# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1041163592:0204
# Permalink to this reading: https://leibnizlegible.com/page/1041163592:0204?run=74
# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 170, page id 1041163592:0204
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=204
# Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000204.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.94
# 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.

PHIILOSOPMISE NATVRALIS
PROPOSITIO LXMII. PHEOREMA XXVII.
Positis iisdem attractionum leribus, dico quod corpus exterius S,
circa interiorum P ∞T commune cravitatis centrum C, ra-
diis ad centrum illud ductis, describit areas temporibus magis
proportionales, e Orbem ad formam Ellipseos umbilicum in
centro eodem habentis magis accedentem, si corpus intimum es
manimum bis attractionibus perinde atque caetera aciretur, quam
si id vel non attractum quiescat, vel multo magis aut multo
minus artractum aut multo maris aut multo minus aditetur.
Demonstratur co-
dem fere modo cum
PFOD. LXVI, (Cd ar.
dumento prolixiore,
quod ideo praetereo.
Suffecerierem sic aecti.
mare. Ex demonstra-
tione Provoltionis
novissimae liquet cen-
erum in quod COrDuS
Sconjunetis riribus ursetur, proximum esse communi centro gra-
vicatis duorum illorum. Si coincideret hoc centrum cum centro
illo communi, es quielceret commune centrum sraritatis corporum
rrium; desCrIbCTENE COrPUS S ex Una Parte, eE communE CenTrUM
aliorum duorum ex altera parte, circa commune omnium centrum
quielcens, Flliples accuratas. Liquet hoc per Corollarium secun-
dum Propositionis Lrrrr collatum cum demonstraris in PrOPOL.
LXIV _E LXV. Perturbatur iste motus Ellipricus aliquantulum per
distantiam centri duorum a cenero in quod terrium s’aetrahieur.
Detur praeterea motus communi trium centro, ee augebitur per-
curbatio. Proinde minima est percurbario ubi commune erium
centrum quiescit, hoc est, ubi corpus incimum ec maximum T lcsC
exeterorum actrahitur: Aicque major semper ubi trium commune il.
lud centrum, minuendo mocum corporis L, moreri incipit et ma-
sis deinceps magisque aSITATUF.
DE MOTD
SORPORDM
Corato