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

— ( 393 ) — 
tio dabity — +Vaxo—o, quod indicat Para 
bolam in vertice axem seçare. Pro foco F erit 
Ergo or 
—, proinde y — +Vax 
dinata in foco aequatur semiparametro (7. §.). 
Quo major tribuatur valor abscissae », eo major 
prodibit y ; si « ponatur infinite magna, a— 00, 
etiam erit y — +Voa seu infinite magna. 
14. §. Coroll. 
Si focus alicujus Parabolaçesset incognitus, 
parameter et focus poterunt determinari sequen 
ti ratione. 
Ducatur AM (Fig. 292.), et erigatur ad 
eam in puncto Mperpendiculum MR. Segmen 
tum axis inter ordinatam MP et hoc perpendi 
culum aequabitur parametro. Nam in triangulo 
AMR ex angulo recto M ad hypothenusam AR 
demissum est perpendiculum MP, proinde erit 
MP 
AP: MP— MP: PR, ergo PR— 
0 
AP 
Sed ex aequatione parabolae y 2 — ax, se 
quitur esse à = — 
„proinde erit Pli — a. Jam 
si abscindatur AF — PR punctum F erit focus. 
15. §. Problema. 
Lineam rectam ducere, quae Parabolam 
in dato puncto M (Fig. 294.) tangit. 
Solutio. Ex puncto M demittatur ad dire¬
	        
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