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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 47r, page id 00068199:0093
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dy: dx = XX: aa +yy:aa. soit X = dxdx. dux
il yaura duidu d differentiem erit q
dy dxddue = dyddx,: dxdx  2Xdx: aa +2ydy: aa
pr
sol Xadx= dxux mallons cesse valeur
seu X = dxdx: dax. substituatur hic valor in
aequationibus 1et 2. et siet exag. 1
dyi dx= (ax)=dX): (. (dex)  Da) Fyy: au. Et
4
ex aeg. 2 fiet: dxady = dyddx: dxdx = 2dX C: andix)
+2ydy: aa seu dxddus - dydax = 2dX (: a addx). +
29 dy dpax: aa. opetarum duam aequs. tollatardu
Aniter poteimus. habere du sine x et
dux, si faciamus dax =0.
sit Ergo dy: dx = XX: aa Fyg: aa sit ddx 
 Xx = aa(dus: dx) =gu et eut
X = _Y (aa (dy: dx) =yy), adeoque fiet
dx = aa ddy: dx = 2ydy, :, 2Y (acdy: dx) - yy)
seu dpdx = aa ddys fldus: dxdx) - 4 aaus dyeldus : dx)
+4yydy dis,: da dy: dx =gy, seu
apx = aa ddyddue - 4aay dydx ddus + 4yydydurx
 aadudue = yus dxdx, adeoque fiet
tandem
Anl
aa addysditus3
+ dx aadydx + Fyydlysdus dxax. Taayun i X
A