# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0421 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0421?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 387, page id 1041163592:0421 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=421 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000421.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. AIIIIIII PRINOTPIA MATHEMATIOA. ratione differentiarum, het milliarium 3153. Nam cardicas Pen- LIVEn duli sub A quacore defectum gravitatis arguie; de quo lerior est Prario materia co major esse debet alciendo eius, ut pondere TuO mate- riam (ub Polis in aequilibrio suctincat. Hlinc figura umbrae Terrae per Rcliples Lunx determinanda, non erit omnino circularis, sed diameter ejus ab oriente in occidentem ducta major erit quam diameter ejus ab austro in borcam duetan excestu 55 circiter. Ft parallaxis maxima Lunae in Congitudi. nem paulo major erit quam ejus parallaxis maxima in Lacicudi- nem. AC Terrae Cemidiameter maxima erit pedum P’arisientium 20767630, minima pedum 19609820 e mediocris pedum 19688725 quamproxime. Cum gradus unus mensurante Picarto Eic hexapedarum 57060. menturante vero C’assino sic hexapedarum 57292: Tuspicantur ali- qui oradum unumquemque, persendo per Callias austrum versus majorem ense gradu praecedenre hexapedis plus minus 72, leu parce octingentelima gradus unius; exittente Terra Sphaeroide ob lonsa cujus partes ad polos une alcissimx. Quo POMITO, COrDOTL omnia ad polos lerrae leviora torene quam ad A. quatorem, et alcicudo Terrxe ad polos superaret alcirudinem ejus ad aequatorem milliaribus Fere 95, et pendula ilochrona lonsiora Forent ad A- quatorem quem in Oblerracorio Regio Parisiensi excertu lemistis disici circiter; uc conterenei proportioncs hic polaS Cum PTO- portionibus in Tabula praecedente posiris, Facile constabit. Sed ee dimerer umbrae Terrxe juae ab austro in boream ducitur, ma- jor foret quam diameter ejus quae ab oriente in occidentem duci tur, excestu 2. 46, scu parre duodecima diameeri Lunae. Oui- bus omnibus FxperienTIA CONETAEIREUT. C’erte Cassinus, definiendo gradum unum esse hexapedarum 57292, medium inter mensuras Cuas omnes, ex hypochesi de requalitare graduum aNumPHIE. RE quamvis Picartus in Galliae limite boreali invenie gradum paulo minorem esfe, tamen Norrvoodus nocter in regionibus magis bore- alibus, menturando majus interrallum, invenis gradum paulo majo. rem esse quam Cassinus invenerat. EF C assinus ip se mensuram Picartis ob parricatem incerralli mensuratis non latis certam e exactam esse judicarie ubi mensuram gradus unius per interrallum lonse majus detinire ageressus est. Difterentiae rero inter menturas Cassini, Pi- cartis ee Norreoodi lunc prove insensibiles, et ab insensibilibus ob. serrationum erroribus Facile Oriri POTUCTC, UE AuTationeM aXIS TErrR PraTCrCA. et WHHHIMIMIHMMIIHLINHMIIIMMMMEMLMMRIEIEEMEGNINNSIHIIII