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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 8v, page id 00068073:0016
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ortiones Paraboloidum
ab sectae fruncatae
sit paraboloides quaecunque
NDM. quaeritur portionis
truncatae normaliter abscissa
ao DPG MD area
sit ND aequ. n. PD aequ. d.
N G aequ. X erit eM X
seu ZM aequ. Xd.
a
P)
ni
jam NZMD Nq M N aego EX LI et NDdHaeg
Ergo jam DPZ M D aequ Nq MA = N PDN
Ergo DPGMD aego L ZX = L PL
c
X, Xd aequ X
313
n3
Ergo DDGMD aequ XId - p
u
3 1
dx -n’argo X+ Xn+ XNF N X - n d
seu  jam
a
et d, X - n aequ. L PL.
D PGM portio truncata
aequ.
Ergo fiet.
XtXn+XN +n
3 1
LC PL
seu portio truncata, est ad tertiam rectanguli
et
in scripti, ut omnia Quatuor rectangula solida
geometricae grgrossonis quorum nt quaturr
solida geometricae progressionis quorum extrema
sunt cubi altitudinum totius et abscissae sunt
ad cubum abscissae
aliter: DPQMD aequ X - B
dn aegu. NPo
seu ad portionem
na
Seu figura truncala
est ad tertiam
rectanguli
figurae cucum scripti (seu ad Dn)ut
altitu
ferentia quadrato quaumtorum
dinna totispet abscissae ad  quadrato qua
abscissam
C
ceq
et
statum ab ultrodine totius
scisse