# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068193:0362
# Permalink to this reading: https://leibnizlegible.com/page/00068193:0362?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 178v, page id 00068193:0362
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068193&page=362
# Source image: https://digitale-sammlungen.gwlb.de/content/00068193/jpgs/default/00000362.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine
# Lines: 61 recognised, mean confidence 0.87
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

Sect. V. (ap. 1. De Centro gravitatis eto.
angulo GAH. Minime ergo verum ett, triangulum Gai
et
esse dimidium trianguli BAC, quod quadrato sub AD aequa
tur. Iaqi  punctum M non est centrum magnitudimo
et proinde centrum magnitudinis m triangulo propositt
non datur.
Prop. 3.
Suttentans eodem modo premitur ut prius, sitos
gravitas in centrum gravitatis redisi ponatur, seu si qne
ve ex manente centro libere suspendatur.
ipdra
at er
habet
B pc
A
librus
grao
tatio
In figura definitionis 1. redigatur grave ADE m an duor
ad minus quidem sed simile et similiter positum respet
centre gravitatis. C manentis, quod grave novum sit gra
vitatio specifica m eadem propontione majoris, in qua et
voluminis minoris. Patet eandem esse vim quae fuhem tra
hit m directione BC; idemqe est, si grave m spatium mi
nus dato quovis contranatur, donec. tandem in punctum est
dem eum gravi mitio dato gravitatis evanescere fingatur
Idem et no concluditur, quod posito corpus suspendi ea centro gra
C
vitatis C, tota utique vis gravitatis in puncto C funem BC tra
hit; nec refert cujus magnitudinis aut figurae sit quod pun
d
C
eto C adheret, modo eadem maneat gravitas, quam totam age
re manente gravitatis centro ea definitione hujus centri m
iifestum est, quia ipto surtentato tota impeditur, atque adeo
in impedimentum agit.
Srop. 4
Gravia quotcunque positiono datao, quorum quod libet
habet centrum gravitatis; habent centrum commune gra
vitatis.
Sint primum duo, et centra eorum (Fig. 3.) A et dd
ipsis
duo
ponr
Ita
intet
ut
Ma
date
SuM
ab
bere
jisque
cre
lec
14V.
Bed
et 1I
omi
qui