# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0241 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0241?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 207, page id 1041163592:0241 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=241 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000241.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine # Lines: 49 recognised, mean confidence 0.85 # 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. 1III PRINCIPTA MATHEMAELOA Scholium. Flarum accractionum haud multum dissimiles (unt Lveis releri- ones et retractiones, factae secundum datam Secantium racionem, ut invenie Snellius, Sc per conseguens secundum datam Sinuum ratio nem, ut exposuit Cartesus. Namque Lucem successire propagari ec spacio quasi septem vel octo minutorum primorum a Solc ad Terram venire, jam constat per Phaenomena Satellitum Zovis, Ob. serrationibus dirersorum Astronomorum contirmata. Radii autem in aere existences (uri dudum Grimaldus, luce per Foramen in ce- nebrosum cubiculum admissa, invenie, ee ipse quoque expCrtUS Cum) in cransitu suo prope corporum vel opacorum vel perspicuo- rum angulos (quales sune nummorum ex auro, argento ec aere cu- lorum termini rectansuli circulares, ec cultrorum, lapidum aue Fra- clorum ritrorum acies) incurrantur circum corpora, quali actracti in cadem; e ex his radiis, qui in transieu illo propius accedune 2d corpora incurrantur masis, qua- si magis accracti, uc ipse etiam dili- senter obserrari. In Agura desig- nat sdeiem culeri vel cunei cujulvis AsB; e 50W0C fnunf, emtme, asta. sunt radii, arcubus 0200, nun, mim, Est versus culerum incurvati; idque magis vel mi- nus pro dittantia corum a culero. Cum autem talis incurratio radio- rum hac in aere extra culerum, de- bebunt etiam radii, qui incidune in culerum, prius incurrari in aere quam culerum aEtingunE. Ec par est ratio incidentium in vitrum. Fic isitur retractio, non in puncto incidentix, sed paulatim Per continuam incurrationem radiorum, Factam partim in aere ante quam accingune vierum, partim (ni Fallor) in viero, postquam illud InGrENI SunE: uti in radiis ckzkC, birib, ah a ha incidencibus ac , 9, P, ec inter k ec Z, i e y, h e a incurratis, delincatum cAt. gitur ob analogiam qua est inter propasacionem radiorum lucis ec proeressum corporum, visum est Propoliriones sequentes in utiis Opticos subjungere; interea de natura radiorum (uerum (INE COr- Pora necne) nihil omnino disputans, (ed Prajectorias corporum rajectorus Lachorum persimiles Tolummodo decerminans. PROPO. s d C d .. L TBEK PRIMISI NIITTHITIIEMTITEILIIMIHHIIMIIMIIMHIBIEMLSHILWIHIEMEINAMIIIN