бірқуысты гиперболоид деп аталады (2-сурет), ал
(6)
теңдеуі арқылы анықталған бет екіқуысты гиперболоид делінеді. (3-сурет).
(7)
теңдеуі анықтайтын бет конус деп аталады (4-сурет).
Тікбұрышты декарттық жүйеде
![](data:image/png;base64,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) (8)
теңдеуі анықтайтын бет эллипстік параболоид деп аталады (5-сурет).
Тікбұрышты декарттық жүйеде
(9)
теңдеуі анықтайтын бет гиперболалық параболоид деп аталады.
(6-сурет).
Кеңістіктегі тікбұрышты декарттық жүйеде
(10)
теңдеуі анықтайтын бет екінші ретті цилиндр деп аталады. хОу жазықтығында (10) теңдеуі анықтайтын екінші ретті сызық цилиндрдің бағыттауышысы деп аталады. Цилиндр бағыттаушысының кез келген нүктесінен осіне параллель түзу осы цилиндрдің жасаушысы деп аталады.
Егер бағыттаушысы эллипс болса,
Достарыңызбен бөлісу: |