"ᠷᠢᠮᠠᠨ ᠊ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ"-ны өөр хувилбарууд

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==ᠠᠴᠢ ᠬᠣᠯᠪᠤᠭᠳᠠᠯ==
==ᠠᠴᠢ ᠬᠣᠯᠪᠤᠭᠳᠠᠯ==
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|Text=<b>1</b>. ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ‍ᠳᠤ ᠦᠯᠦ ᠬᠠᠮᠢᠶᠠᠷᠠᠬᠤ ᠴᠡᠭ ‍ᠢ ᠳᠠᠭᠠᠷᠢᠬᠤ ᠨᠢᠭᠡ ᠯᠡ ᠰᠢᠯᠠᠭᠤᠨ ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ᠳ᠋ᠤ ᠫᠠᠷᠠᠯᠯᠧᠯ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋᠃ (ᠧᠦ᠋ᠻ᠊ᠯᠢᠳ᠋ ‍ᠦᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ) <br><b>2</b>. 1. ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ‍ᠳᠤ ᠦᠯᠦ ᠬᠠᠮᠢᠶᠠᠷᠠᠬᠤ ᠴᠡᠭ ‍ᠢ ᠳᠠᠭᠠᠷᠢᠬᠤ ᢩᠪᠥᠭᠡᠳ ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ᠳ᠋ᠤ ᠫᠠᠷᠠᠯᠯᠧᠯ ᠣᠷᠤᠰᠢᠬᠤ ᠬᠢᠵᠠᠭᠠᠷ ᠦᠭᠡᠢ ᠣᠯᠠᠨ ᠰᠢᠯᠠᠭᠤᠨ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋᠃  (ᠷᠢᠮᠠᠨ ‍ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ) <br><b>3</b>. ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ‍ᠳᠤ ᠦᠯᠦ ᠬᠠᠮᠢᠶᠠᠷᠠᠬᠤ ᠴᠡᠭ ‍ᠢ ᠳᠠᠭᠠᠷᠢᠬᠤ ᠬᠣᠶᠠᠷ ᠰᠢᠯᠠᠭᠤᠨ ‍ᠤ ᠠᠯᠢ ᠨᠢ ᠴᠤ ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ᠳ᠋ᠤ ᠣᠭᠲᠤᠯᠤᠯᠴᠠᠬᠤ ᠦᠭᠡᠢ᠃ (ᠯᠣᠪᠠᠴᠧᠹᠰᠻᠢ ‍ᠢᠢᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ)
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ᠷᠢᠮᠠᠨ ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠷ ᠧᠦ᠋ᠻ᠊ᠯᠢᠳ᠋᠂ ᠭᠠᠦ᠋ᠰᠰ᠂ ᠪᠣᠯᠢᠶᠠᠢ᠂ ᠯᠣᠪᠠᠴᠧᠹᠰᠻᠢ ᠨᠠᠷ ‍ᠤᠨ ᠣᠨᠣᠯ  ᠢ ᠪᠦᠭᠦᠳᠡ ᠶᠢ ᠨᠢᠭᠡ ᠳᠡᠭᠡᠪᠦᠷ ᠳᠣᠣᠷ᠎ᠠ ᠣᠷᠣᠭᠤᠯᠵᠤ ᠥᠭᠭᠦᠭᠰᠡᠨ ᠪᠠᠶ᠋ᠢᠨ᠎ᠠ᠃ <br>
ᠷᠢᠮᠠᠨ ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠷ ᠧᠦ᠋ᠻ᠊ᠯᠢᠳ᠋᠂ ᠭᠠᠦ᠋ᠰᠰ᠂ ᠪᠣᠯᠢᠶᠠᠢ᠂ ᠯᠣᠪᠠᠴᠧᠹᠰᠻᠢ ᠨᠠᠷ ‍ᠤᠨ ᠣᠨᠣᠯ  ᠢ ᠪᠦᠭᠦᠳᠡ ᠶᠢ ᠨᠢᠭᠡ ᠳᠡᠭᠡᠪᠦᠷ ᠳᠣᠣᠷ᠎ᠠ ᠣᠷᠣᠭᠤᠯᠵᠤ ᠥᠭᠭᠦᠭᠰᠡᠨ ᠪᠠᠶ᠋ᠢᠨ᠎ᠠ᠃ <br>
ᠲᠡᠭᠦᠨᠴᠢᠯᠡᠨ᠂ ᠲᠡᠳᠡᠭᠡᠷ  ᠢ ᠦᠯᠡᠮᠵᠢ ᠥᠷᠭᠡᠳᠬᠡᠵᠦ᠂ ᠡᠮᠦᠨ᠎ᠡ ᠨᠢ ᠬᠡᠨ  ᠦ ᠴᠤ ᠲᠥᠰᠦᠭᠡᠯᠡᠵᠦ ᠪᠠᠶ᠋ᠢᠭᠠᠳᠦᠢ ᠴᠣ ᠰᠢᠨ ᠎ᠡ ᠪᠣᠯᠤᠮᠵᠢ ᠶᠢ ᠬᠦᠮᠦᠨ ᠲᠥᠷᠥᠯᠬᠢᠲᠡᠨ  ᠦ ᠣᠶᠤᠨ ᠤᠬᠠᠭᠠᠨ  ᠳᠤ ᠨᠡᠭᠡᠭᠡᠵᠦ ᠥᠭᠴᠡᠢ᠃ <br>
ᠲᠡᠭᠦᠨᠴᠢᠯᠡᠨ᠂ ᠲᠡᠳᠡᠭᠡᠷ  ᠢ ᠦᠯᠡᠮᠵᠢ ᠥᠷᠭᠡᠳᠬᠡᠵᠦ᠂ ᠡᠮᠦᠨ᠎ᠡ ᠨᠢ ᠬᠡᠨ  ᠦ ᠴᠤ ᠲᠥᠰᠦᠭᠡᠯᠡᠵᠦ ᠪᠠᠶ᠋ᠢᠭᠠᠳᠦᠢ ᠴᠣ ᠰᠢᠨ ᠎ᠡ ᠪᠣᠯᠤᠮᠵᠢ ᠶᠢ ᠬᠦᠮᠦᠨ ᠲᠥᠷᠥᠯᠬᠢᠲᠡᠨ  ᠦ ᠣᠶᠤᠨ ᠤᠬᠠᠭᠠᠨ  ᠳᠤ ᠨᠡᠭᠡᠭᠡᠵᠦ ᠥᠭᠴᠡᠢ᠃ <br>

16:19, 28 Хоёрдугаар сар 2021-ий байдлаарх засвар

ᠷᠢᠮᠠᠨ ‍ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ

ᠷᠢᠮᠠᠨ ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠷ ᠨᠢ ᠲᠣᠭᠲᠠᠮᠠᠯ ᠡᠶᠡᠷᠡᠭ ᠮᠤᠷᠤᠶᠢᠯᠲᠠ ᠲᠠᠢ ᠭᠠᠳᠠᠷᠭᠤ ᠪᠤᠶᠤ ᠪᠥᠮᠪᠥᠷᠴᠡᠭ ᠭᠠᠳᠠᠷᠭᠤ ᠳᠡᠭᠡᠷ᠎ᠡ ᠬᠡᠷᠡᠭᠵᠢᠳᠡᠭ᠃[1]

ᠠᠻᠰᠢᠣᠮ

ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ᠲᠠᠢ ᠨᠢᠭᠡ ᠬᠠᠪᠲᠠᠭᠠᠢ ᠳ᠋ᠤ ᠣᠷᠣᠰᠢᠵᠤ ᠪᠠᠢᠢᠭ᠎ ‍ᠠ᠋ ᠰᠢᠯᠠᠭᠤᠨ ᠲᠤᠰ ᠪᠦᠷᠢ ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ᠲᠠᠢ ᠣᠭᠲᠤᠯᠤᠯᠴᠠᠨ᠎ ‍ᠠ᠋᠃ [2]

ᠠᠴᠢ ᠬᠣᠯᠪᠤᠭᠳᠠᠯ


1. ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ‍ᠳᠤ ᠦᠯᠦ ᠬᠠᠮᠢᠶᠠᠷᠠᠬᠤ ᠴᠡᠭ ‍ᠢ ᠳᠠᠭᠠᠷᠢᠬᠤ ᠨᠢᠭᠡ ᠯᠡ ᠰᠢᠯᠠᠭᠤᠨ ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ᠳ᠋ᠤ ᠫᠠᠷᠠᠯᠯᠧᠯ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋᠃ (ᠧᠦ᠋ᠻ᠊ᠯᠢᠳ᠋ ‍ᠦᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ)
2. 1. ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ‍ᠳᠤ ᠦᠯᠦ ᠬᠠᠮᠢᠶᠠᠷᠠᠬᠤ ᠴᠡᠭ ‍ᠢ ᠳᠠᠭᠠᠷᠢᠬᠤ ᢩᠪᠥᠭᠡᠳ ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ᠳ᠋ᠤ ᠫᠠᠷᠠᠯᠯᠧᠯ ᠣᠷᠤᠰᠢᠬᠤ ᠬᠢᠵᠠᠭᠠᠷ ᠦᠭᠡᠢ ᠣᠯᠠᠨ ᠰᠢᠯᠠᠭᠤᠨ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋᠃ (ᠷᠢᠮᠠᠨ ‍ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ)
3. ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ‍ᠳᠤ ᠦᠯᠦ ᠬᠠᠮᠢᠶᠠᠷᠠᠬᠤ ᠴᠡᠭ ‍ᠢ ᠳᠠᠭᠠᠷᠢᠬᠤ ᠬᠣᠶᠠᠷ ᠰᠢᠯᠠᠭᠤᠨ ‍ᠤ ᠠᠯᠢ ᠨᠢ ᠴᠤ ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ᠳ᠋ᠤ ᠣᠭᠲᠤᠯᠤᠯᠴᠠᠬᠤ ᠦᠭᠡᠢ᠃ (ᠯᠣᠪᠠᠴᠧᠹᠰᠻᠢ ‍ᠢᠢᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ)


ᠷᠢᠮᠠᠨ ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠷ ᠧᠦ᠋ᠻ᠊ᠯᠢᠳ᠋᠂ ᠭᠠᠦ᠋ᠰᠰ᠂ ᠪᠣᠯᠢᠶᠠᠢ᠂ ᠯᠣᠪᠠᠴᠧᠹᠰᠻᠢ ᠨᠠᠷ ‍ᠤᠨ ᠣᠨᠣᠯ  ᠢ ᠪᠦᠭᠦᠳᠡ ᠶᠢ ᠨᠢᠭᠡ ᠳᠡᠭᠡᠪᠦᠷ ᠳᠣᠣᠷ᠎ᠠ ᠣᠷᠣᠭᠤᠯᠵᠤ ᠥᠭᠭᠦᠭᠰᠡᠨ ᠪᠠᠶ᠋ᠢᠨ᠎ᠠ᠃
ᠲᠡᠭᠦᠨᠴᠢᠯᠡᠨ᠂ ᠲᠡᠳᠡᠭᠡᠷ  ᠢ ᠦᠯᠡᠮᠵᠢ ᠥᠷᠭᠡᠳᠬᠡᠵᠦ᠂ ᠡᠮᠦᠨ᠎ᠡ ᠨᠢ ᠬᠡᠨ  ᠦ ᠴᠤ ᠲᠥᠰᠦᠭᠡᠯᠡᠵᠦ ᠪᠠᠶ᠋ᠢᠭᠠᠳᠦᠢ ᠴᠣ ᠰᠢᠨ ᠎ᠡ ᠪᠣᠯᠤᠮᠵᠢ ᠶᠢ ᠬᠦᠮᠦᠨ ᠲᠥᠷᠥᠯᠬᠢᠲᠡᠨ  ᠦ ᠣᠶᠤᠨ ᠤᠬᠠᠭᠠᠨ  ᠳᠤ ᠨᠡᠭᠡᠭᠡᠵᠦ ᠥᠭᠴᠡᠢ᠃

ᠨᠡᠷ ‍ᠡ᠋ ᠲᠣᠮᠢᠶᠠᠯᠠᠯ



ᠡᠬᠢ ᠰᠤᠷᠪᠤᠯᠵᠢ

  1. https://science.wikia.org/ru/wiki/%D0%93%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F_%D0%A0%D0%B8%D0%BC%D0%B0%D0%BD%D0%B0 Наука. Геометрия Римана. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/02/28
  2. https://bigenc.ru/mathematics/text/2652171 Н. В. Ефимов. Неевклидовы геометрии. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/02/23