# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0241 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0241?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 219, page id 1032977698:0241 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=241 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000241.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine # Lines: 37 recognised, mean confidence 0.84 # 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. 1 CAP. III. Analysis Infinitorum. enim inibi assumtis symbolis quaeratur solidum, Cx A P Z Circa AP rotato aequale crlindro, cujus basis est circulus radio a 4 seu f del- exiptus, ac altitudo a5 seu Z, crunt omnia Bcc ff2 2r aequalia 2rs unde juxta C ap. II. 5. 13. di- visis omnibus per 2Y exit hhC = fs v + 2fZ: jam cum juxra ibi tradita (IF, 8= V e = d F5ZC. 2ffZe exit hhe= ffZ 2f52 d + B _ hh = + + b3 Onde, f et 2 per quamlibet expressionem analyticam desienatis, etiam h per candem rel- DCctivE CXPEIICTE. Coroll. Hlinc eadem opera constat eatio, dato cuiliber solido ffZ ungulam truncumque aequalem constitmendi; tum ec, e converlo, innumera Colida rotunda ad crlindros, e trunCOS ungulasque ad cubos reducendi methodus. 5. 43. Ouomodo iam, quae 5. 17. & 30. CaP. II. circa plana demonstrarimus, etiam Lolidis accommodari queant, post lerem atten- tionem in aperto est; alsumta liquidem qualibee CBBe 622+ cffu c88a Wspochest, 27 = 27 = 2Y 2 Y _c. habebuntur, post ejectas (ccundum: 5. 31. Cap. II. infinitesimas, duo Colida sibi MutO Xqualia. Nec 2I