# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0198 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0198?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 164, page id 1041163592:0198 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=198 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000198.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine # Lines: 45 recognised, mean confidence 0.92 # 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. 16 PFITLOSOPMILLE NATORALIS dence. FF simili ratiocinio, inclinatio magis augetur quam diminui- cur ubi Nodi lunc in Octantibus alteris inter _c D, B _ C. In- clinario isitur ubi Nodi sunc in Syzrsiis est omnium maxima. In cransitu corum a Syzrgiis ad Ouadraturas, in singulis corporis ad Nodos appullibus, diminuitur, tieque omnium minima ubi Nodi sunc in Ouadraturis ex corpus in Syzrsiis: dein crescit iildem ora- dibus quibus antea decrererat, Nodisque ad 57z) gias proximas ap- Dulsis ad magnicudinem primam revercitur. Corol. TI. Ouoniam corpus F ubi Nodi Cunt in Ouadraturis per- pecuo crahitur de plano Orbis suis idque in partem versus S, in transitu suo a Nodo C per Conjunctionem L ad Nodum D; et in contrariam parcem in transicu a Nodo D per Oppolitionem B ad Nodum C; manifectum esc quod in moru suo a Nodo C, Corpus perpetuo recedie ab Orbis sui plano primo C D, ulque dum per- ventum est ad Nodum proximum; adeoque in hoc Nodo, longim- me distans a plano illo primo CD, transie per planum Orbis F. 5I non in plani illius Nodo alcero D, sed in puncto quod inde vergit ad partes corporis S, quodque proinde novus est Nodi locus in an- ceriora vergens. Et simili argumento persent Nodi recedere in transitu corporis de hoc Nodo in Nodum proximum. Nodi igi- cur in Ouadraturis constituri perpetuo recedune; in 572ygiis (ubL motus in Lacicudinem nil perturbatur) quiescune; in locis inter- mediis, condicionis utriu sque participes, recedune cardius; adcoques semper rel retrogradi vel Cacionariis singulis revolutionibus terun. tur in ancecedentia. Corol. 12. Omnes illi in his Corollariis descripei ErrOrES SunE pau lo majores in Conjunetione corporum F, S quam in corum Op. policione, idque ob majores rires generantes WVM de MY Corol. 23. Cumque rationes horum Corollariorum non pendeane amagnitudine corporis S, obtinent praecedentia omnia, ubi corporis Seanca Cacuitur magnitudo ut circa ip Cum revolratur corporum duo- rum P ec P Sysema. Ec ex aucto corpore s’auctaque adeo ipsiuS ricentripeta, a qua errores corporis orcuntur, cractent crrores iIII omnes (paribus distanciis) majores in hoc calu quam in altero, ubi corpus Scircum Sycema corporum P ec Y rerolritur. Corol. 24. Cum aurem rires NM, ME. ubi corpus Slongin- quum est, sine quamproxime ut vis SX ec ratio P P ad sT con- junctim, hoc cst, si detur cum distantia PF, tum corporis S vis absoluta, uE SF cub. reciproce; sine aurem rires illae NV M, M L. causxe errorum ec efectuum omnium de quibus actum est in Prace. deneibus DF NTOTD BuroRo