Сфералық координат системасында қатынас мынадай түрде болады:
Екінші ретті беттер
Анықтама. Екінші ретті беттер – бұл теңдеулері тік бұрышты координат системасында екінші ретті теңдеулер болатын беттер.
Цилиндрлі беттер
Анықтама. Цилиндрлік беттер деп қандай да бір анықталған түзуге параллель болатын сызықтардан пайда болған беттерді айтады.
Теңдеуінде құраушысы z болмайтын, яғни бағыттаушылары Оz осіне параллельи беттерді қарастырайық.Тип линии на плоскости ХOY жазықтығындағы сызықтың типі (бұл сызық беттің бағыттаушысы деп аталады) цилиндрлік беттің ситпатын анықтайды. Бағыттаушысының теңдеуіне байланысты бірнеше дербес жағдайларды қарастырайық.
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) - эллипстік цилиндр.
2) - гиперболалық цилиндр.
x2 = 2py – параболалық цилиндр.
Достарыңызбен бөлісу: |