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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 5
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hujus Analyseos
Verum haec obiter dicta sunt ut prastantia in u
usus intelligau melius intelligatur. Fractio
quaecunque rationalis quoad indefinitam, potest facta
concipi hujus formae; posito F esse numerum intigrum rationalem
d + BX + Z XX +  X + ete
X + E X +  X  = X + ete.
Hinc primum detrahantur integra pura, ut
 X, X, etc. quantum fieri potest, quod
quo facto habebitur et quotiens et isi ubi integer et
fit dividendo Numaeratorem per denominatorem
altiou
pando hic non. est ma
un si ponamus Denominatorem esse formulam
at residua fractio,
ubi
quae nullas habeat radices aequales, dico quod fractionem quae
partes tot quot radices, quarum quaelibet fractionum quaelibet
A, ita ut A et B
X + B
sint quantitates constantes. Atque adeo si
detur figura, cujus abscissa existente X, ordinata
sit aequalis dictae fractioni rationali, ea erit
sum s Figurae quadratura habebitur per
Quadraturam Hyperbolae vel circuli, vel alias
ser Logarithmos veros vel imaginari
Logarithmi autem veri pende coincidunt cam
Quadratura Hyperbaae, Logaritumi imaginarii
primi gradus coincidunt cum quadratura circuli.
Sed quia dantur Logarithmi Emagine
fatiden
graduum altiorum, hinc etiam certi dantur quadraturarum
Gradus a quadraturis circuli et, Hyper bolae independentes,
atque ita magna quaestio decisa est, quae hactenus
in Analysi ne satium facessivit
Ponamus Denominatoris radices
X+ F
esse X+b, x+c, Xtd, xte, iete; totidem
quot in  t sunt unitates; quas per radices per
compendium vocabimus l, m, n, p, 9, etc. pates
et
idem fore quod
M
 x r ete
.Generali autem
Imnpq...
regula pulchre procedente iad gradum
quantoumque reperi, fore (exempli gratia)
Numeratore, equae jam rursus tractanda; An formula
superest resolvi posse in divelli posse in tot fractiones
sit hujus formae
=cum radices denominatoris
sunt reales; vel peroncedentes
i logarithmos imitatos,
imaginarios, cum quaedam
radices sunt tates maginar.
 ut in Schediasmate
maji suserioris
specimine dato
istendimus.