# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:1064 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:1064?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio 1007, page id 1815201908:1064 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1064 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00001064.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine # Lines: 49 recognised, mean confidence 0.88 # 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. YN CVLA CYLINDRIC etOSIIIO EXIX Aca SErngula AC D, a cylindre l decustata, habens alcicudi- nem diamerro baleos aequalem, a qua abscissum sic sermencum GBC D, Plano peraxemesameuntc. LX puniclo altem aacca Dico scomencum rnglate CB.C a Guae eie pamiat culus balis estrectangulum ADH, L alcicudo Cemidiamerer CD. sic B Fnormalis ad diamerrum AD Demonstratio. Atat Fuclld. Prop. 10. 12. eric Pals solidi cxlindro conseripri, criam contcripea vsau cuius excessus lupra ongulam erie pars excessus quo solidum crlindro cmput supetac csdrum. llare cum excessus Colidi conscripei oylindeo lupra cylindeum Sc dacominor, erit a Forciori excellus Colidi rngulx conscripei supra vngulam daco minor, ac proinde criam minor excelsu quo prramis ponitur superare ongulam. Fr- 50 solidum rnsula conscriprum minus elt prramide. Duod repuonac 67. hurus. Non isicur prramis maior est vrsula. Quarc cum neque minorem eMe probarum sic lu- pra, xequalis crit. Ouod tuic demonstrandum. Analosia cum sphaera. DkMa hic clucee inter sphaeram ee ungulam similirudo. DCMOMMFAIIE AECHIL melles propol. 38. libriprimi de Iphxra e cxlind. Termento sphaa luatenet Cc conum cuius balis est alscalis superticici seomenci, alcirudo lemidiamerer sphe ex lemilicer de nos iam demonsranimus seomencum decullacum ab vnoula pla- no per Cflindri exem cranscunce xequale esse prramidi cuius balis est rectangulum ADF. (quodper 46. huiuts aquarur superticiei rngularis sesmenci D C. B) alcicudo aucem aqualis Cemidiaetro (FD. Dcamis enim illa nec maior estnec minor Ccgmencorngulari. Ecenim, Cheri porest primominor, per 6. huius inscribipocest le- omenco rngulari C B C D Colidum, quoi de heiac a Seomento quanticare minori data, 2- deoque cciam minori quam prramis ponatu deficere a sermeneo C:B C D. Colidum igicus inseripcum leomenco BC D, maius cric pr- ramide cuius balis est rectangulum ADF, _ alticudo GD. Ouon lepuenac peacedenti. OBCD Non igicur prramis minor cst segmenco Ponatur deinde, si Reri pocest, prramis es se maior segmenco GBC. D. Cylindro cuius Pars estonsula, conscribatur (olidum superans exlindrum quanticare data minori, quod pra- ROPOSITIO LXZ. Xprxecedemi Theoremate alitet demontrabImUS PFOPOLITIOM. 24. Scuiushaec cstaserrio. Omnis rngula a cylindro recto abscissa, alciru dinem habens parem diamccre vatos (I) aguacur pscamidi cuius balis es quadratum diamct (D) alricudo aurem semidiamerer (OD.) L et 2 Demor u e at i 1 s tte es t e s a t ete st t pet qute te t te e t tit et u e e e e te e e et e e st e e t e e e e e e s et . te. 1