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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 265v, page id 00068196:0526
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=526
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as
sit AB X et EC Z
fiet restanus. LMN = dx dZ
et si ejusmaltitudo ponatur
esse si solivum fiat, ea lege-
ut senut super Aud–
vis lictum rertangulim
normaniter insistat recta
quae sit X.
ina quontur area
In vero
contentum solidi seu L X7 dX d
a
varut proratione curvae terminantis
y
sit primum quidem considerari potestZ
et dq ut constans seu fiet L G XX Z dZ
G
2a
quo compretendetur 2C65 maxima autem
X est CZ, Ergo fiet 2a C2. EC. 19, at
proxime fit: 95. CG. GF, jam
ea
CGCq vel G5 vocetur  V et EC vel EG vocetur Z
eC
u
et fiet area , vZdZ. Inter haec duo id
2
interest, quod inaquatione in (_yd
 relatio inter Z et e ponitur esse aliqua
determinata, ex natura curvae, bas
am
terminantis,
es
ed cum dicitur Xdxdy
intelligetur assumtaeq, orvine applicari quamvis
X, usque ad maximam quo sit v. itaque
Si sit SXZ dxd Z = = (vV7 dZ, posito assumta Z
maximam ex omnibus X ee ordine applicatis esse D,