# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0516 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0516?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 480, page id 1041163592:0516 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=516 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000516.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine # Lines: 45 recognised, mean confidence 0.93 # 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. 480 PTTTLOSODEILLE NATDRALIS hibenEur, quam Solene mocus Planetarum per eorum Theorias. VF propcerea Orbes Cometarum per hanc Theoriam enumerari pol- sune, et tempus periodicum Cometae in quolibet Orbe revolventis tandem sciris ec cum demum Orbium Ellipricorum latera trans- versa e Apheliorum altitudines innocescent. Comeca retrogradus qui apparuie anno 1007, descripsE Orbem cujus Nodus ascendens (computante (Talleio) crac in 8 20e. 21. inclinacio plani Orbis ad planum PCliprica CxAE 178. 2. Peri helium Crac in 282. 26, Se distantia perihelia a Solc crat 58680, existente radio Orbis magni 100000. Et Cometa crat in Peri- helio Octob. 162. 3. 50. Congruie hic Orbis quamproxime cum Orbe Cometxe qui apparuit anno 1682. Si Comctxe hi duo Fuc- rine unus ex idem, revolvetur hic Cometa spatio annorum 75, et axis major Orbis ejus erit ad axem majorem Orbis maoni, ut VC: 75775 4d L, Peu 1778 ad 10O Circiter. Et distancia aphe- lia Cometae hujus a Sole, erit ad distantiam medioerem Perrae a Sole, UE 35 ad T circirer. Quibus cognitis, haud difficile fuerit Orbem lIlipricum C’ometae hujus decerminare. Acque haec ita se habebune s Cometa, spacio annorum sepruaginta quinque, in hoc Orbe posthac redierit. Cometae reliqui majori tempore re- volri ridentur ee altius alcendere. Cxrerum Comctae, ob magnum corum numerum, de magnan Apheliorum a Solc distantiam, ec lonsam moram in Apheliis, per graritares in se mutuo nonnihil curbari debent, ec corum eccen- tricitates e rerolutionum tempora nunc auseri aliquantulum. nune diminui. Proinde non et expectandum ut Cometa idem, in eodem Orbe ec iildem temporibus periodicis, accurate redeat. Sufticit si mutationes non majores obrenerint, quam quae a causis Praedictis OrianEur. Ec hinc ratio redditur cur Cometx non comprehendantur Z0- diaco (more Planctarum, sed inde miorene sc motibus variis in omnes calorum regiones ferantur. Scilicet eo fine, uc in Aphelis Tuis ubi cardissime morentur, quam lonsissime distene ab invicem ec sC mutuo quam minime erahant. Oua de caula Cometx qui altius descendune, adeoque cardissime moventur in Apheliis, de benc alcius ascendere. Comera qui anno 1680 apparuie minus distabat a Sole in Peri helio Tuo quam parce sexta diametri Solis; ee propter Cummam velocitatem in vicinia illa, ex denlicatem aliquam AemosphXrX SO- dis, relistentiam nonnullam sentire debuit, ee aliquantulum retar. daris DE MONDI DLOXEM aF