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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 2
# Folio 12r, page id 00068074:0023
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mn
AB N 13 1ß via Generalis prodifferent autu
eniuicunque gratus drean
nedricentis.
Ad quadraturas, er faliendo R: a = 51dZ: dZ, ete. V
Generaliter obtiuui ut i omni aequave
diferentiali
dei gradus cujuscunque, obtrutae
possim aliam
s
ejusdem gavus sarentem,
meta tamen suppesitione pextinsente ad gradum inferiore
se ctn oe
factia tamen scippesitione pertingente ad tendum
anentiares
posse cemner reculi ad quadmouras
ue
Nimirum p
difelenti differemtiali
d
et seu semndi gradus comprobemus quomodo
spriun.
tolli possit litera a.
sit ergo
aequ. (1) inter E X: a; y. a; dy: ax. fiat
C et
R. a = (daZ: dy
ee
e
e
dy: dx = dz: dv.
27
et y: a = Sdaz. dv. fiet
(5V
singamad ad
posito ade b et ita hos valores, substituendo
+dc
(6)
in aeg. 1. data, habebitur aqu. in qua erunt
d
ddz: d2, daz: dv et dz: dv. pongatu
ta quam cuia differentiatione tallaeu
a
e
s
 habebitur aqu. (6) in qua exlabum
L d+ dudo ddzoddv Possumu
u
c
es
C
jam Linvere
Hic jam duae sami possunt
tentari vicae, ambae ut videtur
mobae cuna
es
altera communis omnibusiasper
ut se aspecialis gradiu primo, nee diffirenti
emus aeg. 5. Et ut tollatur una ex summis, fiet
a
adhuc cctionem dato. si ea summis liberetur
e
ut Idaz: du, fiet aeq. (6) in qua erunt ddz: az
d3: du, et ddz :ddv: aera Assumatur1
jam  aequalio valore constantis de