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# Title: LBr. 57, 2 · Bernoulli, Joh.
# Folio 41r, page id DE-611-HS-3653099:0081
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Multas 2. bi gratias ergo pro curata idilcon
Fecisti pro prudentia tua solita, quod meis extemporaneas
notationes retinuisti facile enim fien potest, ut in
valde Tiviobstrictus sum et nultas gratias debeo
al
illas sit lapsus g
Multas lubi gratias debeo, quod chediasna amii
a huc pliqando honnulla
publicari curassi. Aliquando per occasionem poterunt plura aliquit ad me
emecperferri exemplaria proil benigne offers.
C
sit
extemponine assi
notationes meas ad Rollii
ad n
considerationes terum retur iltinuisti, facile enim
jaterim s nondu
fieri potest, ut lapsus sit ad missas.
salis video qua necessitale oporteat aequationem calculo Huddenian.
vel simili inventam continere max mo. minimam non
tantum ordinatam, sed et coordinatam. Evce enim
(3X +2. 11X +18)
dy: dx = (~ FUXX +, 2X + 13) (2X + 21) - (XXTZIX +22) (t VEX),:, H (XX t2IX + 21)
et pro dy= 0 prodire num  numerato eneurihila aequalem
eale
et priusse
pna
ac pro xnomerato denominatorem, sive Huddeniauo si be-
differential, calculorem instituas. Nam Huddeniano
227
et yx
mor ert aequatio X + U1X + 12X + 13 =H XX + ZFX +EEM
pponendo maximo-minimam Ya. ita jam
multiplicando per numeros progiesionis Arithmeticae
+
quem. valorem
3, 2, 1, O, fiet y = 3XX + 2. 11X +(2)
aequando priori habebitur equatio queadem, quam dat nos
mmerators At vero vides non esse necesse, ut in fractione rostra
actios mule aequalis.
vilorem ipsius di: ex exilicante numerator et nominator habeant
communem divisorem, quod necesse esset, si oportezot radices
equationas XX+2IX + 22 =0 esse mtatici pro dx - 0,) esse in
(qua valat.
Huddeniana quotest pro
radicibus aequationis pro du = 0. alioqui necesse esset 2X+2) vel
X +UXX A2X +,3 habere
communem divisorem cum XX +21 X + 22
unde etiam esse ibperio hic periodos memo consigeravit
Haec ut consideres peto.
Difficulta in deai period pro legibus periodorum inveniendis in Secadicis
incomparabiater est major quam in dradicis. Cum illic sint derem notae tractandae, hic tantum
qualta ek
duae, et perjodi in columna prima in secunda, entertul sint in  dyadicis lororum 2, 4, 8, 16E
in decidicis locorum 10, 100, 1002, 10000. ut ade ui vel ratocinatio  inductio nimicta
vam immense varitate obmuntur, u