# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:1028 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:1028?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio 971, page id 1815201908:1028 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1028 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00001028.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine # Lines: 55 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. ACDLA CPLIHDRTCA. in se ducto expauru soannt iam incs Undro sermenta circularia parallela L. NI, HS aequalia sincula sermento AC sive DF, sine OP, quae intercipiunt rectas MS equales ipsis BF. fantq, tam SI, quam LV aequales ipsis SN. hoc est A C, sine DB; erUnIG, LOIA M V aequales rotis AB. acantur de inde plana per NF x NVV: erit NVST quantitas par quantita- s DFC, ex quantitas NT V par quantita- i BC D, ac proinde rorum solidum NSV aequale solido DFE B, hoc est OPOR, consequenter erit cotum L M VI corpus, aequa- le corpori C F EB, quod natum est ex ductu A C in C B: quod aurem corpus hoc L. NI V N perrineat ad vnculam XM. patet, quoniamt Z M dimidiae sunt M V, es NS dimidiae sunt SV. icitur anguli SNV aquales sunt angi Iis MZ V. quare XNV sunt in eodem plano. Exhis ereo huncin modum exposiris habemus sermenta circuli inaequalia A C es C B, in se mutuo ducta producere seementum ongulare LMVN abscssum plano L. N, a tota ongula ZM V, cujus basis est par circulo AB, es alti- iudo aequalis diametro AB. hoc revocet in me- moriam Lector, ubi de scemensis circul in se ductis mencro incideris. res aequales; quemadmodum de toto semicirculo KOLDSITIO ZX olidum productum ex lemicirculo in le ductoad aliud similicer orrum ex alio semicirculo in se ducto criplica- cam racionem habet lacerum homolo- SOruM. Incicaque AB. C Damec emencuo- DEUM AFB, CED qui in se ducti produ- CANECOrPOTA AFCB, CP FID. Dicoilla eri- plicaram incer le rarionem concinere diame- eri A B ad diamerrum CD. Sune enim limi- lia corpora, quoniam bales similes (une, de mo- dus quo tormancur communis. Vnde necesta- rium est Corciantur proporcionem communem similibulque corporibus debicam quam ex ele- menris constar ese rriplicacam lacerum homo- trt eteset atibo aoun quis huic demonttracioni non ac quieleac, vei poceru inlcripcionibus corporum Uimilium, licue propoliione duo decima luius factum est, e per progrestionum regulas illis incer se collaris cruere racionem quam sinc du- bioreperiet esse eriplicaram linex A B ad C D, cum Angula corpora inlcripca similla candemrationem obcineane rel lez ac proposicione huiuslibri erigelimam quincam. ed e i e e su t t pi pi eti a . t t e i ti ut u e et u pt u t ute e e t e u e ete s i t . 1 1e 1 1 at at e t pt