B, e V esse ∞-β.1
sed quoad 2 non esse certum gradum; Certum tamen numerum terminorum +verb. gr si
sit  10+ X HXX + 9X erit 2 vel quX + + 40 + 41X vel 41X + nXY vel
42XX + 43X vel X 43X+ 44X  vel 44X + 4X. posito scilicet
9 esse 10 + 1X + C2 XX + 13X + 19 Xt, 15X. Hinc jam potro patet ex datis
erit AB-1 5 ex data summa ipsorum (40R +41X dx V3 dari et summam (HIX + 42XX) ax Y)
vic
et ipsorum (42XX + 43X) dx d et ita pono et ex uniqus paris summatione
ari altuis pars summationem. ita  posito D esse  ditum
Eat
((40 +aIX) dxeD=2YD - sea 3. et ((G_ tX) dx VD = (118) SD. sGax YD
posito  (1L8) esse alium valorem indefinitum inqui eodem modo ut hactenus de 8 ostendimis
inveniri posset Ergo fit _ (Gdx VB = -((40+ 4X) dx D + 8YD = =  Ha  Do (B
Eeo (40 dx 
uno paendgali ea
es
iliter
e a absolute
X IL 42X AUX
 ant  aut X etc
exdu
harret dx sumua posse si summari possit X
er
sete inte predum destinolique
esset
rctibi
Ergo  obu
+3C xeu
pa
sit per idem summari posse sisnam possitx
et
e inte
it, Nela
per 
Sse uno ax V uno summato quodvis alterum posset summari
FAtatamen E _ sed si esset D= iet ux + ixX+ 3X + 4 XI tan una int
fir 18+ nX + 40+ 4X +42XX, X A0, 4IXY 42XXI 9B conjagentur
et itque invicem pendebunt 4d, 45, +6+ quid muxsiplicata per ex 89, item
41XE, 44X, _C 47X, etc. mulsipl. per ide se parisure Alin 42x,
1ZX, 45X, X 48 Xd ezc. mulsipt. per idem
on sed possumus etramaliter
institueie conjuncturiem. Isemne 40+ 41X + Y2 Xx cum 4+ XX 43 X+ 24XT. Ego
4d + 41X 43X +44X invicem dabuntur sed 40 et 43 Pliam dantur ex
se invicem. Ergo dabitur 4 42 42, 1, 44d dabitur ex 44 et 4V sed 44. dabitur
alunde ex 41, ergo nisi conmit 44, 40X sequitur hinc 40X etq 1x dedatur
inorse, et purt pari pire mult: perti de D. multiplicari intit dependere
in summando invicem
sed non ausim huic rei fidete m Omnim ergo hae
Eligentius tendanda et in simplicioribus.
E posse est
judico etiam
non tantm cok + C40+ XAX sed et aY 48+ 40+ 41X, vel
poss
Cogirandum et  compendum
interdum aliqua exhis dari rct reductive ad irrationales simpliciores, et ita pero abso
a 46 + 40L +  x 40
latis haberi. Ut du 1 (X + baab) per xx red absolute summari potest. Et
Xdx ib rab XX + aC) sammari, et reducendo ad dy Digy + aby + ac)
psequenda
eac logo oa
nmperus
termino-
quibuscunque prodiui
edx