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# Title: LBr. 705 · Overbeck
# Folio 40r, page id DE-611-HS-861255:0079
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 41v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-861255&page=79
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.97
# 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.

Per-Ilustris Dominey
Vir Magnifice Consultissime
Domine mi Gratiosissime
Quae postremis a Vtra E
verano repetita sunt, ea de recursu historiarum priorum ex
valde nobili fundamento agebant. Pato tamen distinctas hic
formari posse vastiones:
a) An omnes historias oporteat recurrere iisdem Periodis
2) An oporteat certum historiae segmentum recurreret
3) An oporteat praecise hoc segmentum vel aliud aeque
magnum certo, recurrere
Q An semper restare porsit segmentum quale nunquam antea fuit
quod voco segm: Reservatim
Priores duas Quaestiones affirmare non ausim, quin porius
quantumvis magnas multorumque annorum.
Deo placitum fuerit infinitas dari historias existimem quae
nunquam recurrant. Ut enim vastissimam rerum variationem
in Problema Mathematicum convertam, pono elaborari quo
libet momento temporis unam Notam Decimalem seriei 13.
valorem explicantis d fluxum hujus seriei accipi pro fluxu tempor
nitium hujus seriei est Z, 23606797772334 etc: Si jam haecseries
tandem per certas Periodos recurrat hoc indicio foret Valorem
YS. esse rationalem in integris Numeris saltem ineffabilem
uti ex induclionealiarum ejusmodi serierum constat. Sed quia Valor
V5. talis non est, hinc Quaestio prima statim rejici poterit
Secundam Quaestionem nemo arbitror affirmabit qui pri
mam negaverit Verbi gratia segmentum 2360679777 prae
cise eo ordine ut necessario recurrat non poterit extorqueri
nisi presuppositum fuerit totam seriem per certas Teriodos
revolvi.
Ad tertiam ergo Quaestionem Affirmativam cogor amplecti
ere vonas
nam etsi segmentum 2360679777 praecise non recurrat, tamen
aliud aeque magnum segmentum necessario recurret (ad longissimu
as
absumtis omnibus combinationibus per quae tam magnum segmentum
potest diversificari, idque certum manebit etiam si pro exemplo
sumtum sit segmentum multa millia Notarum continens
Inveniri insuper potest Notarum Numerus intra quem vel hoc
datum vastissimum segmentum vel aliud aeque magnum recurrat.
necesse erit.