# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:0584 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:0584?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio 527, page id 1815201908:0584 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=584 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000584.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.71 # 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. 5L TV MI Euiditur liber hic in septem Paries, Veluri classes rocidem, quibus apte, ele Prima quidem pyperbolum; sectionesque tam opposus qua o Catas, dem asym poos eCon d edueit: prima sque ac fundamentales hyperbola proprie- eates exhibet. XVFs Secunda sectionum opposicurum ae concus atarum affectiones considerat. Terria asymptotos ex concauam contemplatur hyperbolam: ac linearum praecipue a symprotis aequidistantium indaeat proportionem. Ouarta seementa tam connexa quam concaua, dein sectiones ipsas inter se confert. Duinta hyperbolam a parabola intersectam expendit: in qua hic etiam ordo serua tur, vt primo linearum asymptotis aequidistantium, seemeniorum dein rationes consi- dereneur. 19eOISs Sexra, Varia soluit problemaa. il 231IFIC 1511I~ Septima, varias eeneses provonit; quae rum ex lineis ee circulis, cum ex ellipse es Parabola, denique ex ipsa oriuncur hyperbola, Secundo hyperbolas reducit ad fectiones e quibus ortae. Tertio reliquas ex hyperbola educit sectiones. Roliquis conisectionibus cori nobilior est hyperbola, sic affectionum illius contem. Platio, morosiorem requirit attentionem; nostriautem insticuri scopus est; sectionem diemur, ostes eus quam author prop. 12. lib. primi explicat, primariam affectio- nem. 1s loet out crsii viscion ei 2s eneinc eguoise ance estroas convensih p Bseroesiloggo rauel iers Aels s siste M ssm evirorle eelti 141 C 11 2(3E GCiI CC esisp yilerel L X X 3 Dt er1N et 1 2 1L santerque hyperbolae sectio pulctna que illius proprietates, suo loco sin- B 11. B3L ordine continentur. hanc, Dli ex praecedentes duas, non minus planam facere, quam sinc ipsa L. uclidis ele: menta. quia vero ex cono suam habet orisinem, hinc cum Apollonio ab ejus ortu or- 1 12 1 1. 1. 1 111 1 51