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# Title: LBr. 396 · Hermann
# Folio 7v, page id DE-611-HS-973581:0014
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 8r); this page is its left half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 306, 2026-09-10T21:30:56Z — 59 lines, status machine
# Lines: 59 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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a
talis est seues, aut in taleu transformataut
voties cunu et
series constet ex partibus
= b + C = d + e - F esc
ubi scilicet pluses
ab, C etet quaniquantitatem positivam
minus alternant, sive quaebis tarum partium sit
situplex; sive rursus ex aliis partibus constef) fune
significare scppono, sit
quesitos
ad sciendum utrum series advergatqu tantum opus est videre
as
an ipsa membra, a b, c, ete advergant nihilo seu
fiaust minores quantitate quavio data. Co. Hoc
dreoremque olim demonstravi cum meam quadcaturam Aritus
n
ficam edere vellem. Nempe si series a+ C= de
y Et fit y = a
a- b
a- b +C
a - b + C - d
eriter major ita tamens
Valon minor ut sit
justo major error
minor
etc
minor
d
quam e
semper scilicet minor terhiino proximo et post eos
ete
quos adhibemus. Itaque tantum eans est d trans formaretur
e
alb
in quas
proposita seriea, in aliam ubi + et - in membris atternarent
Erimes vel transformatibuis, qui possibilita
unt
ejus restringites, vel advergentiae ad nihilum in ipsis
arit limes possibilitatis seriei
terminis aeforebres nobis caliande nempe ex ipsalaquatione Mori sunt
endo putem in radicibus Nequationum
in Radicibus espatioum limi
et possumm entium srone forare cnfapones. pros arbitrio, lisa in ra apsis
iati siis eritus limt auds  voluimi
opinor facilius dabsitur modus ox ipsa serae serdei pomitum possibiitatis ddeducendi
e
posse namequatinum lantes altunde nobis suut
ad valotes.
noti et possumus etiam transformare Aequationes
pro arbitrio. Hubita autem Methodo generali
in radice equationis per seriem expressa
eponstrandisunt emirandi adverget
promoveri posse ad serre,
et res fatiur pse movebitur deinde
putem decnderem
quarum origo ex aequatione aliqua
ordinaria