Теорема 2 Егер гиперболаның кез келген М нүктесінен оның екі фокусының біреуіне дейінгі қашақтығы болып, осы фокус жағындағы директрисаға дейінгі қашықтығы болса, онда гиперболаның эксцентриситетіне тең тұрақты шама болады: .
Парабола: Фокус деп аталатын, белгіленіп алынған нүктесі мен директриса деп аталатын түзуіне дейінгі қашықтықтары өзара тең болатын нүктелердің геометриялық орны парабола деп аталады (5-сурет).
![](data:image/png;base64,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)
5-сурет
Параболаның директрисасынан фокусына дейінгі қашықтығы оның параметрі деп аталады.
Тікбұрышты декарттық жүйенің абсцисса өсі директрисаға перпендикуляр болып параболаның фокусы арқылы, ал ордината өсі директриса мен фокусты жалғастыратын кесіндінің орта нүктесі арқылы өтсін.
Осылай құралған декарттық жүйедегі параболаның теңдеуі: . Бұл теңдеу де екінші дәрежелі. Сондықтан, парабола екінші ретті сызық.
Достарыңызбен бөлісу: |