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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 298r, page id 00068194:0595
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pag. 4
XX + Cx + dd aequ Bto, fuctores suit X - B et ∞ B X - (3) sit X = 9s  My + nn, :, ytp
fiet seu si redices X = K OD: 98. subistituendo periliteras siurficando 2e per  notas signifieando
radices formularum, et fiat  -  = KOD= B P8,: 84 et X - (5) = k OD - (2) 88,: Et
1e
28
4
im +mm
In +nn
es
 8
ta per
aegg. 1, 2, 3,
+
habebun
C, +
KOD- (Y) 8 = 22 fiet 8 = (2) 84 =24 - 8G, fiet
G () 2 -Y, 3- (∞) 22 + 8
p et 8. 8 (7
2 +Z. Ergo
(0D -  +7 8G fi XO= 46 91. 8 3 8 218Z.  uno 4t8 st in
1157 2mtn p.  fiet pP +E1
sn p = pp + 3
En
+ 33.4 =
+Arum
Aun
imin
+ nn
EE: 4
m
=0 se
Ergo p = 1453. B3ntu + 2mu - 22 + mAn
=40
ergo duo divisores ipsius yy ite + ry mrn + mm sunt  y + 4 55- 5 men + 2ma- 13 + mt uF
An sub issis duobus valoribus
generalibus continentur et
et t XO t L, 1FG _ B - l 9Z- E mon + emu (F G0nan trnrn. 3
duo alteri n- G - 9F. 1, N et D = =, 4+ 1
m +n
quod si sint duae radices aequales, oportet evanestere Arationalem
nec sufficit ut sit extrahibilis
5- (8) 2Q = 21 4 - 78 tunc simili
Ita puto contingere debere, quia rem generaliter quae sivimus
si pro  10D = 4+ + 8 8 adhibuissemus
instiluta investigatione debuisset irrationalis in radicibus evanescere, ut fieri
possent duae radiles quatres aequales negligendo determinata per quo multiplicantur
Notandum quicunque divisor assumatur, rem eodem redire, seu seu
non differre unam assumtionem ab alia, nisi multiplicatione
per de terminatas.
Ad rcum reddenda faciliora, pt sumper explicando. Tolli ultinus formula Arminus, et ita
pro x AX + Cx + dd potest fieri XX + Cx = quadrato Hinc si X = yy fiet
vy gytc  aequ quadrato. Ergo sed melius si fiat X = yy+ Eyp + pp + C = quadrato
as huc melius si l X- hry + eyp. 1 p, 1, y9+ 2y9+49. et fint Fhuyarhyp+hpp -4t
+ egy + 3Cg9 + eqq Khy axyru
et fit h y+ p = K gF r = _ c y+ 9 et firt hyrp = _, serk + ytqse
et
9+p = a, ytr sk - 949sC sit h h = VK + e ve et 1 =  k  in sC
ergo h = _ K - c et  = hr, H + te = et ( = sk = sc
et hip = nesk + (q sC et per = er LK = qse ut hpp = YrK = 99C LC
1n