# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:0820 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:0820?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio 763, page id 1815201908:0820 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=820 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000820.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine # Lines: 41 recognised, mean confidence 0.78 # 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. H p DC 106 D EXI CT 1IIIII 211 IN PL ANV H Demonstratio. DLanum BC ductum H CB peF prxcedentem aquale es M C ducto in CF: sed B C ductum in C B xquale eA BK uc CD, ia Can LC adel in CB d MC doc IH CH aequacuT MC ducco in CN _ MC ducto in NF. loicur CD Cam RC In CB, aequatuE MC in CN, cum MC in NF. elt AUTOMPTATCrCa KC ductum in C D ottentum : xqualeM C ducto in C N; ablaris 2 67. huius. isicur xqualibus, nimirum. RC ducto in, CD, _ M C ducro in C N, remanebie BK duccum in CD aquale MC duccoin N P. Quod fuic demonstrandum. PROPOSITIO LZXXV. lem posiris demittatur ex C, linea C HT F parallela e xequalis axi AL. Dico M C ducrum in E. HI aequari BC ducco in DF. Demonstratio. H ad CF, ACBC C AdDMC: SCd VE CFI ad C F, sIC C F ad CD, B Ex LOS. hicur BC est ad MC, bECF ad C D: eAt aurem ve F C ad DC; AC C F( F doparabola a F. D; quia HC, F. C, D C proporcionales sunc; Egitur De HH ad RD, SiCB C ad progressioni- M C: etBOrCCtanS II C HF. Lquancur reclatipulis BC DB; icicur M C duccurbu. in FTF aquacu DC aCtO in DF. Quod fuit deonstrandum. PR O POSTF IOLZRXVI Dico mashicudinem prouccam ex B MI ducco in L. C, X quarima- IIdem potLS. le1 snirudiniosre ex BC dueto in DF. Semonsorto. 5. calcoade SLanum BC duccum in planum CF, aequale eA BMI ducro in CF _E M C, L aucco in C F; sed M C duccum in C F. equacur B C d ducco in CD; igieux _ dICZ. hu BC ductom C P. aGuare e DM ducco in CP, vna cum BC ducto in CD. Rurlum B C duecum in CF. Xequatur BC ducco in CD _ BC ducco in D Fi Cr- ixicur communi BC, auclo in CD. remanebit BM ducrum in F. C aquale BC ducco in DL. Quodtuis demonstrandum. S0BML in C B cum B C in D, a CI CD C BC in DE; ablaco 1e es etrepe 3I LN Aope u t e te e te te e e e e es s e e t t e e e et t t et u e 1e e e et te e t e e e be t e t e t 1