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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 316r, page id 00068194:0631
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ac rest
hactenus autem fante est puitatem in aliam mutare, seu ipsi vig o b, exhibere aequater.
v
 Vaxumi momenti est haec reductio ad bi achylogiam, ad quam
libet operadem novam impedit ne in infon dui infine calculi 0 nam alioquim
deprimibilitas aegre agnosceretur. Cum tamen vel ex his deprimibiles
esse constet. Iuro ne id quidem necesse est id velinna in his omnibus detur
deprinu quarum
cognita, possumus ergo supponere ut quantitatem ex e arbitraria a plane
pendentem Nam postea  datae quantitates derunt in aliqua aequare
proposita cum albitraria hace comparabilis
XX bsX = fb
+las
1g
Jam:
 aME ob  a sux
nc B+ X + +4
X +2
13. 
+ 2rbs X 5+ 2r +bX + 2b3t
18
pro  er b. substituamus  c0
eorum valores ex suprioribus
et habebitur denique
C+ 2x+
a
2qu
F12. - 60b
4
Xt cok io bi oob
vit
(14
quaeliber poterit quadento  quadrntica; ac per consequens et cubica poterit, comparui,
 4a
si omnia ad finem usque calculi reducta firistent; hpbnistemus aequatones altissimas
3)
aequatio cui aliq
pi-
ac proinde poterit. C si ista quidem recta sunt omnis aequatio solidat reduce
ad planam; sicredere fas est. Ad habendum valorem ipsius  e apus est
valore ipsius n. et b. et quidem quod attinet b. ita procedemque:
e 2agH⊓ 0v b. Ergo + a co - 3 a - 2 a ob70b eque et sive
over B  4a-8aW + a sive b+ act  +a gac a a
bV + 2acd b + ar
60
v
sive b 5 4aY00- 8as +aco - aco
100
F porro n. ita habebitur, ex superioribus; nor Si + 4sa etC. prolixioru ista,
quam ut adscribi opusit, intrinm potest fingi omnia ab initio per aequationem
 fuisse divisan e ita . in ista novirim a aequaive non erit nec nos turbubis
quod ad b attrnet, nec hoc turbabit, est enim a caetris independeris.
cum a sit arbitrarur Imo plane ipsius  explicavo opus non erit si ipsam c5
non velimus esse arbitrariam, sed pro po b ponamus raqb sive
pro 60 bponamus in aeg. 2 hanc quantitatem 4 aco - 8a - 2aco b.
optime ergoita comparens: in   ama ptrb H LX = h qB. 9b  + ragbX
+b 1. 2 - kab.. 184
qu e rebqus aeso
sive G + 2tbg+ ero
+9
+2ah.
dea conferenda cum.:  16V
2
e
X sx itbxticX
h Unde msr a -g
8nib + 99 + 28+b0.  A
sive +8 ( + +b p, sn ba+t sivc G p + Suebg rb +b
ide
dfuinienus primum  ex fej: 2m - rab. 9 Ptap 2sg b. 8.
jungere al ter licebit duas aequationes A. et B. quaerendo n, primum, nempe ex aeq. A
n 1 s84 + 2+b
fiet
ex aeq. B erit np 25es b + 2ab + h. et quadrando utolique
fes. 54+ ibtb, 459 b + 859b a + 4(8b2, + aab2 r 4a b  h +g
4rg - 4bv- 491
assurgeret, ejus aqualuris
ie non . sed alia
ner: h. arut a quaeenda B
ideoque G. bro cognita puimendu est
C 57
F
reducendo. 
et ordinando: