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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 406r, page id 00068196:0807
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=807
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# Lines: 35 recognised, mean confidence 0.85
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si duae sint series una he arithmetica altera harmonica
 simul incipientes, ita ut cum unius terminus est nihilum alterius
sit infinitum erunt
reperiri potest Arithmetica
tionales sit 1. m.n
Arithmetica esse
seu esse
bb:x
Data qualibet progressione Harmonica.
cujus termini Hamionicis recipiore propor
p.
ifenta inventa et si
bb: 4+a bb: x + 2a
m
bc1 et a = 1 X = 2
2
X
lm: El - m pountur
X+ a X+2a etc
Eugo  = b: l et bm: l tam = b
seu a = - b m + bl,: ml H
seu a:b- m
=16: 1: 2 pursu 1b = s : s + (1) L seu ()= 1b = b: 1:  et H1): 1b = 1 -    L
scilicet L en lme: l- m est quantitas constans seriei Harmonicae, seu = a si b= 1
 
3
videndum an ex hac data inveniri possit serici lex ad arichmeticam
nempe
1- seu rilatio inter x et al ex data a.
m = l. 1+ la seu m - 1; a+ 1: l et n = 1: a + r: m n = 1: a + a + C:  seu n = 1: 24+ 1.
lm
nempe quia
demper  ce et  pB. 1 NB
emper procedi e A. M. .
st t