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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 24
# Folio 2v, page id 00068069:0004
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pag. L.
L + Px +  X + = A
X + EXX + C. X + 
quondam coefficiens nominatoris, ex. gr.
c - b, dab, e-b; semper est  productum
ex multiplcatis invicem residuis, 
rediens valorem ita
ntre
c
da b, 
a qualibet caeterarum
reliqua
jster
entium
il
in numeratore
epistents,
se b i constan
 qu
Fractione prosion
cabi
vel aciam altiorem
denominatoris nempe
nunc formulam (HX + EXX + aX + A multiptrcando se
dividendo per FG reducemus ad X + E XX + _ X. +
si opus, faciemus.
Huius divisores ponamus esse Xtb, X+C, X+d, us compludium
eosque per compendium vocemus l, m, n exc.
divello
sita fractio resoli poterit in sequentes
L. I +
itaque propo–
3X. H + V xxY, d X: N
Imn Ium lum imn.
Ajo quamvis harum reduci posse ad talem qualis est prima
L. N. igitur primum hanc resolvemus, deinde quomodo caeterae
ad hanc revocentur ostendemus.
Neglecto igitur numeratore constante qui
inn
nihil in summationibus mutat turbat, aggrediamur
De
resolutionem fractio num
resolutionem fractionis
vel generalius lmnpq...
Imn
ete
Imup
posito, ut dixi esse l = Xtb; m= xFC;
q= X + f; et ita porro. His positis
reperi, quod quidque experiando, de monstrare poterit  ne opus
n = x +d; p = X+C;
semes reper jan facile
sit i demonstrationibus non necessariis tempus terere
BL
Im c- b, l
b-c, M
Imn cab. d. b, l b- c, duc, M b- d, c- d, n
Imnp cub, da b, e. b. l b. C, d. 5, C C,  bad, cd. C. d. W b.l, cre, d.C, p
nam ex aspecta patet
et ita porro, patet enim progressus
t
Aalocaipin
ut autem aliquis si velit veritatem experiundo comprobare
in infiur qivoet
acile posse
cissimus, quia ita facile appare, nec in reliquis diff ceteris
possit dabo
oniam ib
differt nisi prolixitate.
bm-cm + el - b. jam pro
c - b, l b -c, m  2bc = bb = cC, LM
L +
ipsis l, m, substituendo  valores X+b,  X+0  fiet
bm - cm + et - bl = bx + bc - cx - cc + cx + bc - bx - bb
=(eon destructis nembris inquibus est indeterminata X) 2bC - bb - cc
ergo erit
2bc - bb -cc
bn-cm + cl - bl
2bc - bb - cC, M 2bc - bb - cc, lm
prout desiderabatur asserebatur
XX
Jam omnes fractiones mn. Imn. imn..
etc
Quarum numerator non est constans, reducemus ad frac
numeratoris constantis qualis est. Reperi igitur esse
Imn..
rursus quae sequuntur:
n
reu
pude
Im
Regulae universales