# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0244 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0244?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 210, page id 1041163592:0244 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=244 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000244.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine # Lines: 33 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. 210 PTIILOSOPHITA NALDRALIS Dt Moro ec dirisim uE DL. - FB (CuPII - FD -FB ad F D Ceu FG-ZD CORPORDM SE COmpOSTC UE PTY = FB ad FG, id cst (ob aequales L 1L SE CC3 _S _ CF.) CF. + BC = F R 2d CF. = FS. Verum (0b proporcionales BC ad CF _E MI = W 2d N) est etiam CF. = BC 2d CF ut M ad N: adeoque divisim FR ad FS ut MadEY, dEPFODFETCA PEK CorOl. 2. PrOP. Z SuperHcies F FCOSIECOF. pus, in iplam secundum lincam D F’incidens, persere in linea l’R 2d locum B. d. F. D. Scholium. fadem methodo pergere liceret ad superticies tres vel plures. Ad usus autem Opricos maxime accommodatae lune Agurae Sph2- rica. Si Perspicillorum riera Objectira ex vieris duobus Spheeri- ce figuratis ec Aquam inter se claudentibus consentur; heri pocest uc a retractionibus Aquae errores retractionum, quae hunc in ritro- rum superticiebus extremis, latis accurare corrisaneur. Talia au- tem ritra Objectira rieris Ellipricis _ Ilyperbolicis praeterenda sune, non solum quod Facilius ec accuratius Formari possine, sed etiam quod Penicillos radiorum extra axem vitri sitos accurarius retringant. Verum tamen diverla diverlorum radiorum Retrangi- bilitas impedimento est, quo minus Optica per Figuras vel Sphae- ricas vel alias quascunque pertici pomt. Nis corrisi possine er rores illine oriundi, labor omnis in exreris corrigendis imperite vollocabitur. DF