# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0325 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0325?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 303, page id 1032977698:0325 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=325 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000325.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine # Lines: 31 recognised, mean confidence 0.88 # 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. CaP. ZI. Analysis Infinitorum. juxta praecedentia sequenti modo aequiritur, stacuatur b seu OR in 96, dc PS in P L, dOnCC PEE CATUI EXTTEMITaTES NOVA CUEVA AG L describi DOME, erit G K = e de KL = PS =GR X = C; quare C ipCIIIS CurVX AC L Cubtansenti vocata: n, Fer QC: Q6:: GK: KL. TCU n: b:: C: = e. adeoque n= be tne; quae ad aequationem littera Y (5 pBn + p+B natam axplicata, extibebit 2 = bn - b, Onde cognitâ DV seu 2 tum lonsitudine cum potirione, datur punctum V in cuera PI, adeoque hujus constructio; de si placue rit, etiam relatio ad axem 2S, juxca ethO. Cap. V. 5. 12. Circa erolutas intinuatam. Generali hoc theoremate plurimarum cuera- rum examen institui ac constructio efici porest. Corol. P. Polita enim ipla h aequali nihilo, erit b = l, _ p = k, rectxque DR &e D M item F S _E F. N coincident; Critque VW kIn + Ke e n IDHUS A F eroluta aC Z =: In = 103 UtI Cap. V. S. TF. COr. T. InVENEUM. Corol. IT. Si Vero D R juxta aliam quamli- bet conditionem ducta sII, _ repexsentet verb. c. viam eadii, post refractionem in Cuperficie CUEVA AD X VeESUS R tendentis, Crie V I curra a radiis post retractionem concuerentibus Formata. Corol. 1II.