Егер екі жазықтық өзара перпендикуляр болса, онда бір жазықтықта жазықтықтардың қиылысу сызығына перпендикуляр жүргізілген түзу екінші жазықтыққа перпендикуляр болады.
Көпжақтар. Көпжақтардың қималары
Көпжақтар
1![](data:image/png;base64,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) . Көп жақ ұғымы. Екі жақты бұрыш
Призма
3. Параллелепипед. Параллелепипедтің қасиеттері
1. Ортақ түзумен шенелген екі жарты жазықтықтан жасалған бұрыш екі жақты бұрыш деп аталады. (163-сурет)
163-сурет
Жарты жазықтықтар оның қабырғалары, ал оларды шенейтін түзу екі жақты бұрыштың қыры деп аталады.
Екі жақты бұрыштың қырына перпендикуляр жазықтық оның қабырғаларын екі сәуле бойымен қияды. Осы сәулелерден пайда болған бұрыш екі жақты бұрыштың сызықтық бұрышы деп аталады.
Екі жақты бұрыштың шамасы оның сызықтық бұрышынның шамасына тең болады.
Сондықтан екі жақты бұрыштың шамасы оның сызықтық бұрышын таңдауға тәуелді емес.
Бір нүктесінен шығып, бір жазықтықта жатпайтын сәулері берілсін.
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) , , жазық бұрыштарынан құралған фигура үшжақты бұрыш деп аталып, түрінде белгіленеді. (164-сурет)
164-сурет
Бұл бұрыштар үшжақты жақтары деп, ал сәулелер оның қырлары деп аталады. Жазық бұрыштардың ортақ төбесі үшжақты бұрыштың төбесі деп аталады. Оның жақтары арқылы жасалған екіжақты бұрыштар үшжақты бұрыштың екіжақты бұрышы деп аталады.
Стереометрияда дене деп аталатын кеңістіктік фигуралар зерттеледі. Дене - бетпен шектелген кеңістіктің бөлігі болып табылады.
Көпжақ - беті ақырлы санды жазық көпбұрыштар болатын дене. Егер көпжақ әрбір жазық көпбұрыштың жазықтығының бір жағында орналасса, онда дөңес көпжақ деп аталады. Осы көпбұрыштар жазықтығы көпжақтың жағы деп, ал жақтарының қабырғасы оның қыры деп, ал төбелері - көпжақтың төбесі деп аталады.
Көпжақтың бір жағына тиісті емес екі төбесін қосатын кесіндіні көпжақтың диагоналы деп атайды.
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