TEKISLIKLARNING O‘ZARO ORIENTATSIYASINI TRIGONOMETRIK INVARIANTLAR YORDAMIDA IFODALASH
Keywords:
Kalit so‘zlar: tekislik, orientatsiya, trigonometrik invariant, normal vektor, fazoviy burchak, yangi teorema.Abstract
Annotatsiya: Ushbu maqolada fazoda ikki tekislikning o‘zaro orientatsiyasini
trigonometrik invariantlar — sinus, kosinus va tangent asosida ifodalashning
umumiylashtirilgan modeli ishlab chiqiladi. Tekisliklarning normal vektorlari orqali
hosil qilinadigan trigonometrik invariantlar burchakni aniqlashda miqyosga va
koordinata almashtirishlariga nisbatan to‘liq invariant hisoblanadi. Yangi teorema
sifatida normal vektorlar orasidagi chordal masofa va trigonometrik invariantlar
o‘rtasidagi bir-biriga tengliklar tizimi isbotlanadi. Natijalar 3D geometriya, grafik
modellashtirish va fazoviy analizda qo‘llanilishi mumkin.
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