NUQTALARNING GARMONIK TO‘RTLIGI VA UNING GEOMETRIK HAMDA ALGEBRAIK TALQINI
Keywords:
garmonik to‘rtlik, proyektiv geometriya, nisbat, ikki nisbat (cross ratio), invariant, kesma bo‘linishi, perspektiv tasvir.Abstract
Ushbu maqolada nuqtalarning garmonik to‘rtligi tushunchasi va uning geometrik hamda algebraik talqini o‘rganiladi. Natijalarda garmonik to‘rtlikning asosiy sharti — ikki nisbatning qiymati ga tengligi orqali ifodalandi. Shuningdek, bu tushuncha kesmalar bo‘linishi va proyektiv invariant sifatida tahlil qilindi. Muhokama qismida garmonik to‘rtlikning perspektiv tasvirlar va geometrik konstruksiyalardagi roli ko‘rib chiqildi. Xulosa sifatida garmonik to‘rtlik proyektiv geometriyaning asosiy invariant tushunchalaridan biri ekanligi ko‘rsatildi.
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