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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 4
# Folio 10v, page id 00068217:0020
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ex qua exterpemus excerpemus
+m Yn F p Eg β.
(3p10.
et relinquendo B. in ipsius locum, similiterque exceppenius lmMp-)
relinquendo) in ejus locum inde foruutas omnes quae per
Denique etiam tobentes per abitrarias datos torlentes omne
W
aquaes et sumentes
M etc aequ.. sollemus omnes altiores ipsam continente et
deptrimemus ad inferiores. Res ergo huc redit:
Habemus Ree
m+ ns
de vel etiam per Immp. deprimi possunt ad inferiores tolleme.
adhibilas totentes omnes ipsis lum
+p
Vt5I + 10lm 1201n +30lnn6olp + 41 + 39lm +69lmn. + rV+ 2rim (+so
fiat 1a t aequ. 0. et 6mnp + s aequ.o. seu Imnp qu. 
Nequatio 1. subtatis
0
tollendis multiplicetur per 1m + 313n ecc id est per similem plane formulam
et AE tquio et aequ. 2. item aequ. 3. Quaelibet per aliam, ut ajus ope prodic
numeru
ctorum terminium num minuatur, prodibuit autem termini
Melius forte ac brevius sic: aequatio: XEX 4X7 + rX Y + (X +F,0. multiplicetur
quod
performam 1l5+lm eq ootest reductis his fomils ad potentias ipsius X  e
paneas praeterea, compendiosissime e l4 2 L.M + etc. Quod moro compendio fiet si
10
e 110
pinomnes istae formae reducantur, rad potentias ab X. et quia video hindarbitrarias
oritinis non seundum istas formas sed secondum ipsas plures ex diversis formis conjunctum
eri ad urum potentiam affisiendam, nec postea separitum iri hinc inulila est arbihrarias
formarum consoderare, quia plures unam faciunt, sufficit ergo considerari solum arbitrarias
potentiarum. Ergo pideo ne opus quidem esse his formis sufficib ergo aequationem datam
X3XqV etc. 30. multiplicari per hanc formulam: X +) X + 2X + 3X + 4X
f5X5 + 6X + 7X 9 8X + 9X + 10 Uti ope 10 arbitrariam poterunt
in aequ. 15 
X etc. tolli termini inficmi 10. ergo nihil luciaremur
ac perinde foret ac si initio aequatione x qu ete. multiplicassemus
per X. Non ergo sic. ubi Xx qXetc. aequ. 0. multiplicaverimus pet
An sic melius: sumlis aequ. 15+ m+ n + p. aequ.. et Cmnp aequ..
et 1mn + mp et aequ
et lm + ln ercaego.
8
+IX