# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1041163592:0056
# Permalink to this reading: https://leibnizlegible.com/page/1041163592:0056?run=74
# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 22, page id 1041163592:0056
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=56
# Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000056.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.92
# 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.

PHTLOSOPHILS NATORALIS
AXIOMATA In Aetractionibus rem sic breviter ostendo. Corporibus duobus
quibulris , B se mutuo crahentibus, concipe obstaculum quodris
incerponi quo consrestus eorum impediatur. Si corpus alceruErum
A magis trahitur versus corpus alterum B, quam illud alterum B
in prius 2. obctaculum magis ursebitur prectione corporis A quam
prellione corporis B; proindeque non manebit in aequilibrio. Pex
ralebir prestio Fortior, Pacietque ut syctema corporum duorum ec
obctaculi moreatur in directum in partes vertus B, motuque in spatiis
liberis semper accelerato abeat in infinitum. Ouod est ab surdum et
Lesiprimx contrarium. Nam per Lesem primam debebie syctema
perlererare in Cacu suo quiescendi vel morendi uniformiter in di-
rectum, proindeque corpora aequaliter urgebunt obstaculum, ex id-
circo aequalicer trabentur in invicem. Pentavi hoc in Mlaonete ee
Ferro. Si haec in rasculis propriis sele contingentibus seorsim po-
sica, in aqua stagnante juxta Auitene; neuerum propellet alterum
Sed aequalitate actractionis utrinque suctincbunt conatus in se mu-
EuOS, dc tandem in aequilibrio constituta quielcenE.
Sic etiam gravitas inter Perram e ejus partes, mutua cst. Sc
Cetur Perra LL plano quoris PG in partes duaS F. (F _C F GI:
ex aequalia erunt harum pondera in le mu-
tuo. Nam si plano alio FK quod priori
F C Parallelum (IE, ParS MajOr F, G Y CC.
CetuE in parteS duaS F.GKIY C IIKI.
quarum K  aequalis sic parti prius ab-
Scistae F FC: mavifectum est quod pars
media PGKE pondere proprio in neu-
eram parcium extremarum provendebie,
Scd inter ueramque in requilibrio, ut ita
dicam, Tuspendetur, ec quie(Cet. PArS AUTCM CXErOMA ZI R T EOEO
suo pondere incumbet in parrem mediam, ec ursebic illam in
Parrem alteram extremIM P CTF; ideoque vis qua pareium
TIKT _E F GKH Cumma F GY EendiE verFuS Partem Ferriam
FGF, aqualis est ponderi pareis _KY, id eA. ponderi DarriS Ter-
cix PG F. Ee propterca pondera partium duarum P CF I, FCF si
in se mutuo sunt aqualid, uei volui octendere. Ec nisi pondera illa
aequalia CRenE, Terra tora in libero rethere Ruitans ponderi majori
cederet, ec ab co fugiendo abiret in infinieum.
DE corpora in concursu de recexione idem pollent, quorum ve-
lOciEaTeS (IINE recipTOCC DE vires inste: Sic in movendis InArU-
meneis Mechanicis asentia idem pollent ex conatibus contrariis (e
mutuo sustinene, quorum velocitates secundum determinationem
virium