# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/834940469:0023 # Permalink to this reading: https://leibnizlegible.com/page/834940469:0023?run=74 # Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98) # Folio 15, page id 834940469:0023 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=23 # Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000023.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine # Lines: 38 recognised, mean confidence 0.86 # 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. VX DE cedenres propoliciones eodem modo de monstrari possune de duobus quibuscunque po- lygonis complicaris loco polygonorum compli CACOTUIM ABIP, ABDLP; polugonum enim a rangencibus comprehentum cor cocinee aegualiarrape zia, quor conrinet polrsonum à lubren lencibus comprehesum aequalia exinn gula: atque hinc euidens esthus polygonoru analoeias itd se habere in infinitum, ducendo nimirum rectas AN, AI, AC. AC. per puncta R, P, S, V, Sc adhuc alia X alia polygona inera R exera semper fcribendo: nocandiinos appellarehac Doly zonoruinscriprione e circuleriprione, inseriprione ee CircuscripcionE (ub suPLa. CX PEAdICEIS DRFEE (A PONZEUE Exi angulun ABP = 2, i_ EraPCEIUM ABFP = b) crapeziI ABIP CHC,gib de Polygonum ABD L. F 2ab lreodend dnfirgub modopolico traperio ABIP = C, SE poly EOnOABDLP erie polysonum ABEIOP = Vq.d d polygonum ABC GKENE Ecd ica re euidens sihanc poly gonorun c rgcd. Teriem esse conversentem; aeque in infinitum illam conci- nuando, manifestum elt tandem exhiberi quaritarem secton ri circulari, elliprico vel hyperbolico ABFIOP aequalem; diftereria enim pols sonorum complicatorum in sertei con- cinuarione semper diminuirur, iea re omni exhibica quanet. care heri posse minor. ve in lequenris cheoremaris Stolio demonstrabimus. (I isitur praedicta polygonorum leries cer- minari polser, hoc es, (i inveniretur vlcimum illud poly80a num inscriprum (Eics loqui liceat) aequele virimo illi Doly sonocircum leripro, daretur intallibilicer circuli de hyper- bolx quadracura: Ced quonium distieile est. s in geomerris omnino Foreasse inaudicucales leriesterminare s Praemicren- da unc quaedam propolriones equibus inveniri pollinehu. ulmodi aliquorlerierum rerminationes, se randem (shers POlSIC)