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# Title: LBr. 57, 1 · Bernoulli, Joh.
# Folio 21v, page id DE-611-HS-958803:0042
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 22r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-958803&page=42
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 76 lines, status machine
# Lines: 76 recognised, mean confidence 0.75
# 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.

ficam abitergit et per urinam educit: Et reverâ per iteratam iitat
potationem aqua omnino se liberavetat a motertissimo affecta à quo de
sealus fuerat, mikique affirma bit le nullo alio remedio pertotat vien uum
fiosce. Portea ab Muurtio Horpitalio intellexi, Conjugen suatu eodem hor
remedio ab angina et inflanatione facuua curatat frise. Quantum
ad me nemini id consuleren, hisiprius complexionem suom probe epplora
tan caberet et securus escet vires suas tot aquis perferendis pares esce,
alioguit natura sucumbere et quati suffocari postet, praesertia sinon
eadem quantitata itatia per colinatm redderentur
Cun Tua Mihi sit charior sanitas quim mea, ei hac  vice rebus ma
Themalicis non oro moletois; id saltea moneto, quod ia ruis altiii anno-
lavi: Egregia sant quae ex ratione mea serien generatem indagandi dedupilo
mihii scfficit Li inventa nea ulut tenuia magau viris occasioneta dederint ad ma
joca: Interia ea calculo Tuo lastium referio, quea snud dubie pracipitai
ter comiteris; quique facit ut seriet pro 2 dn sit longe alia et notabilior
quam ipre putaveris: ut diiorimen videas calcutum iccum seu repeto,
posito daz =0
. d’ a + est
Ldin
ed
m
ed
2. de =
din
in = eedz (2C.2-2
+eed
e-1 -
e
rse2
e
n.d
anLCa
ldl n- c2. d. n. d2+ ee
i
Hac meo judicio ita corrigi debent
posito dd
20, erit
+ C.
ed
e
C d n = +2
n = c. e- 1. d2s
ergo vera seriei
Be m
n - e. dC 
2
n
e- 2 m-2
= e
. au n+ e. e.
C3
m-
e-3 s q
a
L 3
nde +V
Unde liquel, si e sit nutnerus integer et affirmativus quantitatem 2. dn (quad
memorabile prortus eit) esse sumabilem, eo enim in casu e exhauritur, proindeq 
series abrumpitur et fit fiaita: id quod per ruam non fieret: opoitet autemutn
sit major quatm 2, secus enim unus vel plures seriei termiti involverent sumas ipra
rum n, quia Lunc d; d2 d3 degenerant in S. h2, B, ceu ru ipre annotart. Hinc
posito exgr. e = 1, m = 2 et posito de =1. erit
e
Zddaa = Zdda -an, posito e = 2. m = 3, erit sezaudn = 22 dda - 22 da + 2a, quodeliaa
elim Pariscis sed alia via inveneram, et 8. Hoipitalio tanquam Lngulare quid
m
b
= = c
n. aZ= + ee. De 2 so2
2
Recte correctum
= - e.
n
ergo
el
+ e. e