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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 9
# Folio 2r, page id 00068006:0003
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periodorum.
olumnae A. seu bis 4 est 2000 dy aedice
id et dat or in tertia columna sum matrice eto.
doperiodus, simplex dabuis set unitates tres, tunc
lix
+er5
1I ee 2. 3= 110 ∞ 3. 3 = 1001. et 4. 3- 10B etc
Et ita primu oolumnu, summ atricis periodas for
odi columnae,
et
mancae, serundae columnae summ atrcis
quadrupla periodi columnae summanda
 octupla eec idque contingit, quoties suma
penodi ipsine A est numenter inifari
Assiomo jam Lemma alterem: Dure vel pluree
columnue periodicae in unum additae, ita ut Atatur
Terminus termino respondenti, dant seriem periodicum
Nam si duae sint columnae addendae, D, E; semper ad
detur aut oe0, aut 0 eei aut 1eer. Dnmo casu pro
dit o, in seriei conflatae 
idesto cum prima columnae Fisecum
casu 1, tertio 0 seu 10.  translato 1 in volumnam
columnae nisi binue f eeC
harentis prodeunt
ex duabus prioribus utraque sequitur
periodum columnae longissima periodo praetitu, quae
hic est E. Nam semper post hano redeunt puora
Suxpono enim, ut semper in nostris dyadicis.
periodum majorem continere minonem, esse
scilicet ejus duplam vel aplam vel octuplam aec
quanquam si una alteram non meliretim, tamen
periodus communis tandem haberetur facta ex nument
periodicis, ut si una periodus esset terminorum 3, al–
tera 4, periodus communis foret terminorum n)
Hinc sequitur rursus etiam trec vel plures alias
olumnus in unum conflatas ita scilicel, ut ter–
mini repondenter, in
utq
periodicam; cum Tertia columna periodica adden
da fit conflato ex duabus prioribus, quod uti jam
ostendimur, ex columnis periodias conctat.
Nactenus diximus de solae columna A
summanda; nunc consideremur seriem summan
L
datam
dani posse constare ex pluribus columnis A, B, C, ad
et quamlibet pun habere summatrices, ut A ipsas
LM N eto. B ipsas a, n, v, etc. et C ipsac
3, V, 2 eto, ipsam autem serdem summatricem
fuisset 1
duplares
periodus e
tentiae