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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 9
# Folio 9v, page id 00068104:0018
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068104&page=18
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 21 lines, status machine
# Lines: 21 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.

etiam quid prodeat, si divisor sit trionymus
aut tetrongmus, etc. a  et divisione instituta
licebit componere plures series sic prodeuntes inter se, ut
ut per destructiones vel explicationes assumtitrarum effi–
sientium prodeant feries jam cognitae, aut ex jam cognitis
per literae capitalis explicationem facta
postremo ducuntur jam hinc et quodraturae irratio-
palium plurimae. cogitandumque est quomodo paulatim ad
omne irrationalium genus via aperiatur, et quasnam
ratidnales ad circulum aut Hyperbolam irre vocabiles
se oporteat. Et mirum illud, quoque
volvendum est, quod
datur ex Hyperbola, licet 1t nn
1+Hn
ex circulo
resolvatur in imaginarias, cum tamen junu
pendeat. In his latet materia iugens pulcherrimarum
disa visitionlem. Et videatur quomodo Wallisianis inter.
nostra
polationibus concilientur, ut quod fecit iste in solo casu
altimae summae, a nobis transferatur ad quam cunque.