# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068193:0364
# Permalink to this reading: https://leibnizlegible.com/page/00068193:0364?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 179v, page id 00068193:0364
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068193&page=364
# Source image: https://digitale-sammlungen.gwlb.de/content/00068193/jpgs/default/00000364.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine
# Lines: 59 recognised, mean confidence 0.89
# 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. Cap. 1. De Centro gravitatis eto.
ratione quavis possibili, necesse est alicubi esse rationem
aequalitatis, seu aliquod esse, punetum aequilibris C. surtento
C
to scilicet A, vis ejus ad vim ipnus B. erat ut nihil ad ali
quid; crevitque decrescente vi ipsius B, donec ista contra p
at ad vim A, ut nihil ad aliquid, et cum mutatio sit cont
nua, utique per omnes rationes intermedias tranoiri oporti
adeoque et per rationem aequalitatis. Coeterum qualis sit rato
aequilibrus, nempe ut brachia sint in reciproca ponderum ra
L
tione, ad hanc demonstrationem nihil refert, quam quam i
potuissemus asumere velut demonstratum independenter a
hypothesi centri gravitatis.
Prop. 5.
Omne extensum grave habet centrum gravitatis e
quidem unieum.
sit (Figs. 4.)f
S. Srgura plana vel solida, gravitate prae dita
SF; hac resolvi potett in rectangula vel alias figuras al
phidexias sive centrum, figurae habentes; moeribendo v. p
es
iph R.. maximum rectangulum 2, et residuis portionitur
maxrma inscribendo rectangula 2. 2, et iterum residuis
maxima imscribendo 3. 3. 3.3. et ita porro, ita ut quod su
perett, minus fieri possit datâ quavis quantitate. Jam qua
libet horum rectangulorum habet centrum gravitatis (per
prop. 4.) et plura positione data quoteunque, quorum singula
habent centrum gravitatis, habent centrum gravitatis com
mune (per prop. 4) Iaqi aggregatum rectangularum, hoc ett
figura data habet centrum gravitatis. Quod si extensum eti
linea curva vel superficies gibba, potett pro ea adhiberi am
bitue
libet
resa
can
bitu
tate
ed
sit.
non
la p
Coc
A
po
tate
pans
um
Ver
enis
Mers
tota
teu
qua
pot
scet
18
lad
Effer