# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0251 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0251?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 229, page id 1032977698:0251 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=251 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000251.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine # Lines: 37 recognised, mean confidence 0.80 # 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. b I CAP. IV. Analysis Infinitorum. eadem aequalis omnibus y 110 + 210 rConlequen ux ratio jam Expius inculcata est. 5. 24. Plurima hinc in modu 5. 38. _39. Cap. PEXC. deduci PONeNE; CuM, JUXta S. 2. hujus, Superlicies trunci inferioris cylindrici in altitudine SZ Peu h, per pIanUM BC (ItZ UE TC TC = b) relecti conctet omnibus y1b +21b DE CMPETFICIES CX PCIMCHO AWV FO P O A cit- y 2t C + 2 16 Ca BC EOTALX (IF aequalis omnibus per Praeced; erit illa superticies trunci ad hanc y uh + Z ib y U C - 310 ut omnia ad omnia bc ut h ad seu Onde intruncorum ac Colidorum rotatione se- nitorum superficiebus idem obtinet ac in eorum Colidis. Conterantur hXeC CuM 5. 38, 39. Cap. praecedent. 5. 15. Cxterx vero, qua ordinario circumte- runtur propolitiones, Facili hinc negorio cruum- TUT. Relumtis enim SChCMatIbUS XXXIX XC XF dC (Ymbolis 5. 77. Cap. II. cum superficies conoi- dalis Cx CHEVa AD F F circa AO convertaAE, C 2t 7 juXta 5. 2F. hujus, xgualis omnibus r = Om 05 a Ck0 nib. r = omnib. r: erit Primo, ut r adc