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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 23, page id 834940469:0031
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=31
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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 0.87
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

eesseriei caponentium ese exponentes racionum, termi
orum convelsentium sericiproposiex ad primam Certet
quantirale LL. Modo vrriusque sericitermini convergentes
linc in eodem ab inirio ordine: e proinde cerminatio seriei
exponentium per huius, inventa, quae LX. GEK: (IEL, erit ex
Donens racionis, terminationis seriei propolicae adt primum
terminum A: inveniacur isitur rario Z. ad A que sic mulcipli-
eaca racioris dara Bad A inratione data L. ad fL, cricque L
terminatio guaesica, quam invenire OPOrtUIE.
Ad hoc problema in numeris illustrandu (IEM 4, 1(2, O LI
A6, B HOS EFUMELCCIAIEErMINI COMUEFGCNLCS 1960, 1992160
TerEIi TERMINI COHCESENTES 19997776000, 19999200776960000000,
d lericirerminario: rc360.
Alind exempTuM, SIEMIS, NP, 2,O3: A5, B FOS CruHE SC.
cundicermini convergences. rc250, raso, Terrii termini couer-
BEceS, egCC488281250000000, 19907812500000, 8 seriei terminatio
rs 2500. hractenus rerminauimus omnes series convergentes
queheri possierela Sola proporrione arichimerica vel à lola
proportione geomerrica, nunc veromethodu aggredimur,
cuius ope omnium serierum convergentium cerminationes
AmodO SInEIn FeruM nacura) inveniri pONUnE.
PROP; ZO PROBLEMA.
Ex data quantitate eodem modo composita a duobus terminis
convergentibus cuiuscunque seriei convercentis, qua
componitur ex terminis conversentibus eius dem
Seriei immediate sequentibus: seriei pro-
posita terminationem invenire.
leteries convergens cuius duo: renmm Contersentes
quicunque hhe a h. de termini conuersentes immedia-
22.
rgab
Cumma rerminoru couergeneiit ars l
EcLquentesrgab
plicaca eoe a CMC.II 22 rf. I:
de lummit Cet sum Conversenciu imm eciace. scavCHEII
AYDRCIMI DC