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# Title: LBr. 56 · Bernoulli, Jac.
# Folio 49v, page id DE-611-HS-958800:0098
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quae eadem mihi exalio fundamento se obtulerat (Vid. Prop. LI de Seriebus
a in qua per ib primosterminos tantundem approcimatur, quantum per
mille terminos alterius.
De mussterio Anithmeticae Tuae Dyadicae (quam video esse supplementun
Tetractgo Weigelianae) nihil adhuc mihi inoluerat: gciis autem, quae de-
illa resers, non apparet segui quod intendis: nam  in serie numerorum
Fateor, sed prolixtor, nec ubique legis patiens
naturulium Arittmeticae Decadicae perionis lecui est, in altioribus autem
in omnibus potentiis etiam a tissimis dyadica ulique habet periodos. Demonstravi.
potentu a quantitatibus praecertim tanscendentibus nec in Dyadica nec
in Decadita ejus modi pariodos obtinere puto. vides enin inserie hac
quadratorum Dyadice expressa periodum quidem primae Column esse ot
0 00010
0 0 0 t
0 100 4
100
10000
1100125
10010056
110001
A
100000064
1010001
1100100
81
100
111 1001 121
10010000144
10101001 169
dum columnam consenre Meris cirris periodum ie esse
Errat. periodus quartae est 1 ∞03tiae est 0010 (rel 1000) periodus ita est eoioiae
1ovo, in caeteris vero columnnis nullas tales percodos
haberi, aut (si habeantur) saltem nullas periodorum
Non periodi sed leges periodorumdantur, sunt euum nam omnia lordine constane
percodos observare. Suit multis? Numerum illum Ludot
phinum 36 notarum, 31415∞. qui circumferentiam circulo
refert, existente diametro, cum 35 cifris, dyadicesi
exprimendum invemo:
111100100000OCIOIOOdOOnONOHONOONNO
 1110010OrONOOOIONOnONOIVOONONDOIOrOVOVv
MosvO, ubi exponentes vicium, quibus eadem
notass vel 0) continue repelitur, hoc ordine progrediunt:
110001000196 42161612222224142nnnumninnmm44.
11100001 225
100000000255 at nulla hic apparet notarum periodus, nec ulla progressionis
&c. ICx: lex non magis quam in ipsis Ludolto numeris 31415i.
C
do C
nereronnt comporitior yadic  nos consequa polle sperandum
e sa in dyadict, licet hal quoque non oboin primo aspectu
Ex , quue contra Canonem meum humationum movisti vir Amplissime, video
me Tiri non satis intelligi; id circo mentem meam exemplo declaro: sit integran
dum differentiale ax5 +b2+ + Cx + exx+ fx F 9, de Dh+ixtkX Il. duo me
illud ope Canonis mei satim reducturum ad qu+rx ++tDhx3+
aut saltem ad hanc quantitatom, auctam minutanve quantitate
Smxen,  hx Lix+ sexl, in qua exponens maximus extra vinculum plus qua
unitate superetur a maximo intra: unde patet, si quantitates ejus modi non posiint
absolute sunari, me praestitisse quodcunque praetlari poterat; at ininter infinitas