# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1041163592:0488
# Permalink to this reading: https://leibnizlegible.com/page/1041163592:0488?run=74
# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 454, page id 1041163592:0488
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=488
# Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000488.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 21 lines, status machine
# Lines: 21 recognised, mean confidence 0.89
# 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.

454
PTITLOSODMLA NATORALIS
D MonDI Constructionis hujus demonstratio ex Lemmatibus consequitur:
quipe cum recta AC lecetur in F in ratione temporum, per
Lemma VEIs UE OPOrtCE per LCm. VTIT: _ BF. per LCM. XI.
sIE DarS recta BS vel BE in plano Pclipriex arcui ABC e
chordae AF C interjecta; _x MF (per Corol. LCm. Z.) longi-
cudo st chordx arcus, quem Cometa in Orbe proprio inter ob-
serrationem primam ac tertiam describere debet; ideoque ipsi
MN aequalis fuerit, si modo B sic verus Cometae locus in plano
cliptica.
BYBTEM A Z
plano Fclipricae delcripcum RCCac rectam =B, PEXtCrPrOPEeE in-
notelcae; in angulo illo cucensea etu recta occulta AC, quae sIF
2d3Lr in subduplicata ratione s ud st. LC agendo rectam
SFB cujus parS F. B aguccu consicudini VF, decerminabieur
punctum B quod prima vicl uaput Cum recta AC de
Excerum puncta B, B, B non quaelibet, sed vero proxima eli
sere convenit. Si angulus AF in quo veltisium Orbis ip
leca ee lecundum pracu coule tu aucla e
denta