# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0475 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0475?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 441, page id 1041163592:0475 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=475 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000475.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine # Lines: 44 recognised, mean confidence 0.90 # 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. IIIIII PRINOIPTA MATHEMATICA. Idem colligitur CX CUFVaTTA viX COMCFArUM. PErGUNE BXC LHEN corpora provemodum in circulis maximis quamdiu moventur celc- FexxiVS. rius; aE in finc cursus, ubi motus apparentis pars illa quae a pa- rallaxi oritur, majorem habet proportionem ad Otum torum ap Parentem, desectere solent ab his circulis, ec quories Terra mo- vecur in unam parcem, abire in partem contrariam. Oritur hec desexio maxime ex Parallaxi, propterca quod respondet motui Perrx; ec insionis ejus quantitas, meo compuro, collocarie dilp2. rentes Cometas Paris londe intra Jorem. Inde conteguens cst quod in Perioxis ec Periheliis, ubi propius adsunt, descendune laepius intra orbes Mlartis ec inferiorum Planetarum. Contrmatur etiam propinquitas Cometarum ex luce capitum. Nam corporis calestis a Sole illustrati ec in regiones longinquas abcuntis, diminuitur splendor in quadruplicata ratione diltantix: in duplicaca ratione videlicet ob auctam corporis distanciam a Sole, ex in alia duplicata ratione ob diminuram diamerrum appa- rentem. Inde si detur ex lucis quantitas ec apparens diameter Ciometaes dabitur distantia, dicendo quod distantia sc ad distan- eiam Planetae, in ratione diametri ad diametrum directe ex ratione (ubduplicara lucis ad Jucem inverse. Sic minima capillicii Co. metxe anni 2682 diameter, per Tubum opticum sexdecim pedum a Flamstedio obterrata ex Micrometro mensurata, aequabat 2.0. Nuslens aurem seu stella in medio capitis vix decimam parcem la citudinis hujus occupabat, adeoque laca crat tantum LI vel 12. Fuce vero ex claritate capiris superabat CaDuE C Ometae anni 1680, Stellasque primae vel secundae magnicudinis xmulabaeur. Ponamus Sacurnum cum annulo suo quasi quadruplo lucidiorem fuisse: e quoniam lux annuli proxemodum aequabat lucem globi inter- medii, e diameter apparens globi sit quasi 21, adeoque lux globi ec annuli conjunctim aequaret lucem globi, cujus diameter CNeE 30: erit distantia Cometae ad distanciam Saturni uE + ad VA inverse, e 12 2d 30 directe, id cA, ut 24 2d 30 Ceu 4 2d 5. Kursus Cometa anni 1665 mense Aprili, ue auchor cA Flevelius, claritate sua Dene Fixas omnes superabat, quineciam ipsum Satur- num, racione coloris videlicet longe viridioris. Ouippe lucidior exat hic Cometa altero illo, qui in tine anni praecedentis apparu- erat ex cum Rellis primae magnitudinis conterebatur. L acitudo capillitii eraE qua 6 at nucleus cum Planetis ovc Tubi optici ColatuS, PlanC MINOT CTAE SOVE, EC MUINC MIMOE COrPOrC interME dic sat MIMIIIIHHIIIIMIIIMMMIIIIIIIIIEIIIIHMIIISMIMIIMIIIIIIBIII