NUQTALARNING GARMONIK TO‘RTLIGI VA UNING GEOMETRIK HAMDA ALGEBRAIK TALQINI

Mualliflar

  • Orifjonova Shahnoza Ibrohim qizi Matematika yoʻnalishi 1-kurs talabasi Muallif
  • Maxmudova Dilnoza Xaytmirzaevna Ilmiy maslahatchi: Namangan davlat universiteti O’zbekiston Muallif

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garmonik to‘rtlik, proyektiv geometriya, nisbat, ikki nisbat (cross ratio), invariant, kesma bo‘linishi, perspektiv tasvir.

Abstrak

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.

Iqtiboslar

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Abdulhamidova, M., Maxmudova, D. Proyektiv geometriyaning asosiy faktlari. (2026). Zamonaviy taraqqiyot va fan: 21-asr yondashuvlari, 6(1), 282-293. https://journalss.org/index.php/zam/article/view/25424

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Nashr qilingan

2026-05-07

Iqtibos keltirish tartibi

Orifjonova, S., & Maxmudova, D. (2026). NUQTALARNING GARMONIK TO‘RTLIGI VA UNING GEOMETRIK HAMDA ALGEBRAIK TALQINI. Zamonaviy Dunyoda Ilm-Fan Va Texnologiya, 5(13), 136-142. https://www.in-academy.uz/index.php/ZDIFT/article/view/40170
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