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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 26
# Folio 14v, page id 00068071:0028
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sed ipsi 11, 12, 13, etc, 30, 31, et 40, 41, etei
 130, 152, etc et similes sunt fictitii, loco
literarum a me assumti, ut melius exprimant
relationes coordinationesque quantitatum adatarum vel quaesitarum
s destructis jam in aequatione sp dicta
terminis determinantur
Destructis igitur in Aequatione supradista
Terminis, determinantur arbitrariae assumtae 30+,
35, 3634, 33, 32,31, 30; et 40, 41 42. hoc modo:
3G = +1: 194
34 = -83:194. 184
3) = - 184172+183. 173: 194. 189. 174
32 = - 194. 174. 161 +183.174. 162 +184. 172. 1631: 194. 184. 078. 164
183. 173 12
31 = - 184. 174. 169150 + 183. 174. 164. 1514,84. 172. 164. 152 + 184., 179. 161. 153
B
30 = etc
facile.
183. 173. 2. .. - 183. 174 162. - 7= 194. 184, 174. 164. 154
= 184. 179 163
= 183- 173.-. ---
Similiterque ascribi posset valor ipsius 30, et generati
satis brevis ho
fregula generalis admodum simplex valorem sequentem
ex priore derivandi, est talis valores inveniendi
et continuandi osttalis: Denominatores quidem
per se patent, qui sunt 194, 194. 184, 192. 184. 1474, etc ubi nota dextra semper est a, hoc loco 4
ubi nota dextra est , sinist sinistra vero (omissis 1, initialibus
semper occurrentibus) sunt V+a, V+ a - 1, V+ a -2 etc
(hoc loco 5+4, 5+4 - 1, 5+4- 2, etc) Quoad Numeratores
in prmo valore nempe ippus 3) (seu 35 hoc loco)
is numerator est +1, seu unitas. De caeteris ex praecedentis
Valoris Rus Numerator valoris jam inventi, velut pro,
K qui est in valore jam invento i Numeri, ut 3k
(exempli causa hoc loco 32, posito k = 2)
(hoc loco 32 posito K= 2), potest sic inveniri vator
Numerator valaris qui est in Valore sequenti ipsius Numeri
vi
3R  F 3)K- 1 (hoc loco 31) hoc modo:
ilt
in invento jam numeratore  numerus quivis 30 - - +L+ 40m + Ina - 143 (.l+ t A +F)
cujus nota sinistra est inter caeteras minima
quae vocetur h, et est semper =  ∞ +K) Z
minuatur unitate et tantundem minuatur ipsi
ad haerens nota dextra (itaque es in _ valore 32
numeratore valoris 32 ex 161, 182163, fiat 150, 151, 52,
Et quod pro venit per numerum cupis nota sinistra
sit h, dextra, vero a (hoc loco per 1ba ubi
nota sinistra est +K seu 4+ 2 et dextra est 4)
A producto auferatur aliud productum ex eodem
valoris inventi, seu ipsius yt
numeratore totoe
(qualis erat) multiplicato per numerum cujus
nota sinistra sit h- 1, dextra vero  a
hoc loco per 16 - 14 - 1 seu 153). Quodsi
contingat notam dextram. Ita tandem
a
confectus est Numetator novus valoris 3)K-
hoc loco 31) Quod si contingat notam seu id
dextram debere descendere infra o, mebrum
ubr
quod provenire deberet evanescere intelligitur, qua
2
Multae et  singulares hic progressus et
quas brevitatis causa nunc praefereo. Una tantum notata, quod memera terminus sequens
combinationes neges observari possent, sed
in numeratore termini Numeratoris habent numerum membrorum progressione Geometrica
la crescentem
194. 134, 1474164. 154, 144.
e
siplicttur
confingit
quod fiet in valore ipsias 2d deducto ex
Nempe quia  Numenitor in 31 
in isit
dis 15l + im + 152n + 153
Compendio 31= 150 l A 15, M, + 152n + 153P.
154 184.174. 164 154 fiet exinde per Regulat
Boc Atamimnt
6--14riom  San + 192 pa acr
194. 184. 174 164. 154. 144 4
pafubi evanescet 4I