# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1041163592:0492
# Permalink to this reading: https://leibnizlegible.com/page/1041163592:0492?run=74
# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 458, page id 1041163592:0492
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=492
# Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000492.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine
# Lines: 58 recognised, mean confidence 0.90
# 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.

1
458
PHILOSOPMLE NATDRALIS
DE MONDIOtuS sui notabiliter deRectere capit boream versus, a paral.
lelo quem in sine Men(IS Februarii EenVeraE.
Jam ad Orbem Cometae determinandum; selegi ex obserracio-
nibus hactenus descripeis eres, quas Flamstedius habuit Dec. 2C)
Tan. 5, ec Fan. 25. Ex his inveni SF parcium 9842, + dc V+ par-
tium 455, quales 10000 sune semidiameter Orbis maoni. Tum
ad operationem primam assumendo +B partium 5657, inveni
SB 97473 BF prima vice 412, 5 u 9503, iN 413: BF. sCCun-
da vice 422, OD 10286, X 6528,4, MF 8450, MN 8475)
NP 25. Onde ad opcrationem secundam collegi distantiam
+b 5640. EE per hanc opcrationem inveni tandem distantias
FX 4775 _ TZ 11322. Ex quibus Orbem detiniendo, inveni
Nodos ejus descendentem in eo e alcendentem in W rBC. 53:
Inclinationem plani ejus ad planum Relipricae 618c. 203, verri-
cem eius (seu Perihelium COetxe) distare a Nodo 88c. 38, e
eNe in 2 278. 43 cum lacicudine australi 785. 345 _ ejus lacus
rectum ese 236,8, arcamque radio ad Solem ducto singulis diebus
descriptam 93585, quadrato semidiametri Orbis magni posito
100000000; Comctam vero in hoc Orbe secundum seriem siono-
rum procesise, et Decemb. 8. 0. 4. P. M. in vertice Orbis seu
Perihelio fuisse. Haec omnia per sealam partium aequalium de
chordas angulorum ex Tabula sinuum nacuralium collectas, deter-
minari Crraphice, construendo Schema Paris amplum, in quo vide-
licet semidiameter Orbis maoni (parcium 10000) aequalis cNet
digitis 163 Pedis Anslicani.
Pandem ut constaret an Cometa in Orbe sic invento vere mo-
veretur, collegi per opcrationes partim Arichmericas partim CFra-
phicas, loca Cometae in hoc Orbe ad obserrationum quarundam
rempora: uti in Tabula sequente videre licet.
Dec. 22
2
Distant. Co-J L onS. Collect. ) Lat. Collect. j LOnS. ObF., Lat. ObF. Difser., Ditter
metae a Solc
2792
8403
Febr. 5 26669
Mar. 5) 27737
es 6. 32 8. 18 =
X73. 13328. 0
827. 0 15. 293
29. 29422. 4
e5 6. 313 8. 2C
X13. 274 28.
816. 598
29. 205
15, 2
12
L 0n5. Lac
Pottea vero Falleius noster Orbitam, per calculum Arichmeti-
cum, accuratius decerminarie quam per descriptiones linearum
tieri licuit; ex recinuie quidem locum Nodorum in ∞ ec is 181. 53.
ee Inclinationem plani Orbitae ad Fclipricam 6LB1. 205, ut e tem-
Dus Pexihelii Comerx Decemb. 8. 0. 4: distantiam vero Peri-
helii
SZSTEHAI