# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:0265 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:0265?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio 208, page id 1815201908:0265 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=265 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000265.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine # Lines: 54 recognised, mean confidence 0.87 # 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. 1 m p.1 1 . 11 208 LA C. V. L V3. Demonstratio. Vn enim anguli ad F recti AInE, etunequa deata AD, CB, Xqualia quadracis A P P D, CF P. B. Ced iiidem aqualia quoque sune quadrata AC, D B. igicur quadraris AC, BD, aequalia sunc AD, C B quadeata. 1. Oli nt eo PROPOSITIO LXXVI Dictutat Suta ADCB, ACDB simul sum pca, dupla este heu- ea acatera ACBD A. Demonstratio. Eatanoula duo ADC B, AC DB aqualia sunE 2 rect anoulo AB CD, sed e ABCD rectangulo Gualia suncrectangula AP. C, AED, BF. C, BF D, qua Cmul sumpea b dupla lintt Agura AC BD A, igicur e rectangula ADCB, ACDB equalia sune rectaS S AF. C, AF. D, BFC, BF:D adeoque ex dupla AguEK ACBDA. Abulum demonctrandum. eROPOSITIO LXXVII. Fceriticerum sele ad rectos in circulo linex AD, BF in C Dico quaruos quadrara partium AC, C D, C B, C F, simul Cum- oeaus Guacat amerri esse aequalia. Demonstratio Ranseac primo alcera linearum, puta A Da Celcu circuli, iunganturque AB, BD. cum igicur anguli, ACB, DC B recti(inE, erunc quadraca AB, BD, Xqu2- lia quadraris AC, C en de CB, CD sinc CF, CD, (quia BF. in C ab A D diamecrodiuita est bitariam) scd qua- dracum AD, quadratis AB, B D quoque aquale est, cum AB D Cc anoulus Temicirculi adeoque rectus, ioituE etiam quadracum AD, equale eAequatuor quadearis AC, CB, _ C B, hoc cA CF, CD: quod tuic primo demonstrandum. Ouod Sincurra lincarum AD, BE Cran(CAE pEF Cen- erum, iuncta AB, delcribatur semicirculus AC B. qui per C punctum cransibic, cum angulus AC B rectus POnAEUT ex A, veri diamerer duCaTUF A C OCCurrenS circulo ACB in F, per quod collocetur BFIT: iun- sancurque HI C, PD, cruncisituE HC, FD linex a- deoque quadrara incer c sc aequalia: quia vero qua draca AB, HI C, Cunc aequalia quadeacis HIF, FC, AF, FB, id est quadraro diametri A C ve prius ostentum esti igitur de quadrata F. D, AB, quadraro diamerri AC aequalia lunes sed quadrata B. D, AB, aequalia sunc qua- deacis F C, CD, ec AC, CB, igitur _ quadrata RC, C. D, AC, C B, quadraco diamerri sune aqualia. Quod Fuic demonstrandum PR IIdem policis. l. a DPatet es temensis. t t tete pe te et s at pet e e ate qe t et e it A a t e te t ite t a t l