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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
# Lines: 29 recognised, mean confidence 0.92
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culum et diameeri quadrarum s huic objectioni respondeo
posirocirculi diametro b, erit ipse circulus terminario seriet
conversentis, cuius primitermini sunt b, V2, et secundi
Vqb+
264
e proinde quadrarum diameeri est ad
2 B2 . V92b+
circulum ut b ad praedictam terminationem, quae torminatia
nobis nullo modo est maris incognita quam radix sur de solida
numeri 40. dicune alii non bene esse demonstratum (in (cholio
prop. 5) sectorem AB PP eundem esse cum terminatione (eriei
conversentis, cuius primi termini (unt criangulum ABP e
trapexium ABFP, ex socundi, rectilinea ABIP, ABDL. P:
et proinde plenam demonstrationem hic subiicio: si sector ex
praedicta terminatio non sunt aequales, sit inter illas differen-
tia Z; er producatur series conversens donec termminorum
conversentium (nempe P e7 ) differentia sit minor quam
Z euidens enim est (ex prop. 6.) hocfieripose; hisce positis,
patet tam sectorem quam seriei terminationem consistere inter
terminos P
quarum maxima ex minima sunt P e D, intermediae au-
rem sector ex terminatio seriei, eritque differentia intermedia-
rum nempe Z maior quam differentia extremarum, quod
est absurdum, nulla erso est differentia inter sectorem ex serieui
terminationem, de proinde aequales sunt, quod demonstran
dumerat. Alii obiiciunt contra prop. TT. ita; (i addatur
23 Termino 23  22 b er termino b22 + b2 2, eneruerur vis
utrius que demonstrationis; respondeo 23 esse quanticarem in
defi-