# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0279 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0279?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 257, page id 1032977698:0279 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=279 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000279.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine # Lines: 31 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. 1d CAP. VI Analysis Infinitorum. 257 aquabitur omnibus, hyc - 6 dy c = 26778 (cu 0 in b - d - : y in y e5 Cum autem b = d = = y sic aequalis linex ou qua centrum gravitatis rectanguli 9 PD H di- sat a linea YV, erit linea vo, seu distantia centri gravitatis rotius AgurX AO F ab aXC FY = b = k, unde juxta S. I. ceunt omnia 2V in ye = bf - kf; adcoque trUNCUS d superior in bf - k f ad truncum interiorem b kf utb = k ad k, SCWuE a 2d a Z, hoc eA uE Partes linca Er resectX a centro sraritatis fOUTR. 5. 5. Ouod A haec ad solida, cum conoidi- ca, tum ainnularia cransterre placet, Patet ex 5. 20. ecc. C ap. TII. Solidum tubulatum ex fiBura AOF Circaarem CB FOTaEUI, Xquari omniu 2 4y e6 y y ec bus, 2r 15 quod solidum si voce- tuE: 5, quia omnia dy c + = Yye Cx 5. 3. TUINE dy cc 4 1y y e0 equalia k f; Crun omnia kf0 corpushac ratione genitum = r = 5. sei 5. 6. Onde ad similitudinem 8. 3. Solidum omne anmilare seu s aequale est extindrico, cu- jus batis CA f seu figura AO F, de altiendo