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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 212r, page id 00068198:0423
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groustum
ddx: dx
g. 1. sit xxdax +2x dxdx 4 yydax + Eydgax La
 2X dx + 21
dy: Mxtgus 
dddx. dxdx = 2X + 2ydly: dx): XX dy y
seu
dius aa = xx dlx +2X dxdx + yu ddx + 2ydyde
ea 2
vi yydx de aa comstanti fieret Syyde = a  aa e
et habebimus
yaqtbaa = x3 + aa e quod si de ponantur constans fier
ddgaa = Xx ddx +X dadx
lollatur dar
 dydx. y fint
Byx= aade Ergo 2fdydx + py dax =
qu dyar xax,: dx = ddque aa Xddx- 2Xax ax
-27 dydx 3: dux et fibt aadyat xdrax= aadxadyxddx
2xaudxaex
quaxe du
Au labemqus duas aquationes du aa = XX X + yydx
adue aa = Xxlx + 2X dxdx t gyddx + 2yd ydx aeqmo
cuiqoae ptollatu
ex
idam F videamus au liceat fingere novam differentio differentiatem 
et
utcuinque ioa videtur, nam id  tunc possuum possiumis
ponere eam fornutam nihilo aequalem esse differentia constantis
don summam ejus  differentiam secundam
2ydydx saax
Ex dx dx + fiat adgaa + En x d ddx
 si  summes differentiam primi gradus addenda est parameter constans
sin summes differentiam secundi gradus a addenda esst imceterminat
differentia indeterminalae habus constans  seu differentia cujusdam
ayt
inveterminata
et
scribatur ddyueaa Dayddx = Xxddx + 2X dxdxtyyde Id
t et fiat ddyaa = ayddx.
a q
. +24dydx = agdax =0 seu dx ad adax: ax = 2dus sed pnor
non est
linctabilis. Eirgo id aptis est ut exaegq. duabus una differentrali
altera inde deducta differentia differentiali formemus duas
differentio- differentiales quae sint ambaes tractabilis, ita enim
summa quavis duo rami duagum det, iitam de
au
summcibues, cum enim
constantem differentia, sublata illa lope ambam habebitur aequalio differentialis
es
nova
Para libera, conjungenda vatae lavendum tantum ae nova coincidat ipsi
prima pa
ea