# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1041163592:0511
# Permalink to this reading: https://leibnizlegible.com/page/1041163592:0511?run=74
# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 475, page id 1041163592:0511
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=511
# Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000511.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.88
# 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.

AIIIIII
PRTNCIDTA MATHEMATICA.
tempore hyberno, e ascendens usque ad cinculum Orionis ibi evanuit.
L IBEK
Cometa ille anni 2618, qui c radiis Solaribus caudarisimus CMCFHIE, PeRTIVS.
Sellas primae magnitudinis aequare vel paulo superare ridebatur,
Sed majores apparuere Comeex non pauci qui caudas breviores
trabuere. Florum aliqui forem, alii Venerem vel etiam Lunam
aequaRe tradUnEUE.
Diximus Cometas esse genus Planetarum in Orbibus valde ec-
centricis cirea Solem revolvencium. Ec quemadmodum c Plane-
tis non caudacis, minores esse solent qui in Orbibus minoribus _
Soli propioribus orrantur, sic etiam Cometas, qui in Periheliis
Tuis ad Solem provius accedune, ut plurimum minores este, ne
Solem accractione lua nimis asitent, rationi consentaneum videtur.
Orbium vero transrerlas diametros ex revolutionum tempora
periodica, ex collatione Cometarum in iisdem Orbibus post longa
temporum intervalla redeuntium, determinanda relinquo. Interca
huic negorio Propolicio sequens lumen accendere porest.
PROPOSTTIO XLI. PROBLEMA XXII.
Trajectoriam Cometa Graphice unventam corrisere.
Oper. T. ANumatur positio plani Trajectorixe, per Propositio.
nem superiorem Crraphice inventa; ec seligantur eria loca Cometa
obserracionibus accuratissimis detinita, ec ab invicem quam ma-
xime distantia; sicque A cempus inter primam ex secundam, ac
B tempus inter secundam ac certiam. Cometam aucem in eorum
aliquo in Perisxo verlari conrenit, vel salcem non longe a Peri-
saeo abessc. lX his locis apparencibUS InVENIANEUE, PEF Opera-
tiones Trigonometricas, loca eria vera Cometae in alsumpto illo
olano Trajectorix. Deinde per loca illa inventa, circa centrum
Solis ceu umbilicum, per opcraciones Arithmeticas, opC ProD
XXT. L Ib. I. instituras, describatur Sectio Conica: _ ejus AFCX,
radiis a Sole ad IOCa invenEA dUCTIS TErIHAEX, PUNEO D SE V.
nempe D area inter obserrationem primam dt secundam, et F.
arca inter secundam ac certiam. Sitque Y tempus torum quo
area FOt2 D F E, velOCitArC COMCEX peF PFOP. ZVI. Lib. Y in-
venca, describi debec.
Oper. 2. Augearur lonsitudo Nodorum Plani Prajectorix, ad-
ditis ad longicudinem illam 20 vel 30, quae dicantur P; ec ser-
vecur plani illius inclinacio ad planum Eclipriex. Deinde ex
E
DEX-
MMppiMIIII
MIIIIIHINAIIIMIHIITEIIEIIIIIHIAIIIMIHIMNSIIIIMIBIIIIMIIIII