# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0201 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0201?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 167, page id 1041163592:0201 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=201 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000201.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine # Lines: 44 recognised, mean confidence 0.91 # 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. PRINCIPLA MATHEMAETICA. 6s agendo, proxius accedent ad CorpuS T, d celerins mOvebUnEuE L InEH in Conjunctione ec Oppositione iplarum ec corporis S, quam in Lta Duadraturis. Ec Nodi annuli hujus seu intersectiones ejus cum Plano Orbitae corporis S vel Z, quiescent in Syzysiis; extra SyZY dias vero morebuntur in ancecedentia, et relocissime quidem in Duadraturis, cardius aliis in locis. Annuli quoque inclinatio varia- Ditur, ec axis ejus singulis revolurionibus oscillabitur, completaque rerolutione ad pristinum sicum redtibic, nih quatenuS Per Praecesi- onem NOdOrum CIrCUIMFCFEUF. Corol. 19. Fingas jam Crlobum corporis T, ex materia non Auida conltantem, ampliari ex extendi ulque ad hunc Annulum, et alveo per circuitum excarato continere Aquam, motuque eodem perio- dico circa axem suum uniformiter revolri. FTic liguor per vices acceleratus e recardatus (ue in superiore Corollario) in Syzroiis relocior erie, in Ouadraturis cardior quam superficies Clobi, et Ec Auet in alveorehuerque ad modum Mlaris. Aquarevolvendo cir- ea Colobi centrum quiescens, A tollatur aecractio corporis snullum aequiret morum Auxus ex retluxus. Par est ratio Globi uniformiter prodredientis in directum ex interea revolventis circa centrum Cuum (per Legum Corol. 5.) ut ex Clobi de cursu rectilinco uni- Formiter tracti, per Legum Corol. 6. Accedat autem corpus 5, ec ab ipsius inxquabili accractione mox turbabitur Aqua. Lcenim major erit accractio aquae propioris, minor ea remocioris. Vis autem P. MI erahec aquam deortum in Quadracuris, Facietque ip. lam descendere usque ad 5y279i25; ex vis R L crahiet candem lur- sum in Sy2rgiis, sistetque delcensum ejus e Faciec iplam ascendere ulque ad Guadraturas. Corol. 20. Si Annulus jam rigeat ec minuatur Globus, cera- bic motus Auendi ex retluendi; sed Oscillatorius ille inclinationis motus e praecessio Nodorum manebune. HTabeat CTlobus cundem axem cum Annulo, srrolque compleat iisdem cemporibus, ex super. heic sua contingat ipsum incerius, eique inhaereac; a participando morum ejus, compares utriulque Ocillabitur ec Nodi regredien- cur. Nam Globus, ue mox dicetur, ad suscipiendas impretiones omnes indisterens est. Annuli Globo orbati maximus inclinationis angulus est ubi Nodi (unc in Syzygiis. Inde in procrestu Nodo. rum ad Ouadraturas conatur is inclinationem suam minuere, ec isto conatu motum imprimit Globo cori. Retinet Globus mocum im- Prellum ulque dum annulus conatu contrario mocum hunc tollats imprimatque mocum norum in contrariam Partem: Acque hac ra- cionO MsHIIMMIIMIIIII