# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0022 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0022?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio - , page id 1041163592:0022 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=22 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000022.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine # Lines: 43 recognised, mean confidence 0.94 # 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. III. E D IT O R IS cum nullam ejus sensibilem imminutionem, rel in alcistimis moneium cacuminibus, observare licet. Cravitat itaque Luna in Terram: quin ec actione mucua, Terra vicistim in Lunam aequaliter gravitat: id quod abunde quidem contirmatur in hac Philolophia, ubi 29i- cur de Mlaris aectu ec Aquinocciorum praecestione, ab aetionc eum l. unae cum Solis in Terram oriundis. Hlinc ec illud eandem cdo. cemur, qua nimirum lese ris Graricatis decreleat in majoribus a Tellure distanciis. Nam cum Graritas non diverta (E a Vi cen- eriveta Lunaris haec vero Ec reciproce proportionalis quadrato dictanciae; diminuetur ee Craritas in eadem rationc. Progrediamur jam ad Planecas reliquos. Duoniam revolu- ciones primariorum circa Solem ee secundariorum circa forem et Sacurnum Cunt Phaenomena generis ejuldem ac revolucio Lunx circa Terram, Quoniam porro demonstratum cA vires centripecas primariorum dirisi versus cenerum Solis, secundariorum versus centra foris e Saturni, quemadmodum Lunae ris centripeta versus Perrae centrum dirigitur; adhaec, quoniam omnes illae rires lunc reciproce uc quadrata distanciarum a centris, quemadmodum vis Lunae est ut quadratum dictantix a Terra: concludendum erit eandem esc naturam universis. Leaque ut Luna gravitat in Per- ram, ec Terra ricissim in Lunam; sic etiam gravicabunt omnes secundarii in primarios suos, ec primarii vicissim in secundarios; lic ec omnes primarii in Solem, ec Sol vicistim in primarios. Isitur Sol in Planetas universos gravitat ex universi in Solem. Ntam secundarii dum primarios Cuos comitantur, revolvuntur in- terea cireum Solem una cum primariis. Lodem itaque argumento, veriusque generis Planetae gravitane in Solem, ec Sol in ip(os. Sccundarios vero Planecas in Solem gravitare abunde infuper constat ex inaequalitatibus Lunaribus; quarum accuratissimam Theoriam, admiranda sagacirate paretactam, in terrio hujus Operis libro expositam habemus. Solis virturem actractiram quoquorertum provagari ad ingen- ces usque distantias, ec sele diffundere ad singulas circumjecti (pa- cii partes, apertissime colligi porest ex moru Comctarum; qui ab immensis interrallis profecti feruntur in viciniam Solis, ex non- nunquam adeo ad iplum proxime accedune ut Globum ejus, in Periheliis suis verlantes, cancum non continsere rideaneur. I0- rum Theoriam ab AAronomis antehac Frustra quaelicam, noctro tandem Execulo feliciter inventam ex per Obserrationes certil- sime demonstracam, Praectantissimo nostro Auctori debemuS. PatCE iGIEUF