# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:1224 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:1224?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio 1167, page id 1815201908:1224 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1224 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00001224.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 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. eT7 alt Ly, et de pepto que eM incer rationes corporum P n ad QV A DR A FVRA CARCVLL L. a de B b adN0. Demonstrario. at DEmoneratu Chm est= quod proxorrio qux est incer raxiones CorpOrum C Ad aBs. huines P, e I ad X. lic cadem cu proporcione qua est incer raciones corporum Pad L. _ R ad N. Irem demonstracum b est quod proportio quae eA intet rationes corpO. BOs. buius rum CZ 2d TN, e IY ad Xr, Sc eadem cum proporcione quxe est incer rariones COrPOrUM Px ad L. W, _C R b ad N∞. IBiCUE CUm prOPOrtiOneS quX incex sC COmpZ. CA3. Prop. rancur exdem unc, c constat rericas propolicionis. PROPOSITIO LXXXVIII IIdem posiris: Trerum dico quod proporrio qua estincerrariones corporum FI ad Y, _ Iad X, ad proporcionem qua cA incer rationes corporum adM. _ R ad N, Sic reproportio quae cstincer rationes corporum HB ad V _ lgadXr, est ad proporcionem qua estinter rationes corporum 2dMe, _ R it ad N5. emonstlalto. Let ao eadem est cum proportione qua est incer rariones corporum () ad MI, _ R ad 83. huius N. Treme proporcio qua Cs InCCE ratIONES COrpOruM LIB ad V p, e LY ad Z V, C D5 huius. eadem ost cum proporcione qua estincer rariones corporum ( p ad MIC, R ib Hac veriras proposicionis. 1d. ero ort. Vrsus enim sproporrio qua estincer raltares corporum H ad V, de T ad Z. monstrai a e TEuneior sim in isdem demonstrationibus semper repetendis, idem intelliet domnns de ROPOSITIO LXXXIX quibussuis aliis subdinisionibus; modo corpora eo modo sumantur prous hic sumpra sunt. Ildempolicis Dico quod ratio ageregari quanricarum C, HI, I, H ad aggregarum quanet ie 1 t 1 1 1 t e. e e u. 1 . 1 1. pt e u it 1 p s te 1 . u u e u o e . tap i