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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 5
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idem quod
Cb, dub, . b, l
buc, duC, e- C, M b. d, c- d, C. d, A b- e, c= P, d. P, B
idemque est in altioribus, nam ratio inlucati lex intu generalis
attendenti patet. it ita generaliter fractio denominalons copositi divelli potest in fractiones derpominatous siuplius.
jam
initio
in Residuae fractionis
Quod si  post divisionem  factam, tamen
indefinita
n numeratore mansisset  veluti si foret residua foret
Numerator, e quae jam rursus tractanda; in formula
B + PX + W XX + pX X
Imnpa
divellatur in totidem partes quot sunt membra
in Numeratore, quae erunt + S
9X
 imno Inmpe
imnpe lmmpe  ubi pars quidem
3
WXX +
prima jam est resoluta nempe D jam est
resoluta
Immpus
resoluta, nam habetur: et D constans nilturbat:
lumpqus
erte catera autem partes liberari debent à
numeratore in definito. Reperimus autem
Comissis coefficientibus constantibus G, NV, G,) fore
IM
e
b
m
b+C bb
max imnp
btet d, bbtcetbe - b
np mup Imnp
His addamus adhuc unum exemplum, ut
melius appareat Lex:
+
bb + cc
brerdre + verboted -idre
p9
np4
mnpus Imnpus
Equidem diversae prodire possunt expressiones, prout
lmnpus
mutatur ordo literarum, l, m, n, p. ete. A aut con-
stantium in issis quantitatum, b, c, d, e, etc.
sed si ipsae jam a numeratorisum definitis liberatae
hpC
etc
mupus
fractiones ut
rursus resolvantur in partes denominatorem habentes
fractiones
simplicem, more jam praescripto, diversae. illae viae
tandem destent in dem, poterenud tuc hova lioremata pespealetia condi.
lmnp
Imne
m
cirip
mip lmnp
idemaliter sic consequemur
esto fractio habens potentiam ipsius X
in numeratore, et de nominatorem
compositum, velut X, resolvemus
fractionem
Imno
primus in denominatore fractiones
denominatorum simplicium modo jam
praescripto, et ita res redit
ad quatuor fractiones
vales
omissis coefficientibus constantibus.
jam X N Quoties est in numeratore
a vel ejus potentia quaedis, denominator
autem est simplex, potest res reduci ad
integros pares aut fractiones numeratoris con-
stantis simplicisque denominatoris, hoc modo.
= 1- 
XX X = b + bb
 = XX bX F bb - 6
X = X - bXX + bbX - b - b