# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1041163592:0454
# Permalink to this reading: https://leibnizlegible.com/page/1041163592:0454?run=74
# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 420, page id 1041163592:0454
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=454
# Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000454.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 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.

420
PHTLOSODMLE NAEORALIS
DE MorDI arcum C8; id est, ut diameter B D ad semicircumferentiam
BGD ac tempus horarum 207950 quo Nodus pergic à Quadra-
curis ad Sy2rsias, ad horam unam conjunctim; hoc est, uc 7 ad
21 8 207970 2d 1. Ouare si rationes omnes conjunganeur, ACF
Variatio cora BD ad 33, 101. 33 Ut 224X7X 207010 2d
rr00oO, id Cst, ut 29645 2d 1000, e inde Variatio illa BD
prodibit 16. 232
Haec est Inclinationis Variatio maxima quacenus locus L unxe in
Orbe Cuo non consideratur. Nam Inclinacio, si Nodi in Syrvoiis
vertaneur, nil mutatur ex vario sItu LunX. AF S Nodi in Gua-
dracuris consictune, Inclinatio minor est ubi Luna verlatur in Sy-
riis, quam ubi ea verlatur in Quadraturis, excesu 2. 43; uti
in Propolitionis superioris Corollario quarto indicavimus. RF
hujus excessus dimidio 1. 213. Variatio cora mediocris BD in
Ouadracuris Lunaribus diminuta AC 15. 2, in ipsius autem Sy27-
eiis aucta fc 17. 45. Si Luna isitur in Syzysiis consticuatur,
Variacio tora, in transieu Nodorum a Ouadraturis ad SyZYgias,
erit 17. 45: adeoque (i Inclinatio, uti Nodi in Syzysiis verlan-
TUT, SIC 5er. 17. 20; eadem, ubi Nodi Cunc in Ouadraturis, de
Luna in Syzysiis, erit 48. 59. 35. Atque haec ita le habere
contirmatur ex Obterracionibus.
SxOxEMEL
et Noc uverio reau, Hac  ad AD uc linus graduum 4
xequalis duplicatae distantix Nodorum a Ouadraturis; et erie AH
Sinus Inclinationis quaesitxe. Fluic Orbis Inclinationi aequalis est
ejusdem Inclinario, ubi Luna distat 90er. a Nodis. In aliis Lunx
locis inaequalitas menstrua, quam inclinationis rariacio admietit
in calculo Laticudinis Lunae compensacur ec quodammodo colli-
cur per inaequalicarem menstruam motus Nodorum, (ut supra dixi
mus) adeoque in calculo Latitudinis illius mexlisi pocest.
Si jam desideretur Orbis Inclinatio illa, ubi Luna in Syzygiis
59. 35 a setum graduum 5. 17. 20, de capintur angulus L 
Detoda