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# Title: LBr. 57, 1 · Bernoulli, Joh.
# Folio 24r, page id DE-611-HS-958803:0047
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sus inter potentraum indices seu logaritEmos, et nestros differertiatum quusi Locariohinos reperitu, qui etiam ad poly adrara
parte una su mpnalionu
mkaxtus etsa int
e
e
suecedere a
d
XXy. Namusi Sugceditor extractio hubedet
seu (Xaque = LaX
2
.367
+ 3
CX
4
ummatio
et
s
 1
posito n significare minimam valorem
V
1
Hanm igoea
sed quaeruntur coefficientes a, b, c. id puto.
varum imieu ponens
tentari posse petemns 
anto
 per unicam
literam incogutam quaesitam e, unamque datam
u
fiat ergo adn
7)
10C+1a, ba 2olet 2 eate
=20eC +2Ca + 22a4  C= 30C
+31Ca+32+
et ita porro, ubi numeros 10, V1, 20,4)
hubeo loco literarum
10
etc. ad
praeterea explico X, facieni
C
17
X= y+ r, cujus rationem postea dicam. Expli
caudo jam aeq.5 per 6,
om
18, 9 etc. et per aeq.
et didinando secundum Y. Habebo aequ. 11.
 
cujus forma est  +. V +. V ere
2
1)a
M. Hanc
jam opertet differentiare, sed ita sola litera e
in ipsa consideretur ut differentiabilis, a
ita habetur aequatiodva 12. in qua subla
est m. sed porteret etiam in ea tolliy
quod fiet divellendi ipsam in ut aequaliores
destructitias quot sunt terminu, quae omnes
cum sint secuniam unam in cognitam e
debent coincidere inter se id est arbitrariae
10, 11, 20, etc. ita explicando sunt ut
quaevis harumaequationum dividi possit per
daadem aequationem finitam, valorem ipsius
1
ata ad sevem infini-
C exribentem suoivento
tam pro curva quaesita perventum eret
sed praestaret si temper talia problema possent
rreduci ad aequationes differentiales. Caelerm
nisi explicuissem X per ver vel simile, non
licuisset rostituere divulsionem, quia nunneri ipsius
.
equationis
S non fuisent ingressi calculum
t