# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:0428 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:0428?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio 371, page id 1815201908:0428 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=428 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000428.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine # Lines: 48 recognised, mean confidence 0.85 # 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. Ca P A R ABOLL. Corollarium. lnc pacee qualcumque duas contingences parabolam, convenire in aliquopun- Ao excca lectionem: pacec exiam demonstraris. PROPOSITIO XXI Tontingences actx per extrema ordinarim applicacae cum ciuldem diamerro, in rno codemque conveniune puncto. Demonstratio. Icad ABC parabolx diamerrum BD, ordina- eim applicata A C, AICO CONEIHGENLES POT A ex C ductas, diametro BD occurrere in vnocodemque puncto D. demonstracio patee, cum pars diamerri a sectione de concingence incercepca aequalis sE porrioni à sectione e ordinacim, applicaca inter- cePEX. isitur concinseneS, de C. Quod crar demon. prandum. PROPOSTEIO XXI DErdacum punctum in perimetro parabolae diametrum ducere. Constructio ex demonstratio. Ie in ABC perimetro astienacum punctum B, ex quo oporrcat diame. erum poncre; ductâ quavis secance B E, exhibeaeut illius diameter a HIF, cuiper B xequidictans ponatur BD: P2- ret illam bsectionis esse diamerrum: à daro isirur puncto, e c. Quoderacta ciendum. rollari rum oporrearponiere. Constructio ex demonstratio pacec ex plima propositione. a3. trinr. 6 huius ihdem omnino praxi vremur, A et dato, exera velinera leaionem punato D, dlame: OPOsITIO XXII Aca parabola attet racllte. Cosmuro es libiibi IcA BC Pataboracuts PatalleeenAC quatu stratio. axem oporcear exhibe. res Ponantur dua guaenis cxoearus Maels BF: da gdaM ex V a C normaliret dUCANEUIEPC LMi accclalsae Mllatcllui cuta L. C bilarta clllla