# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:0150 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:0150?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio 93, page id 1815201908:0150 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=150 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000150.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 64 lines, status machine # Lines: 64 recognised, mean confidence 0.79 # 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. b erII. det inF berit IEIU Aten c acio. F. DA. _I EBOME, id let ec. Similitet Cum POHanEuE Concinux FL, GL, _C. erit V FI. ad CrL3 ica CP. ad HL, aeque ita lemper: igieue tacio compolica exracionibus AL ad BL, _ HF ad C I, CadtCM CTIECUM FA. tione, compotica ex racionibus, RI. ad CL, _ CF ad HIL) _ composita ex racionibus BL. 2d C. L, e CF adTTL, eadem eric, cum compolica exrationibus C L. 2d DL, _ HL A LL. HCGOTCLII. suli AF. L3ad criangulum B CI proporrio compolica est ex racionibus AI ad BL, X FL ad GL; e racio crianguli B C L, ad crianigulum CHIL, compolira CA ex rationibus BL ad C. L, _ CF ad HIL, ve ex Commandino demonstrat Clauius, ad proposicionem 23. Texri: eadem isitur est rario trianguli AFP., ad criangulum B CC, quae huius, ad criangulum CTIL. Similicer ostendencur reliqua criangula elle m analosia concinua, Duod erat demontran dum. LCorollarium. eee demonstratio. COnCMUX PCCCALCS, CAtVE AI ad BL, AC BL 2d _ CL adt DL VmIAL, BP, CF; 8c. Poilaneur sunc enim crapezia, priangulorum concinue proporciopalium disteseycix, unde exprimatuiuspatee corollari) retitas. ROLDSITIO LXXII lice pliris ducancur ilingulis erapeZISMae, A6, BtL, C l, _c. Bicorriangula inderata, AGB, BHC, CIB, Lc. Hemsle crian- Sla LLC, DIL, dc. ele concinue proporrionalia. Demonstratio. Fiuc contequicur etiam Frapezia AC, B H CL, eEC. esle in concinua analo8i2. ec. rallo crianguli ACB, ad crianou. rum BFTC, componitur ex a rarionibus AB ad B C, _ alcicudinis G: NI, ad alci. cudinem HINT: Cedquia AL, BF, CL, ac. ponuneur concinux proporrionales eriam A B, BC, CD, bSCC. erunt conci. AUX In FATIORE (UDEUM INECBTOTUM AL, ad AT. HoMaS Mele Pacallela sine, eric CM ad ALN. M CL ad FL hoc es exdaris, ve FI L ad IL; igitur racio crianguli AO B, ad criangulum BFIC, componitur ex rarionibus B C ad CD, ec TTF ad TF. Simili plane discurtu octen- demuss rationem crianguli BFTC, ad triangulum C TD, ex ijidem racionibus esse compolicams igicur criangula AOB, GFIC, CFD sune in continua analogia, Cii- licer de aliisidem demonttrabitur Patet isicur veriras propolicionis. X punctis enim Cn FL. F, etc. 2d A L, Ldemicrancurnormales OMI, FTH, 1O BL, CL, _C. e quia GM, HN, aC e ROPOSITIOLXKILI. Moncinoane circulum B C B a_a IINCA AB, H C; ex eodem puncto seductae; a CenErO LL MMCKaHO B, C, describatur arcus B F. C. dein- A do