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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 435v, page id 00068196:0866
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Et videudum primum an res procedat, assumendo
P. esse 2. _ deinde si non procedit assumenda paltior.
et vero dubitari videtur non semper debere, p. esse 2. ut
sciliaet relatio quaesita aliquando altius assurgat, praeseu
tim cum data issurgi ultra
undeo autem inventionem re replicatae relation
restrictioris revera esse inventionem quantitatia
eodem modo se habentis ad quas libet, sed non es
semper
communis mothodus cuilibet casui feriei ipsius
generalis. Caeterum hoc strictior relatio interdum ex ipsa serie
in certo exemplo data emi pesse videatur. videmnius sit tale
intus quadrali inseripti St. oct l. ctarguli 12= 12. 1b gult D2. Sr
3n2guli 12- 124 v2 + F2
C: 2 2
C:32
E
ela 1b sit n ft B. H
C: 2n. +2 + B: n = 4
CBE C: 2B+ B: n = 14 - B: n
B. 16
nem alia scheda sum proseentus. Simulus inveni eam hoc
loco haberi non posse
nam si tollerentur duae diretur
relatu aliqua inter _. b et C, sine nautunc tollendo C
ex relatione jam habita inter b, c n:; habebitur relatio inter
b et n:   sed relatio inter numerum progressionis
geometricae binaris, et inter indefintam istam. Si 
2= 12+52+F2=rVerc nisi transcendens haberi non pt 
Et hinc eliam Methodus habetur habendi relationem
inter numerum termini, & numerum ordina
lem
quando s scilicet nova relatio inter duos numeros
terminos proximos oblineri potest
emper relata in aequad infinita inveniri pt relavemd exprimens
inter A et B. it ea Talis B A A= D + B + c. 2C + 123D etc.
t A+ 124+, 2. 3 A+ tL. 3. FR etc. + 04 0+ ∞ 1  RF X+ O1R+ 01. o2B et
a AB ABn + 10A 10R cuc AB = 1=B, , ∞ eu : 10+20A+ 2op ou
et pro A substituendo valorem ex celae inder A, B, C. habebitur recatio inter B et C quoe
debet esse similis priori inder A et B seu haberms duasidemticas inter se aquivatentes
sed non semper ioo statim appacet aequivatentra, nisi collendo unam ateram ope
unigs, debent evane cete aubae lifers. So o