Full text: Appeltauer, Ignatius: Elementorum matheseos purae pars prima continens algebram

252 — 
411. §. Aequatio completa «2 +Px-+Q—0 
in puram convertitur, si cognitae « loco substi 
tuatur y —  P. 
P, et erit: 
Ponatur enim x=y 
Pa 
y2— Pu 
Jam si termini in utra 
Qque parte signorum aequa 
p. 
Py 
Pr — 
litatis addantur, prodibit: 
)— 
— 
1p 
e 4 Pr+O-ye 
O. Guia vero pri 
4 
ma pars hujus aequationis nihilo aequalis es 
erit quoque altera pars y2 — — Pa + Q.. 
hac aequatione pura secundi gradus invenitur : 
P 
et y+VP2. 
- Q). 
Jam si iste valor pro y in x — y — — P substi. 
P+V(P2— Q). 
tuatur prodibit : x— 
2 
412. §. Incognita x ex aequatione a2+ 
Pr+Q—o eruitur etiam hoc modo : Transfera 
tur terminus cognitus O in secundam partem ae 
quationis, a2 + Px 
Q. 
Nunc, quia in prima parte istius aequatio
	        
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