# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068166:0018
# Permalink to this reading: https://leibnizlegible.com/page/00068166:0018?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 13
# Folio 9v, page id 00068166:0018
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068166&page=18
# Source image: https://digitale-sammlungen.gwlb.de/content/00068166/jpgs/default/00000018.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 68 lines, status machine
# Lines: 68 recognised, mean confidence 0.83
# 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.

a
debere esse pondera G. L M ut rectas
FFE, _t, HF.
ita qui demonstrationibus
non cedunt, poterunt expimente credere
perimentis, ne cum opproprio Mathematicarum
scientiarum
frustra
anes disputationes reciprocentur
latet hinc pondera L et M simul majora
esse pondere
tio
G. nempe duo trianguli latera
Neque id cuiquam mirum videri debet
aec. inceusa de simalices plano snetr
N
tendens
nclinato sit Globus descendete planoeinclinato
n
regula inclinata Ops m
constat momentum sit er hrangulum
bv
1+3
e
Ectangarum 27S, cujus verticalis 07, horifontalis
IS, aj0  si globus globi N pondus sit ut es
jus momentum qudeseu vim descendendi
 in plano esse ut 0T, r at resistentiam
a
 seu pressionem plani esse ut TS, seu si
NVE
ponainus alobum N chorda N0 Niplano inclinato
parallefae et deinde a trochlea V perpendiculariter
ene vo
dependenta trahere extrem itati a appensum pondus R
cujus pars NV plano inclinato parallela reliqua
V ad  a trochlea V dependens VR, sit horzonti
perpendicularis, trahere pondus R blanum antem
Os p esse brachium mobile cirea centrum librationis p
opositum brachiuni horivontale Z esse Z
esse G aequal. ipsi  es  et a q penderes
pondus g quod repraesentat resistentiam plani.
rec
ras
ajo pondera N, R, 9 esse ut quae est regult planiinclinati
Et quidem R esse ad N, ut OT ad 5D tolies jam
demonstratum est, totus diversis modis inter se consprrant
nous, ut inhil et add operaes nemo nullus sit,
dubitandi locus; sed
esse ad N ut TC ad 50
sic demonstratur. D. sit . loco trocilea sit
 punctum cui alligatu chorda  sitque mbbilecirae qualis
iasi vel si mavis brachium rigidum VN, aequal ipsi e
dens in odem modo plemare
eE Manifestum ess globum.
planum os, ac si incumberet plano XY pernenticular
 ad planum Os, sit Xas aequal ipsi o5 situ  et compleata
X, in qua XZ verticalis Yy horizantalis esit momen
aleer in plavo et XZ aequalis ipsi TC, ut YZ ipsi OF. Cum ex regula
d plani inclinatu sit momentum globi N in slene. X seu pondus e ad pondus glob
absolutum, ut N ut XZ ad XF esi 
do
lasserudramu.
equilibrio,
gula
Et
6
Miang XB, Y