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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 58, page id 834940469:0066
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=66
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.91
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# After the first blank line: the recognised lines in reading order, one per line.

DEquis praedictorum problematum. mechanicam detide-
ret praxeminon ditticile crit calculum, approximario
ne, de aequacionis relolurione secundu vulgatas Gcomcerir
practica regulas quodimodo imiraré. multacalia proble
mata porsem hic reloluere ope analrlos ee nostrae lerie
rum converoentium doctrinae, quae ancea impossibilis eestin
mabaneur: (ed dicer Forre aliquis has resoluriones non es
se geometricas; respondeo.  per geomerricum intelliga
cur praxis opelolius regulxe ex circini peracta, hanc in his
non lolum esse impossibilem led etiam in omnibus proble
macis quae ad aequationem quadraricam reduci non pol-
Tune, sicur Facile demorstrari posset; de (I per gCometricura
intelligatur reductio problemaris ad aequationem analy-
cicam, omnia lxc problemara tunc seomerrice impostibi-
lia, cum ex hic demonstraris, manifestum sic talem redu-
ctionem heri non posse: ( vero per geomerricum incel-
ligatur mechodus omnium postibilium simplicistima; in-
venietur fortasse post macuram considerationem omnia
peaedicta problemara esse geometricissime resoluta. dili-
sencer animsduerrendum totam serierum convergenti
um doctrinam posse etiam nullo negorio applicari lerie.
bus simplicibus. Sic enim series A, B, C, D, L,dcC, talis natu-
rae ve tertiuscerminus C eodem modo com
ponacur ex primo se secundo A, B, quo
quarcus D componitur ex secundo de cerrio
B, C, de quincus F Cx certio _E quartO C, I
e ACdeinceps in infinieum; Ecque differen-
tia ancecedentium A, B, maior lemper disse-
rencia immeliace sequenciu B, C; (uppOn2-
mustrane seriem ica in infnitum concinuari
donec duorurerminoru immediare se invice
sequencium nulla sic disterentia, sirgue rnus
ex illis terminis 2, quem leriei terminario-
M
P I
C