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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 508, page id 175905688X:0530
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5O8 LOTT ANNES TTADDENETEBEST. II.
In qua etiam dux radices aequales comprehendentur, videlicee
x ∞y, ac denuo x ∞ y. Vel si illam mulciplicassemus per Xx L
2 γ x -  p 7 ∞0, obtinuissemus duas fallas radices aequales: ut-
cunque durem haec mulciplicatio hat, (i proy ponatur ejus raloi,
habebitur
X X = 2 X N L X X IM X 3
X X = 2 X X = X X IH p X X 1
X X = 2 X X F X X In gX F∞ O.
XX = 2 X X -L X X IM Y
Sijam unumquodque horum quatuor productorum, leu, quod
eodemredie, f F, = 2, -F + (quoniam diridi potelt peF X X,
a mulciplicatores x3, pxx, qu, ee r nullam mutationem CM-
ciumc) mulciplicetur per Arichneticam Prosresionem: erit pro-
ductum hujus mulciplicacionis ∞ 0.
NaM
MuIC. PF, VL2,
H F
Per a, a + b, a L b
HC A,  a 2b, + a + 2b
Sen L 2a a, L b- 2b 30.
MuIT. L 1,
=2, + T
Per a a- b, a- 2b
tc an a + b, a- 2b
Peu 24 - 2a, F 2 b -  b ∞0.
FTuc u(que unirersaliter considerari omnes aequationes, duas
aequales radices habenees, quomodocunque ip(X pTOPONANEUE,
hoc est, sire in iis cerhini quidam deline sive non, ut de quoino-
docunque Signa F 8-= Cele habuerine. Quod manifeltum erie
consideranti nobis Colummodo rem esse cum hiscenumeris L L,
2,  c, non, autem cum mulciplicatoribus ~3, P X N, 4X, _Cr.
Similicer respectu Arichmeticae Progressionis res etiam se-
neralis manet, quandoquidem duo priores termini a, a L b, &e
a, a -b indeterminati sunt. Ouod restat, ex sola inspectione
praecedentis exempti, conferendo duas sequentes mulciplicario-
nes, perspicuum Hec.
V3 L p∞x. + qu. + Y ∞C
Xx 2X X L XX ∞O
~X =XX L XX I1 ∞3
XX-  XX L XX IMPXX
XX = =XX L XX In GX 5∞O.
XX - XX L XX IB Y
∞3 F pr + qu. + 1 ∞0
axgr L py
2D
7X)
L pXE=  PyX3 F. pyyXX
= gX3 - qyXX F qyyX
 Y XX- Er yX + ry)
MuIE. Der 4. A 8 b. AB 2V. A B 3b. A B 4b, A B 5b.