# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0522 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0522?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio - , page id 1041163592:0522 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=522 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000522.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 104 lines, status machine # Lines: 104 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. M neris ri centripeta L, Sect. R F R quilitx conteruntur, posita cujuscunque se Cometarum caudae avertuntur 2 5ole 468, 39 maxima Cunt ec tulscla a transitum per viciniam SolIS 407, 8 insionis earum raritaS 470, 32 oriso ec natura carundem 442, 19: 467, 13 quo temporis spatio a capite ascendunt 471, L Cometa lem ductis de leribunt areas temporibus pro- portionales. Ec quidem in Ellipsbus mo- rentur E in Orbem redeunt, hxe tamen Parabolis crunt maxime Ainitima III, 40 Frajectoria Parabolica ex datis tribus Obler rationibus invenitur IIB42; Inrenta cOr. rigicur ll. 42 Locus in Parabola invenitur ad tempus da tum 443, 50: 1, 30 Velocitas cum relocitate Planetarum conter tur 445, 17 Cometa annorum 1664 eE 1665 Flujus motus obserratus expenditur, ec cum Fheoria accurate congruere deprehenditur Cometa annorum 1680 ec 1687 Flujus motus obserratus cum Theoria accu- eate congruere invenitur P. 455 et Scg9 Videbatur in Ellips revolri spatio annorum Dlusquam quscorum 464, 37 Trajectoria illius e Cauda singulis in locis delmeantur D. 465 Cometa anni 1082 Fujus motus accurate respondet Pheorix Comparuisse risus est anno 1607, iterumque re- diturus videtur periodo 75 annorum 480, Cometa anni 1683 Hujus motus accurate respondet ThCOTIX Currae diltinguuntur in Geometrice rationales et Geometrice irrationales 100, Curratura Agurarum qua ratione aestimanda siC Crcloidis seu Lpiercloidis Crlindri attraCtIO ex parHICUHS Crahentibus com- DC e nsus ec Alcentus corporui es Il. Sictentibus II, 3,63 9, 40, 23. 14 EllipES qua lese vis contripetae tendentis ad centrum Morentur in Sectionibus Conicis umbilicos Bourae describitu a corpore rerolvente cum figura deseribitur a corporo revol 3 LC, 6 qua lese vis centripetae tendentis ad umbili vente L. L Fluidi definitio P. 260 FMcor Peso quas leges ha- bent, ostenditur II, Sect. 5 Luclorum per Foratmen in rate suctum etuen- tium determinatur motus II, 36 Fumi in camino ascensus obiter explicatur 4724 in centro Solis habentibus, a raduIs ad50- 23G, 20. 398, 3. reccilicatio l, 48. 49: 142 10 Eroluta l, 503: 142, 22 Ordduum in Meridiano Terrestri mensura exti- Betur, _ quam sit exigua inaequasas ollen- ditur ex Theoria llL, 20 Graritas dirersi est generis a ri Magnetica 368, 29 utua est inter Terram eC ejus partes 22, 18 ejus causa non assignatur 483, 34 dacur in Planetas unirersos 365, 15; e per- Lendo a superticiebus Planctarum sursum decrescit in duplicata ratione distantiarum a centro III, 8, deortum decrescit in sim- plici ratione quamproxime III. 9 datur in corpora omnia, e proportionalis est quantitati materiae in lingulis IIL, 7 Graritatem esse rim illam qua Luna retinetur in Orbe TII, 4, COmPUIO aCCUTALIORI COm- probatur 430, 25 uradcem esse rim illam qua PlanCTX PLIIHaC e datellites soris a salu secmentur in Orbibus III. polui quarum vires sunt recpoce il qla Dei Natura P. 482 e 483 sicudine Penduli collisitur 379, Descensio vel Ascensis rectilinei spatia deseri- pra, tempora descriptionum et velocitates ac. Frdroctaticae principia traduntur II, Sect. 5 EIyperbol qua lese vis centrituex tendentis a Figurxe cen- tro describitur a corpore rerolvente 47, 26 qua lese ris centritusa tendentis ab umbilico Rourae describitur a corporererolvente fI, C qua lege vis centripeta tendentis ad umbilicum Rouxa describitur a corpore revolvente I, 12 Hypotheles cujuscunque generis rejiciuntur ab hac PhiloCophia 464, 8. I. Tner- atala Mcaatula 190. Descensus grarium in vacuo quantus Sit, ex lon-