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

— (410 ) 
6 
a322 
seu u? — a' 
12 — 12(6—22). Haec est 
aequatio Ellipseos si abscissae super axe minore 
computentur. 
50. §. Coroll. 
52 
52 
Cum sit MP 
(a-CP)(a-CP), 
(42.CP 
et aCP—BC++CP—BP, a — CP—AC—CP-AP, 
52 
— 2 
erit quoque MP 
2XAPXBP. Haec aequa 
tio in proportionem resoluta dat MP : b2 
APXBP:a”. Exeadem causa véro erit NQ: b2 
AOXBO: a”. Proinde se habebit MP: NQ: 
a2 
APXBP: AQX BQ. Exaequatione u? 
= 52* 
(b2—22) (49.§.) simili modo deduci potest pro 
— 2 
portio MR: NS —DRXER: DSXES. 
Ergo quadrata ordinatarum in Ellipsi se ha 
bent uti rectangula ex segmentis illius axis cui 
hae ordinatae sunt perpendiculares. 
51. §. Coroll. 
Cum sit a—b— e?, differentia inter axes 
Ellipseos eo nimor erit, quo minor fuerit distan 
tia focorum a centro. Si foci coincidunt cum 
centro, excentricitas evanescit, e—o, et in hoc 
b2 
casu erit a — b, et p — 
a. Ellipsis erge
	        
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