# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/834940469:0189 # Permalink to this reading: https://leibnizlegible.com/page/834940469:0189?run=74 # Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98) # Folio 105, page id 834940469:0189 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=189 # Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000189.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 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. icem ductoper puncto F plano ipsi AEnormali e inferiores Crlindricorum eruncos lecance in criangulis rectangulis ilo- Scelibus quorum baseS TUnE DF, CF) OE BC ad R F SCuE eriansulum luper D F. ad criangulum super C F. Pasecerian. gulum super DE esse ad criangulum super CF Ceu OF ad RF in duplicara ratione D F ad C F, atque ratio D F adC. F CR mulciplicara racionis AK 2d A F in ratione P ad Q; d ideo ratio OEadRF CAmulciplicata racionis A K ad A F inratio- ne 2P ad93 cumque hoc semper hac rbicunque sum acur pu- aum B, Parer exhuius 54 rectongulum AM TK eNC ad sigu- rAM AR TK DE 2P FDad O: aF OF semper est ad RC, verrian- culum super DE, nempe communis incerlectio plani nori malis ad AIE cum prilmace eriangulari, ad criangulum (uper C E, nempe communem lectionem eiuldem prioris plani cu crunco inferiore cxlindcici super ACIK; ancecedences quo- que quancitates, nempe omnes rectae OE inter le, de omnia criongula super DE incer Ce, lunc aequales; ee ideo reomnes rectae OE nempe rectangulum AMTK ad omnes R E nempe Aiguram ARTE ica omnia eriongula super D P. nempe prilma eriangulare ad omnia criangula superC P nempe inferiorem eruncum exlindrici (uper A CIK; e proinde prisma est ad ErUNCUM rE 2 P F 92d 9, e ideo duplum prilmaris nempe parallel opipedum luper ABIK est ad interiorem eruncum cy. lindrici recti suver AC I. R vr 4. P ,f. 294d O quod demon- strandum erat. acque extruius 54. parallelopipedum super ABPK cA 2d Cylndricum eiu sdem alcicudinis super ACIK vE P. F. 2ad hoc esre AP 2 ad +PO F 2OC, _ proinde parallelopipe- P,FC dum super ABTK est ad eiusdem cylindrici eruncum suve. riorem regPPr6P9. . 2922d 3D() t 90; acque caliseru. cus superior idem elt cum erunco ciuldem cxlindriciinterio. re relecto a plano balem secance leminormaliter in recta BI. ideo huius quoque crunci ad paralelopiDedum PRCCETAZ 510