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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 171r, page id 00068196:0339
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=339
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine
# Lines: 59 recognised, mean confidence 0.73
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E
Decembi. 1679.
a (X dus + Sydx B Xy
Ky dx H
exydys
se
Ssx dydx +syax (Xdydxessyax
Saxdtus + .y dyax
(xY dx B dx
Xy ax f y dx
de
Ett
la
1C
s
skdus (xyd
X dy
ulfXY dX
CCp
yax
Idy
e
Ex
2. itum
Xsiy
Y s
(X y - XZ
aequanbu ubi
valires fiet
distantiae centri
e
gravitatis figuriu
ABsab axe
exy ex sydx - Yax (Xd AG. posito curver
syax
L esse locum
Xy dx p, dZ Sydx + ydx Z
omnium centrorum
dx
sy do
)
de 1
Xy-yZ
2Theorema Centrobarucum mirabile
ex dato centro gravitatis invenira
aream figmrae. sipasdata modus genera
inveniendi centrum gravitatis, cujus libet portionis AB
figurae propositre trelineae. Itaque omnia puncta
L. potermnt inveniri, nempe iL. Lcentr. portionis
A.BiC. et 2L centrum portionis A2B2C. itaque
et curvae per ons L2L per omnia puncta
Ltamsenutis natura data est, quare
as
lx
et tangens a puncto in ea gato educi F.
potest
sit ergi portio asib ujus quantur
rimensio, ditum est ejus centeum il
a