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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 177r, page id 00068196:0349
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figura AB(duaatur in figuram ABD
sit AB aequ. X.
yda vel S X dZ
A CB erit
Febr. 1678
Ductus per calculim
differentialem
BD.
V dx
fiet solidum aequa
CB. y.
spatium ABd erit
Duntur Figura
ducantur
X in V.
V dx si scilicet
secetur secundum plana basi fate. D
l
CBd perallela et ad plonum paginae perpendicularie
Si vero seces secundum plana Et ipsi AB parallela
et plano paginae perpendicularia. Exempli causa ita
ut plani secantis et pruni parinae recta
communis, sit EF erit ibi sectio, quae solidi, quae
psi EFd recte imponetur) planum GHCB.
Est autem id planum
solidtum totum erit
s
ydx . Ergo
Ldx dy
denique e
basi pmle sectiones plano paginae parallela
investiaard possunt, quae sunt u
eodem modo relatae ad ABD actm considera
tam velut erectam et ABC velut jarentem, ut sectione
plano perpendiculares ipsi ABC erectae paralle lae
ad ABC erectam et ABD jacentem, id est ut harum
summa dat
2dxdu ita summa illarum 
1
S.
saxde
ponendo seil tantum 2 pro y in hoc enim constisat
relationis differentia. Quod elegans est ratiscinand
compendium ex argumento a simili sumtum
Ergo
(2
ydx aequ.
syaxdys aequ.
s
ex 
quaerendus est tamen modues ista per calculum obti
nendi. quod bit sumendo temper ab eadem parte