# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:0103 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:0103?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio 46, page id 1815201908:0103 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=103 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000103.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine # Lines: 46 recognised, mean confidence 0.82 # 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. 1. . . s i u. 1 1 1 seixeri. L IN F A R V M ccum esse quodiubetur. Ratio enim rectanguls ABD, ad quadeatum C D, compo. nitur exratione AB ad C D, _ D B ad C B, Id es ex ratione CD ad C. Sed X 4b a5. Desin. ratio linea AB ad C (id est P 2d F per construcrionem) compolica cstex rarione a AB ad CD, XE CX CD ad G, isituE ADD recrangulum ad quadratum C D. eam habetracto suu L. de 2. Mat ergo AB lineam in D, ec. Duod b 5. Defin exe etacLalienauu OSTEIO LXXV. nem F ad 6. Ineam A B dinisam vecunque in C ex D, icerum diuidere In F, vE E. AC rectangulum ad rectangulum E. BD, daram habeac rario Constructio, es demonstracio. itat ve AC ad DB, sc F ad II, et AF ad E B, VEET adC. Dicotactum esse quod iubetur. Racio lincxe F adC compolica est ex ratione F ad FI, _cHI 2d C; sedratio B AC rectanguli, ad cclansuu EBD, compolica eAt Cx c23. Soxsi. Cratione AC ad DB, ii est per constructionem F ad FI, X CX AF ad F B, id CAHI ad C, isitur vE F ad C, sic F. AC sectangulum, ad rectangulum F. BD. Divdmusigicur lincam AB in F, _C. Duod erac Faciendum. PR OPOSITIO LXAVI c AB, C, uilx quo amodocungue Dico quadraea parcium AB, ia Cu scCaSIS AE B, F FB bis sumpris, ad quadrata partium linex CD, una cum re- quam AB quadracut ad quadraTUM C D. ctangulis C GD, GHD, HID bi pio, ca habete latorem Demonstatio. 161. tnrus Emonctratum est AB dquadracum xquari quadraris parrium linex AB vna cum rectangulis AFB, F FB bis sumpris, quemadmodum eriam de quadraris par- cium CD ciusque rectangulis COD, EFTD, FTFD bis sumpris; Pacec ergo ca in- cettelllalae Oocllete laliodeu qua llcet Gldclata AhCC Ledccu. SIILO EXXY Learum duarum alteram ita secare, ve lectx parres cum insecta, in continua linc analogia. nem hanc demonstraa in dio oro in p 00 (. 36. duplici methodo. labet alia ramen prarii hic eandem expedire. Sp . e t . pti 1 . 1. p i u a Bm. e e i