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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 111v, page id 00068200:0224
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Cle
Generalissime
a + 6. X + Dy + ZXOy aequ. 0.
fiet: 0 + do + dD dy + (q a Oy + Zx dody nqu0
Ergo dx
y
Erpo 
u d - dd = 52dd
d0 +ECy
 jam X ago A + OX+ B A
+dDy ad+ CX Dy NC
d0Oyttz D
(2, t
u
Quod si ergo Cx est aequ. 1 debet in aequ. B. valore ex posse
dus
14y2
aus
dividi nominator per numeratorem, vel numerator aequari unitati
Verum an hoc succedere possit, judicatu difficile est, quamdiu Ai
non eliminatur
Quod ut fieri possit pendraliter investigandum
est, quomodo possito
X  aequ . Y. et dOxaqu. 
possit eliminar X. Quod tradandum est paulo generatius:
D + bX + CX + aX+  + fX gX + hX er aequio
dD + b + 2CX + 3d X + er  e+ 5f x A gX F ThX er aequ. 0
t
d +0 +2C +6dXHI eX + 20X + 30gX + arh X etc aequ. 0
e
d.  +0 +0 +6d 129 CX + 60 fX + 1209X + 20hX et aqu0.
l
d
IX
saequ.
ecdc.
His aequationibus ascribatur sequens:
X + bX +2CX + 3dX + 4 ex  + 5 f X + 69X +7h X erc. aequ. 0
Et ha
Et harum aequationum quaelibet demrrta prima initio data, multiplicetur
per arbitrarias margini ascriptas ac deuique omnes terminos in quibus
habetur X praeter hunc: D X destruamus arbitratias explicando
dx
prout opus est;  habentur
exflicationes arbitrariarum
sequentes: per aequationes li sequentes:
+b +2cl +6dm +24 en; + pb aequ. 0. ad tollendum Terminum X
+C +3d l +C M +60 f R; + pC aequ. 0
+d +4 e. l+ 20f M +10gn; +p d aequ. 0
+ e +5fl +rgm +210h n; + pe aequ. 0
pr. quibus Scribamus:
ad tollendum terminum X
2 Ides  M Eh ASS une ls b. +6 dm +2+ en; + Pb ago ex 1omt60s nin pe 
bod
et ita porro ex quibus facile invenientur I. m n. p.
ei et fiet: X aequ.b +D + C dD
3
ax
Quod si altera
+ in d D +n 4d af
Ax
e
potest autem ax habem aequalis unitati seu negugectiur
Ubi nota mira, oriri posse pheoremata ex 40 quod
non aequ 2. sed forte 3. per b multipercassem, habuissem
eadem opera mutatis mutandis. sine novo calitelo valorem
ippsius X, vel ctutm ipsius X.
n
licet
did est s
cogarithmus
unius cont
stante habet
tione
ad logarichm
atterisse