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

(392 ) — 
metro BP describatur circulus, cujus peripheria 
secabit perpendiculum, in vertice A ad axem 
BZ erectum, in duobus punctis R et S. Per 
haec puncta ducantur ad axem BZ parallelae 
RM et SN, quae in punctis M et N occurrent 
perpendiculo per P ad axem BZ ereoto. Pun 
cta M et N erunt in Parabola. Ex constructione 
erit nimirum AR —AB X AP; sed MP = AR, 
proinde et MP—ABXAP. Ergo M jacet in Pa 
rabola, cujus parameter aequatur ipsi AB (1o.§). 
12. §. Coroll. 
Cum sit MP — a X AP (Fig. 292.) et M'P 
axAP (10.§.), erit quoque MP: MP=AP:AP. 
In Parabola ergo quadrata ordinatarum sunt in 
ratione abscissarum. 
13. §. Coroll. 
Ex aequatione y2=ax invenitury —+Vax. 
Cuilibet nimirum abscissae » = AP duae corres 
pondent ordinatae PM— +Vax et PN—Vaa. 
In hoc altero valore signum negativum indicat 
ordinatam PN habere situm oppositum, ścilicet 
infra axem AZ. 
Si quaeratur ordinata quae competit pun 
cto determinato Parabolae, pro « in aequatione 
)— +Vax substitui debet correspondens valor 
abscissae. 
Sic pro vertice A ponatur » — o, et aequa¬
	        
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