# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1041163592:0408
# Permalink to this reading: https://leibnizlegible.com/page/1041163592:0408?run=74
# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 374, page id 1041163592:0408
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=408
# Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000408.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.91
# 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.

37 4
PHTLOSOPMISE NATVRALIS
DeMorv proclediente, centrum Mundi quoque morebitur contra Hy
PROPOSITIO XII. THEOREMA XII.
Solem motu perpetuo aritari, sed nunquam longe recedere a com
muni gravitatis centro Planetarum omnium.
Nam cum (DEF COrOL. 2. PFOP, VITT.) materia in SolC siE ad
materiam in Pore uc 1033 ad F, ee distantia Toris a Solc st 2d
Cemidiametrum Solis in ratione paulo majore; incidet commune
centrum graritatis foris ec Solis in punctum paulo supra super-
ficiem Solis. Fodem argumento cum materia in Sole sic ad ma-
teriam in Saturno ut 24Fr ad 2, ex distantia Sacurni 2 Solc sIF 2d
Temidiametrum Solis in ratione paulo minore: incidet commune
centrum gravitatis Saturni ex Solis in punctum paulo intra super-
ficiem Solis. Ec ejusdem calculi restisiis insistendo si Terra et
Plancex omnes ex una Solis parte consisterent, commune omnium
centrum graritatis rix intcora solis diametro a centro Solis di-
Aaret. Aliis in casibus distantia centrorum semper minor est.
Et propcerea cum cenerum illud praritatis perpetuo quiescit, Sol
pro rario Planecarum sicu in omnes partes morebitur, sed a cen-
ero illo nunquam lonse recedet.
Corol. Hlinc commune graritatis centrum Terrae, Solis e Pla-
netarum omnium pro cenero Mundi habendum eAt. Nam cum
Terra, Sol et Planetae omnes gravicent in se mutuo, ee propte
rea, pro ri gravitatis luxe, secundum leges motus perpetuo 2gi-
centur: perspicuum est quod horum centra mobilia pro plundi
centro quiescente haberi nequeunt. Si corpus illud in centro
locandum esset in quod corpora omnia maxime gravitant (uti
vulsi est opinio) pririlegium istud concedendum esset Soli.
Cum aurem Sol moreatur, eligendum erit punctum quielcens,
2 quo centrum solis quam minime discedit, et 2 quo idem ad.
huc minus discederet, si modo Sol densior eset et major, ut
MINUS MOVOTCTUT.
1
TETEMATE PBchesIn.