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# Title: LBr. 705 · Overbeck
# Folio 33v, page id DE-611-HS-861255:0066
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1X aequ. 2 et 3
Hic valoribus (substitutis in aequatione r. fiet aequatio
(4) Quantinc transcribere hin necesse est 
nota in qua occurrent V
e
D
in hac destruan
V, vIZ et vV, ponendo coefficientes ipsorum s totos
ae
Ln
tuine
equales nihilo, et habebimus tres aequationes destructitias
quae si bene computavi, erunt:
, destruendo totum coefficientem ipsius V
vi
B
enn = g + ccg
bnn  cmn = 3fggt ccf +2b29
enn +2Cnp = 3ggh tcchtreus
er aequationem S inveniri potest nn = 97+ ceg,: c
1
7
. . 1-
.. . .-
M  3fgg +cGf + 2bcg∞ - bnn, : 2tn
2 3hg9 +cch +2Cg = ents: 2cn
Et quidem n et p habentur valore rationali, sola litera
Itaque
assumtis
seu quae inpersunt
n valore irrationali, praeterea literae super nu
nempe f, g, h, b, ce C nont eotee possunt (assumi pro
arbitro (ut calcutus fiat quam cop commoiissimus.
ccertis tamen grationibus
Equigitur compendii causa quasdam ex ipsis, veluti
b et e posui aequales nihilo. Assumsi etiam f=h, et m= P
et g= a et n = 2a et per aequ. 5 eut cl paac = a cca
seu cc - quc + 4aa = +aa- aa seu C = ea, 2 + 13V
Et quia pohitis b et e = 0, ex aeq. 6 47. fiet M 3aatee = F
vel n = 8
+ 10 + A 1Z
8+413
∞
54=
AaC
(2=
4+ 3
itaque tandem semper majoris facilitatis lausa
et f = 4 +(3 = k
Pe
2
Et sae fuit calcullus tibi poptitas homnim
sed haec apparens falilitas non successit.
tandem quae unica
quia ita in valoribus x et y evanuit  ver etiam Z. Quia
o post v sublatam supererata
ita evinut ut U fieret quantas huc constans.
in assundis. Et primum
itaque nune
id agitur, ut nonnihil mutetur hypothesis. uthcebit m et p, item
es
fet h reddere in aequales licet sint m: f maneat = p: h.
sedrescio an hoc sufficiat eaq evitandam potationem
-
perb. gr. faciendo M = E+ 3
Et fieiet Y- ( t (3)Z
F=R+3 p =-
+ 744 ut et 4
∞ (2+ 3)
tZ
h=
(+ 213) Z +2D +a413
0 (2t 13,
ud
am