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# Title: LBr. 57, 1 · Bernoulli, Joh.
# Folio 23v, page id DE-611-HS-958803:0046
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 24r); this page is its left half.
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# Lines: 77 recognised, mean confidence 0.78
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cris in ter potentiaum indices seu logaritemos, et nostros differertiatum, quasi Logeriohinos reperitur, qui etiam ad polu nomia
extenditur. Unde ic sequitur
Unde loperae prendum eut prosoodam
quiu et
1
ideo
am
AXA  Kypotemmis paran. Et noyam
d
e
2
E
naxiua et
e
vateru extructiohes proceduns
aqe cparationem inter
kaxtus ea int
nem superesse circa
materam
Minima nondum exhaustam. Neque
im semper facile est problema reducere
ad tangentium inversam seu differentiales. Et
pli causa in Iuquisitione Catenariae si non per
eoremata mechanica alicinde novissemus ero–
b
tatem tangentium ejus dari respectu
1
es
centri gravitatis difficile fuisset obtinere quod
neae constructionem. sempe datis punctis
C
A et C, et longitudine catenae vel
funiculi AC, quaeritur natura curva
talis, ut AF sit comnium possibilium
minima. Hoc profecto problema debertt
analyfice solvi posse, ne carsiorum recta via
s
cesitum si anorebur, tangentes AT, et 
cconcurrere mn T sub G centro greus AE. Quam
a
si puiblima in sermutot propus prcendam gutas
ergo quaeso Methodum ad hib
ilis soboendum
uter alias cogitationes haec mihi in mentem
venit, per quam problema saltem videtur
reduri ad seriem infinitam
sr
sit X, et arcus AC sit 2, posito
quodcunque punctum in curva rifrat
= ax +b+ + Cx etc
et
et AF erit
y= minimo posito mesignificare
L
u possibili, et quia Z longitudo curvar
constans pro omnibus didersis curvaltitis
ibus ea eligitur per quam minim
naimus centri gravitatis descensus
hoveo
etiam
se
Xae
2
3
minim
aocentra in ejus valore qpie rensa ut ryhu v generalis
possum sa atinar pume ot
eaulam qu
lobere deber sine ulla rabulaia calculata quam consideino e
uto have qutoque raditationi probulura est anim genesis plun
ni
2
L
23
et
est
au