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# Title: LBr. 705 · Overbeck
# Folio 6r, page id DE-611-HS-861255:0011
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-861255&page=11
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quaeritur Sax (( tabXX + aC) sit X = Val + VanfinlXX = a L + 2a Vm et X - aab. + 6 alm. 1 4 aal in
Ergo X rabXX + ac = aall +6aa ln + aabLrac + +aa 2 ln = yy = qu (ap + fs) = aa pP + fIn + 2a fp s In
e vurians f constans
quod si duo valores ipsius yy coincidentientur; fiet fp = 2 l + ab seu p = 2 a l + ab. compendio a: f sit 7, fiot
n
ob irrationales, + 2 aabS
p= 2. 7 l + 7b. (b rationales fint pp + L In = Il + 6In + H + ac  Et pro PP ponendo valorem, filt
debot autem  major esse quam Aaa
4. 7.7. I + 4. 7.7 In + 4. 7.7b n + 7. 2 bb = l + 6ln + bl. + ac nam si aequales sint omnia quanescunt variantia
in + L In sit l 3on 1 st fiet
+4. 3 go. 3onn + a. 7. 77, 2. 1. 71n + 4. 7. 7) 31 3
a 4B. 7.77. 3n ac
+4. d 30bn +4. 7. 14.
+ 4. X71br2
l + (42 en + b) l +
Ibi si seret
(42. 42 -1) un
4141
4. 21. 41
42. 42 -1 nn + 2
at ergo radix extiui poslit debet
 arabb
)) aa1
si H minor, non possunt destrut sine imargnariis
compendio 4. 7.7-1 vocetur 41 8. 7. 2+ =  6 Et 42
et fiet 4. l + 42 lu Y 41 bl - ae =0
et ac 7rbb = 0
Reperi explicando literas E per 10v + 1 et
200 +21, non posse effici ut tollantur
c variantes. Itaque neque effici potest, ut l et n
habeantur per se invicem rationaliter integre
seu ut l et n sint simplices simul ambae, quod
desiderabatur
+2 (32-2) bn + bb-4 ae
L bn
42. 42 - 1
41. 41
42. 42 - 1
41, 41
qu ( bb esse =
= bb
ae
e
bb - 2 ae
42. 42 - 1
per n simpliciter iterie  quod scimu non puccedere
. (h +  - c) L = (Morf s. d _ + at
=(m + n Y- 1) l + m + n V- 1 n
11. 4
 + (5 +9 + - 1) 1 F_ - (P+ 9V- 1) n + ab =c
-a (p +9 L- 1) l
+ (f +91- 1) n. + ab
a -(5 +g a1) (p+ qV. 1) I + nn) +CFtgd -1) ab (1tn)
- (p + qV. 1)
+ 1ol2on + Ab
 Radix aequationis, non homoeoplota
etsi aequatio homveoptota
-20l +10n + ab
102oll + 10. 10 ln + 10, abl + 10 abn + aa
H (( 10. 10 + 20. 2 - 10 + 20  r 5L. - aa rr = 0
= 205
20. 20)
41
= un 
ae sed si lale aliquid sucocedere haberetur
42. 42 - 1
41. 41
20
10.20
Haec aequatio conferatur praepositae U + βIn + V al + d aa tit arr = - 10. 20 aad
- 10. 20nn
sin + po un
10.20
(t 10. 20 
rursus r - WY aa. 10. 10. 20.20. nn (- 10 +20) seu V aa. 10. 20 = - a ad qu 1aju (- 10 + 20)
unde datur relatia an 20:10 nam fint, 10. 10 - 2. 16. 20 + 20. 20 = - WV: 5) 10. 28 unde
to 20.30 LC+ VB - 2) 10. 20 + 4 qu (Y 15 - 2) 20. 20 = (qu (1
seu 20 +20 = + d) 1- VY: 28) : (
e sio
seu 20 = 1 -  +  a
27
D 47
e
Y:5) -2)
1. 20. 20)
+4 - 4))
V- 45)
+ +(YS 20 + Y7- 2d -
4- 4VY5+ 45d) (-add)
1020 4 1030(B : onoB. 4i d. 61
1090+ 20. 20 = - 10. 20 (3 fit
2F + 5 )C)Y- 4d). Sed rursus Cc fi 2s = iPt + sB- a)
seu 28 - -
20
14. 7. 7.
49,7.7)
14
41. 41