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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 495, page id 175905688X:0517
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=517
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1
C
trat
Ce1
A e1
0e
deou
Dom
cet
DE REDUOTLONE A OLAZTONUM. 495
nalem 4 dimensionum, fractioneque carentem, 2 veroter-
mino, si ad (it, manente, ad aliam trium, es hanc ilerum, st
fieri potest, ad alias pauciorum dimensionum.
Postonam exploratum est aeguationem PEODOLIEAM.
non esse dirilibilem per aliam, duos duntaxat cerminos
habentem, inreniendus est ralor hujus aequationis
93- gyy 4sym SpP∞O.
 pY ut 49.
ubip delignat quanticarem cognitam, suis signis L vel
adfectam 2d cermini; q. tertii; r, quarti; s. quinti.
Invento aurem ralore iplusy, Poterie aequario Propo-
Cita ejusdem ope diridi in duas aequariones (CGuenTES,
quxe linsulae duas dimensiones habent, nimirum in
XX L: pN + V  pP 9. F y iM X, + E y +
eC NX f E PX V = pP. g. L y iNX, + :g-
LyD
2V = PP- 4+y 0.
V.
2V +Pp- 9 +)
00.
Ouod sivero valor ipliusy non sit aequalis alicui ex di-
viloribus ultimi cermini. (pp. + 49s= rx, nON POTC-
ric aequatio Propolca ulterius quam ad eres dimensio-
MCS FeduCI.
Exempligracia, si reducere relimus aequationem x + - 2 ∞3 -
2 X X - 2 N F 7 ∞ 0, qua per aequationem, duos solummodocer-
minoshabentem, est indirisibilis, inrenio
y3 - 47y - 45 y - sPP ∞ y3 - + 2 yyX = 16 ∞0.
+ PY + 44)
Y
(nam p ~ = 2; 9∞ = 2; r ∞ = 2; (∞ 5). quae diridi porest
Pery =- 2 ∞ 0, ita ut loco duarum aequationum habeantur hae dux
X X = F X - F T ∞ O, _E X X = F X- f X∞ O.
LV
Fodem modo sihabeatur aquatio X. 1 X X = +Z X -- 5 ∞ 0, 0b-
BIBCO