# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0213 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0213?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 191, page id 1032977698:0213 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=213 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000213.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 27 lines, status machine # Lines: 27 recognised, mean confidence 0.89 # 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. C AP. III. Analysis Infinitorum. dx +yx in b, respectira vero ad alium ejus- dem lacicudinis cruncum = rectansulum d x + y X M b. 5. 12. HOc nOtetUE, FIZ. LV. N. L. trun- cum cujustibet cxlindrici interiorem aequari lummae cylindrici in eadem basi constituri in al- titudine PC. X ungula eiusdem cxlindrici bal2 luperiori insistentis, eodem plano, per 16 ad cundem angulum transcunte, relecta. Demonstratio ex appositx Figuex inspectione Datet. Tum ec calculus candem catim prodit. ahye yyhe SIE enim = = 20 inEnitesima ExUnCI juX- dhyc ta 5. 5. Ct ex 5. 2. ad cxlindricum, _c y BC 2b Per 8. 6. ad unsulam. A vero trunci infini- cclima, juXt2S. LZ, PONAEIE. b d X C + b X yer idem creniet; consequentia ratio ex 5. 9. Clu- celcit. Corollaria casus parriculares concernencia hic non ad- jungo, cum in sequentibus abun de cisca solida exrocacio. nibus genica sese ingestura GIHE. 5. 73. Neque tantum ad currilinca, qua axem de basin rectilincam habene, modo de ducta