# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068532:0155
# Permalink to this reading: https://leibnizlegible.com/page/00068532:0155?run=74
# Title: Leibniz-Handschriften zur Physica LH 37, 3
# Folio 80r, page id 00068532:0155
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068532&page=155
# Source image: https://digitale-sammlungen.gwlb.de/content/00068532/jpgs/default/00000155.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 80 lines, status machine
# Lines: 80 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.

e patentiarum
et rectarmu EF 4Z.
s pA A5
EN SF
composita
5E
Erit ergo vis 
Comme CE
de mime doit estre le porits A, au poide B
tout le reste estant posé le 
qualo
ce
Ra si circulus describatur, cujus radio FE-GE erit
erunt ut arc, subte sobum, C E, et ED, ita pondera A. et B ut fat
aequilbrimcu
comme CE est à DE demême doit effe le poits A au porrs B
à fin qu’il y ait equilibre. Les bras estant posez égaux
car s’ils sont niegaux
= L. EC
=
IcEG rectus
G1 = FH B. DEF recti
Ergo E
t H
EE = Et nam in atimeu Nvo patione ungen
GettantelaFe ED LM acgu sie ejus loco portione se
HN = LM iP= EL
Ergo HB in 
E
1
=
HX
et
(3
suma
ip
EL a
Ln LN (3
Ergo CC a = IP. ua a - FC
D
C
HN
CEO FE = rP. HErgo debent pnd B
ED GE
AN moeitendum
n habebitur aequilibium
DGE
vel potentiae A exereitium ad
(E ad EDpGE.
loco CE substitui potest EE quia Dh DCE et DEC simuilu
ilam c5
0
Ed
Es
TDI XGI s+. si FE. EG. coincidant in unam rectam FG, erit vis
potentia seu gravilatio ipsius A. ad potentiam seu gravitationem ipsius B, ut adcum ad scipsum
quod est absundum. unde ena in raliolinatione latere debet: is in eo porsisti
reciprsce ut FG ad EG tunc enim fit CEp ED cum angulus FEG infinite obtusus. idque verum
esse aliunde constat.
superest videau quomdo dens sive rectis sut ducendus
ligurai debesit, ut semper eadem viduatur. quid si dens seu vectis dicendus sit limea
cuvoque, ut FXM. tunc patet eodem modo encendas perpendiculares tum exFM nempe D
(vel no) tut  vel GA nempe su different vel GX (nan differentia infinite parva) nempe
nempe L donec occunant rectae cuidGdC quae sit paralleta ipsi XM cangenti
Cuvae et snt potentiam A ad potentum B. in compo seta ratine ex FMd M et Md (sive L)
ad MC sive LC)
Hinc id est si ex puncto incuroa dato M ducantu
rectae ME. MG, et ad has perpendiculares Md. MC. parallelae langentis occurrentes
erit ratio potentiara composita et MFadc et MG et Md ad MC. quae ratio si semper
aegialis euitam datae, erit auba tatis, ut Henper aequalis sir actio, quontar quadis ea curta
verte
positis FE, et G. Comne 
Na
illo vires ut anguli.
anguli vero in directa
ratione accuum
et reciproca radiorum
arcus autem ut sunt
ps atis
he