# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/834940469:0103 # Permalink to this reading: https://leibnizlegible.com/page/834940469:0103?run=74 # Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98) # Folio 19, page id 834940469:0103 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=103 # Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000103.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine # Lines: 38 recognised, mean confidence 0.87 # 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. ipixcilineo IDFL, sed de maius es; quod est absurdum; de proinde recta RC intra curram A Qnon cadic versus verri cem: Aheripocest, cadac recta C. IE intra curram vertus b.- sem reliquis se habencibus ut inpriore posicione; crirqueuE IR ad D P ica mixcilineum IA F L. ad misrilineuM D AL F, at lR ad D E maiorem habet racionem quam ad Da; e ideo mixcilincum IA FL. ad mixcilincum D AL Fimaiorem ha- bec racionem quam IK 2d D a Ceu LC ad D C: de igitur mix- cilineum IA FL. ad mixcilineum D A L si maiorem habee racionem quam rectangulum 12. ad rectangulum DL de invertendo, per convertionem racionis de rurlus inver- tendo, mistilineum I A P L. ad mixcilineum IDEL maiorem habec racionem quam rectangulum IZ ad rectangulum IX. de permucando mixcilineum IAFL ad rectangulum IZ ma- iorem habet racionem quam mixcilineum II FL. 2d re ctangulum IX, cumque mixtilineum IA FL. sic ae qualere- Ctansulo IZ erir rectangulum IX maius quam mixtilineum IDFL, sed d minus est, quod es absurdum; non cadic ergo recca C. K inera curram A Qverlusbasem; d ideorectaHC curram A Gcansie in punctok, recrE C KAIF perpendicularis RECEAKTreCCa AO Occurrens in T; manifestum cA CI CHC a CIE UE IK adKT; acque C TCM ad CR uFMI ad NI, quoniam reccae IN. IM. IL, efficiune criangulum reccangulum limile criansuloC. ll, cuius lacera lit, led, Cunt bomologa laceri- bus C I, C R; _ proin de ur IH ad K P ita lM od IN; Cumque hoceodem modo hac in omnibus punctis curvae A C, MaNI Fectum cA exhuius 2 rectam AO esC ad curram A Q VErE. ccangulum OB ad Agurum ABSO, quod demonAtrarE OPOI Tuic. S C FI C L Y M. Pius propolicionis inverlum Facile quoque demon atur; nempe, Arecta AO Ccad curram A Overe- olu DB ad tisuram AB SO, irem s curra A P caliS e 2 CC