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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5
# Folio 105r, page id 00068255:0209
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ablega
A 01d0(10+
b
O0ro11O1
911010
in polumnu naturalium est 16 notarum
em differentia arithmelicorum est, 5. Et periodus metumtiam
aaadaaa ab bbbbbbba aaat bbb lbbbbaaaa a a a a bbbb bbbb
0
1
0 0
C
0
C
NC
C
C
0
natuma
columna peria
series B incipit a loco seriei A, ubi ho incidit in notam similem ei unde natura et ordine
0
D
etiam
1 0
ejusdem seriei
0 0 1 1
similem ei a qua incepit B. sic B incipita prima periodi, sed A incidit in primam periodi
rieiC
0 0 
dar primum dividi potest per 31
 16C = 2 primum dividi potest per 3, id est cum C = 2 sit enim 32-2d, : 3 = 10
8
 eu ge dividi primum potest per 3, id est num  C = 3
itaque nota post 10mam incipi in per odemincipit notam periodu B
series C incipit a serie loco seriei A,  16C 1 dividitur per 3, ergo e = 1 et fit 16 - 1, : 3 = 5
eost qua
itaque nita poss quiatam  in periodo A incipit periodum Cs vel prima notam in B (vel C,
subtrahitur 2 quia it B, quia prima note t, est ida post primam
A
aagaaaaa bbbbbbbbata aaague gblbh Gbbb agaaaggatt Ht bbbb quaag qaa bbtbbult anagaaaa b. brbb 
prena
prici. A
vel 1)
 po B, 16C 4 :5, minda  pro B, 16C -4, : 5 = 12, fit enim e = 4. Ergo a nota 18. pomadA, incipit deries B
pro C, fit 16C 3, :5, minim. = 9, nam fit e - 3. Ergo a nota 10 seriei A, incipit series C
mas
pro D fit 162 -2,:5, minim. = 6 nam fit e =- 2. Ergo a notaata seriei A incipit series D
da
pro E fit 168 -1, :5 minim = 3 nam fit C=1 Ergo a notaata seriei A incipit series e
qia semiperiodus ipsius B, semper est semiperiodus ipsius A inversa; et B praeferenda est
cum sit bin ternariorum, quinarioram septenariorum etc. Hinc proctat regulam
applicare ad B sed numeros sumendo inversos  columnam inversam. o
set quia percodus ipsius B semper est inversae ipsius A contraria; h et alioqui B praeferenda
lem
est ipsi A, quia _ B est binamoum ternariam iquirariora etc. Hinc regula eadem valebit
ne aliis ut alias series derivenus ex ipsa B, si mmium eadem nota Ordine sumdur quae ante
ad incipiendam novam periodum; sed nohe ita sumtae omnes in oppositas vertantur, quod si
peota fiustra sumentur hic note plures quam seu in quinanis frustra addetur plus quam
arlimus in oppositas vertere, babit haec memodus periorum inversam
 si
mesm non est obus tota serde inventa uti
ejus notas quot periodus postint
postulat
suffinunt het
16 notur
B Ternarii