# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:1017 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:1017?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio 960, page id 1815201908:1017 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1017 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00001017.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine # Lines: 46 recognised, mean confidence 0.91 # 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. 60 NNGYLA CZLINDRICA PROPOSIIIO ac plura ia infinicum. axi cylindri equidistene, semics lindro inserib antur prismaca plura semper Dico tandé ex lemicylindro ABC D, relinguendam quanticarem Colidam qua- vis dacâ L, minorem ex continuara line cermino prilmacum ablatione. Demonstratio. Scensum praecedenci propositione criangula illa seomencis in scripea maiora esse dimidiis seomentorum, quibus inseribuntur: est aurem rario prismatum ad seomenta cxlindrica eadem cumracione balium crianguloru nempe ABD, AE B, BD C ad segmenta circularia, quae lune bales seomeneorum cylindricoru, cum alcicudi- nibus non differant. Igitur d prilmara inleripea maiora Cune dimidiis corporum quibus sunt in- scripca. quare per primam decimi elementorum perpecua prilimacum ablacione tandem e cylin- drorehidua hec quancicas daca P. magnicudine minor. Ouod crac demonstrandum. PROPOSITIO VI VIEAB axis eplindri C DF, cuius ba: SiS FCO, dinisa SIE BIFarIAM PeF FC diametrum, secundum quam siharlectio FOKL, abscindetur ingula FCCL, bali deinde FC C, inscripro criangulo maximo inscribantur ex residuis seomen. eis maxima triangula; e secundum has lineas consticucis planis quae axi cplindri aequidistent, vngulx prilmaca inlcriban- cur plura semper ac plura in infinicum. Dico ex concinuaca line termino pris. macum ablarione relinquendam randem quancicarem dato Colido M, minorem ab ongulari magnicudine. Demonstratio. Aseribatur semibasi cylindriex criangulum maximum ABD, residuis ue seomentis maxima criangula in(cribanEUE AE B, DOB: & Guc hoc semperHac. Per lingulas deinde harum linearum ductis planis quae DEx prxcedentem propositionem eonsque concinuecur ablacio prismacum à cplin- aooce a ao ddesicur reliduum naiusctu TCucuO