# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0049 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0049?run=74 # Title: [Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ (shelfmark Leibn. Marg. 149) # Folio 27, page id 1032977698:0049 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=49 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000049.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine # Lines: 41 recognised, mean confidence 0.75 # 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. 11 st 1 MM 1 est 4 X 22 12 Analysis Infinitorum. la = bc. p+3a1y = 3aay + a. =yyX Zay X = a aX. +eyy - 2aey 4 A A6. = R y + k a. 6. In ortâ jam hac aequarione primum collon. direniunt omnes termini, ubi nCCanCCCFeDC. eitur; quoniam omnium Cumma nihilo aquatis eA, quippe datam aequationem consticuentium. Inde d hoc manifectum est, nullum equatio- nis currae terminum, ipsox ee y racuum, in Orca aequatione rescerari pose. 7. Tum cnguli deleaneur scengini, ubi ipso- EUI A AUFCPOTCItAS QUE reCtan Sulum inVeNIEuE, quippe. (Per Schol: 2. 5. 3. _LCMIM. 1O.) prO non quantis aut pronihilo habendi; unde in- quatione orta, ii tantum remanebunt termini, qui vel a vel e, sed unius dimensionis, conti- nenes restabitque, deleris dolendis, = 3Cx X = 2 C7 X = a XX = l e + 3 ayY + 2 a y X + CyY + k a = 0. 8 xequatione in analosismum relon luca: 37y Y 2y X F k - X X : 3 X X Y 2. y X + b -79:: e: a. 8. Jamveco, cum ex conttructione similia Cinctriangula DHF _ ZPF, CAHD: F HI:: P: P. F. TCHC: a:: F: 7. Olare LAP. L 1