# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:0776 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:0776?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio 719, page id 1815201908:0776 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=776 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000776.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine # Lines: 44 recognised, mean confidence 0.83 # 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. 111I IN PL A N V N. ∞BD seinicircilus ductus iH teclatioulum C AB vel B C, SuperEcieta producie erlindricam BH: reliduum isicur planum AB quod lemicirculo C BB con- a 15. hun:. eruic ductum in rectansulum C AB vel C BF; concauum producie superticiem Chlindricam, quae DF luperticiei congruie. PROPOSIF, 1O XI lEmicirculo a rectansulum circum scribatur: dnam concauum (qua excima Cemicircus petmetto d les stansum acco incercipicur) ductam in se, Supertcies duas produceré clindricas, quarum communis incer sectio hgura est elliprica. Demonstratio. Emicireulo AB C rectangulum circumeri Obacor ADC. aILD DB siguram ductam in (C; superhcies duas Cxlindricas producere, quarum communis incerlecclo Agura est elliprica: supee DD inca rectangelum BONAEUE F D F aquale ADC: dein E DF, Cemicirculus inseribaeuE F. C L. Parec illum equari semicirculo ABC, et DB, D C lincas dnes xequari. Octenlum est pTE- cerea Acuram conduam BD, ductam in ADC rectangulum, exhibere superticiem exlindei- cam: desui BD icCH DO, pars est illius re- dangult, oriam B ductum in DC Producce supertierem cylinatiCaM. quix vero DB ad DB, eandem habencrarionem quam D C adD C, cx- jam DB sd DB, candem habebune rarionem quam D F ad De ue diagonales sune quadra eorum DB. quate Cum P B e OC Sinc ad co(. 101CL, 2 1. d 1E dem circolos, ex constructione patecn F F esse ad 1 eandem elliplim, cum DB minor hc dingonale PROPOSITIO a F. l.0 uino gruic, dico lyperticiem prodci cplindricam. I(dem policis, si fsura concaua ducacurin luum semicirculum cui con- .V. C onsorior. l Emonstracum eA D B ductum D K rectangulum, cexhibere Hpertciem extin- = i9 tuius dricam. sed D B ducum il eu pas i ddelt Bicur etiam DB i BS exhibene supecueteu C cylindricam. 1 e 1 s e e e t t t te . t 1