"ᠷᠢᠮᠠᠨ ᠊ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ"-ны өөр хувилбарууд

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9-р мөр: 9-р мөр:
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ᠷᠢᠮᠠᠨ ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠷ ᠨᠢ ᠲᠣᠭᠲᠠᠮᠠᠯ ᠡᠶᠡᠷᠡᠭ ᠮᠤᠷᠤᠶ᠋ᠢᠯᠲᠠ ᠲᠠᠢ ᠭᠠᠳᠠᠷᠭᠤ ᠪᠤᠶᠤ ᠵᠤᠤᠪᠠᠩ ᠭᠠᠳᠠᠷᠭᠤ ᠳᠡᠭᠡᠷ᠎ᠡ ᠬᠡᠷᠡᠭᠵᠢᠳᠡᠭ᠃<ref>[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</ref>  
ᠷᠢᠮᠠᠨ<sup>Riemann</sup>  ‍ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠷ<sup>geometry</sup> ᠨᠢ ᠲᠣᠭᠲᠠᠮᠠᠯ ᠡᠶᠡᠷᠡᠭ ᠮᠤᠷᠤᠶ᠋ᠢᠯᠲᠠ ᠲᠠᠢ ᠭᠠᠳᠠᠷᠭᠤ ᠪᠤᠶᠤ ᠵᠤᠤᠪᠠᠩ ᠭᠠᠳᠠᠷᠭᠤ ᠳᠡᠭᠡᠷ᠎ᠡ ᠬᠡᠷᠡᠭᠵᠢᠳᠡᠭ᠃<ref>[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</ref>  


ᠤᠯᠠᠮᠵᠢᠯᠠᠯᠲᠤ ᠪᠤᠰᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ‍ᠦᠨ ᠡᠨᠡ ᠬᠡᠯᠪᠡᠷᠢ ‍ᠢᠢ ᠮᠥᠨ ᠧᠯᠯᠢᠫᠰ ‍ᠦᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠭᠡᠳᠡᠭ᠃<ref>[https://www.booksite.ru/fulltext/1/001/008/080/804.htm Н. В. Ефимов. Неевклидовы геометрии]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/03/02 </ref> ᠧᠦ᠋ᠻ᠊ᠯᠢᠳ᠋ ‍ᠦᠨ ᠪᠤᠶᠤ ᠤᠯᠠᠮᠵᠢᠯᠠᠲᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠨᠢ ᠲᠡᠭ ᠮᠤᠷᠤᠢᠢᠯᠲᠠ ᠲᠠᠢ ᠬᠠᠪᠲᠠᠭᠠᠢ ᠣᠷᠤᠨ ᠵᠠᠢ ‍ᠢᠢᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠡᠷ ᠪᠠᠢᠢᠳᠠᠭ ᠪᠣᠯ [[ᠯᠣᠪᠠᠴᠧᠹᠰᠻᠢ ᠊ᠢᠢᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ|ᠯᠣᠪᠠᠴᠧᠹᠰᠻᠢ]] ‍ᠢᠢᠨ ᠬᠢ ᠨᠢ ᠰᠥᠷᠭᠦ ᠮᠤᠷᠤᠢᠢᠯᠲᠠ ᠲᠠᠢ ᠣᠷᠤᠨ ᠵᠠᠢ ‍ᠢᠢ ᠳᠦᠷᠰᠦᠯᠡᠳᠡᠭ ᠪᠢᠯᠡ᠃  
ᠤᠯᠠᠮᠵᠢᠯᠠᠯᠲᠤ ᠪᠤᠰᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ‍ᠦᠨ ᠡᠨᠡ ᠬᠡᠯᠪᠡᠷᠢ ‍ᠢᠢ ᠮᠥᠨ ᠧᠯᠯᠢᠫᠰ ‍ᠦᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ<sup>elliptic geometry</sup> ᠭᠡᠳᠡᠭ᠃<ref>[https://www.booksite.ru/fulltext/1/001/008/080/804.htm Н. В. Ефимов. Неевклидовы геометрии]. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/03/02 </ref> ᠧᠦ᠋ᠻ᠊ᠯᠢᠳ᠋<sup>Euclid</sup> ‍ᠦᠨ ᠪᠤᠶᠤ ᠤᠯᠠᠮᠵᠢᠯᠠᠲᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠨᠢ ᠲᠡᠭ ᠮᠤᠷᠤᠢᠢᠯᠲᠠ ᠲᠠᠢ ᠬᠠᠪᠲᠠᠭᠠᠢ ᠣᠷᠤᠨ ᠵᠠᠢ ‍ᠢᠢᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠡᠷ ᠪᠠᠢᠢᠳᠠᠭ ᠪᠣᠯ [[ᠯᠣᠪᠠᠴᠧᠹᠰᠻᠢ ᠊ᠢᠢᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ|ᠯᠣᠪᠠᠴᠧᠹᠰᠻᠢ]] ‍ᠢᠢᠨ<sup>Лобачевский</sup> ᠬᠢ ᠨᠢ ᠰᠥᠷᠭᠦ ᠮᠤᠷᠤᠢᠢᠯᠲᠠ ᠲᠠᠢ ᠣᠷᠤᠨ ᠵᠠᠢ ‍ᠢᠢ ᠳᠦᠷᠰᠦᠯᠡᠳᠡᠭ ᠪᠢᠯᠡ᠃  


ᠬᠠᠷᠢᠨ ᠷᠢᠮᠠᠨ ‍ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠨᠢ ᠡᠶᠡᠷᠡᠭ ᠮᠤᠷᠤᠢᠢᠯᠲᠠᠲᠠᠢ ᠭᠦᠳᠦᠭᠦᠷ ᠣᠷᠤᠨ ᠵᠠᠢ ‍ᠢᠢᠨ ᠵᠠᠭᠪᠤᠷ ᠪᠣᠯᠤᠨ᠎ ‍ᠠ᠋᠃  
ᠬᠠᠷᠢᠨ ᠷᠢᠮᠠᠨ ‍ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠨᠢ ᠡᠶᠡᠷᠡᠭ ᠮᠤᠷᠤᠢᠢᠯᠲᠠᠲᠠᠢ ᠭᠦᠳᠦᠭᠦᠷ ᠣᠷᠤᠨ ᠵᠠᠢ ‍ᠢᠢᠨ ᠵᠠᠭᠪᠤᠷ ᠪᠣᠯᠤᠨ᠎ ‍ᠠ᠋᠃  
33-р мөр: 33-р мөр:
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ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ᠳ᠋ᠤ ᠫᠧᠷᠫᠧᠨ᠍ᠡᠳᠢᠻᠦ᠋ᠯᠠᠷ ᠬᠣᠶᠠᠷ ᠰᠢᠯᠠᠭᠤᠨ ᠬᠣᠭᠤᠷᠤᠨᠳᠤ ᠪᠠᠨ ᠣᠭᠲᠤᠯᠤᠯᠴᠠᠨ᠎ ‍ᠠ᠋᠃   
ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ᠳ᠋ᠤ ᠫᠧᠷᠫᠧᠨ᠍ᠡᠳᠢᠻᠦ᠋ᠯᠠᠷ<sup>perpendicular</sup> ᠬᠣᠶᠠᠷ ᠰᠢᠯᠠᠭᠤᠨ ᠬᠣᠭᠤᠷᠤᠨᠳᠤ ᠪᠠᠨ ᠣᠭᠲᠤᠯᠤᠯᠴᠠᠨ᠎ ‍ᠠ᠋᠃   


ᠶᠡᠷᠦ ᠨᠢ᠂ ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ‍ᠤ ᠨᠢᠭᠡ ᠲᠠᠯ ‍ᠠ᠋ ᠳᠠᠬᠢ ᠪᠦᠬᠢ ᠫᠧᠷᠫᠧᠨ᠍ᠳᠢᠻᠦ᠋ᠯᠠᠷ ‍ᠤᠳ ᠲᠡᠷᠡ ᠬᠦ ᠰᠢᠯᠠᠭᠤᠨ ‍ᠤ "ᠦᠨᠡᠮᠯᠡᠬᠦᠢ ᠲᠤᠢᠢᠯ" ᠬᠡᠮᠡᠬᠦ ᠭᠠᠭᠴᠠ ᠴᠡᠭ ᠲᠦ ᠣᠭᠲᠤᠯᠤᠯᠴᠠᠨ᠎ ‍ᠠ᠋᠃   
ᠶᠡᠷᠦ ᠨᠢ᠂ ᠲᠤᠬᠠᠢ ‍ᠢᠢᠨ ᠰᠢᠯᠠᠭᠤᠨ ‍ᠤ ᠨᠢᠭᠡ ᠲᠠᠯ ‍ᠠ᠋ ᠳᠠᠬᠢ ᠪᠦᠬᠢ ᠫᠧᠷᠫᠧᠨ᠍ᠳᠢᠻᠦ᠋ᠯᠠᠷ ‍ᠤᠳ ᠲᠡᠷᠡ ᠬᠦ ᠰᠢᠯᠠᠭᠤᠨ ‍ᠤ "ᠦᠨᠡᠮᠯᠡᠬᠦᠢ ᠲᠤᠢᠢᠯ" ᠬᠡᠮᠡᠬᠦ ᠭᠠᠭᠴᠠ ᠴᠡᠭ ᠲᠦ ᠣᠭᠲᠤᠯᠤᠯᠴᠠᠨ᠎ ‍ᠠ᠋᠃   
52-р мөр: 52-р мөр:
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ᠡᠭᠦᠨ ᠳ᠋ᠦ᠄ <br><span style="writing-mode: horizontal-tb;">L</span> ᠨᠢ ᠰᠢᠯᠠᠭᠤᠨ ‍ᠤ ᠤᠷᠲᠤ᠂ <br><span style="writing-mode: horizontal-tb;">r</span> ᠨᠢ ᠬᠡᠭᠡᠰᠦ (ᠷᠠᠳᠢᠦ᠋ᠰ)᠃  
ᠡᠭᠦᠨ ᠳ᠋ᠦ᠄ <br><span style="writing-mode: horizontal-tb;">L</span> ᠨᠢ ᠰᠢᠯᠠᠭᠤᠨ ‍ᠤ ᠤᠷᠲᠤ᠂ <br><span style="writing-mode: horizontal-tb;">r</span> ᠨᠢ ᠬᠡᠭᠡᠰᠦ (ᠷᠠᠳᠢᠦ᠋ᠰ<sup>radius</sup>)᠃  
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67-р мөр: 67-р мөр:
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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<sup>Gauss</sup>᠂ ᠪᠣᠯᠢᠶᠠᠢ<sup>Boliay</sup>᠂ 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 ᠨᠡᠩ 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 ᠨᠡᠩ ᠰᠢᠨ ᠎ᠡ ᠪᠣᠯᠤᠮᠵᠢ ᠶᠢ ᠬᠦᠮᠦᠨ ᠲᠥᠷᠥᠯᠬᠢᠲᠡᠨ  ᠦ ᠣᠶᠤᠨ ᠤᠬᠠᠭᠠᠨ  ᠳᠤ ᠨᠡᠭᠡᠭᠡᠵᠦ ᠥᠭᠴᠡᠢ᠃ <br>
ᠪᠣᠳᠠᠲᠤ ᠹᠢᠽᠢᠻ ᠣᠷᠤᠨ ᠵᠠᠢ᠂ ᠴᠠᠭ ᠬᠤᠭᠤᠴᠠᠭᠠᠨ ‍ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠴᠢᠨᠠᠷ ‍ᠤᠳ ᠨᠢ ᠧᠦ᠋ᠻ᠊ᠯᠢᠳ᠋ ‍ᠦᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠲᠦ ᠪᠢᠰᠢ ᠬᠠᠷᠢᠨ ᠷᠢᠮᠠᠨ ‍ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠲᠦ ᠬᠠᠷᠭᠠᠯᠵᠠᠳᠠᠭ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋᠃<ref>В.А.Фок. Теория пространства, времени и тяготения. ГИТТЛ. Москва 1955. с. 253  </ref>  
ᠪᠣᠳᠠᠲᠤ ᠹᠢᠽᠢᠻ<sup>physic</sup> ᠣᠷᠤᠨ ᠵᠠᠢ᠂ ᠴᠠᠭ ᠬᠤᠭᠤᠴᠠᠭᠠᠨ ‍ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠴᠢᠨᠠᠷ ‍ᠤᠳ ᠨᠢ ᠧᠦ᠋ᠻ᠊ᠯᠢᠳ᠋ ‍ᠦᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠲᠦ ᠪᠢᠰᠢ ᠬᠠᠷᠢᠨ ᠷᠢᠮᠠᠨ ‍ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠲᠦ ᠬᠠᠷᠭᠠᠯᠵᠠᠳᠠᠭ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋᠃<ref>В.А.Фок. Теория пространства, времени и тяготения. ГИТТЛ. Москва 1955. с. 253  </ref>  


ᠲᠡᠦᠬᠡᠨ ᠳᠠᠷᠠᠭᠠᠯᠠᠯ  ᠤᠨ ᠬᠤᠪᠢ  ᠳᠤ ᠷᠢᠮᠠᠨ  ᠤ ᠭᠧᠣᠮᠡᠲ᠋ᠷ ᠨᠢ ᠯᠣᠪᠠᠴᠧᠹᠰᠻᠢ ‍ᠢᠢᠨ ᠭᠧᠣᠧᠡᠲ᠋ᠧᠷ ᠡᠴᠡ ᠬᠣᠵᠢᠭᠤ᠂ 1854 ᠣᠨ  ᠳᠤ ᠭᠠᠷᠴᠤ ᠢᠷᠡᠭᠰᠡᠨ᠃
ᠲᠡᠦᠬᠡᠨ ᠳᠠᠷᠠᠭᠠᠯᠠᠯ  ᠤᠨ ᠬᠤᠪᠢ  ᠳᠤ ᠷᠢᠮᠠᠨ  ᠤ ᠭᠧᠣᠮᠡᠲ᠋ᠷ ᠨᠢ ᠯᠣᠪᠠᠴᠧᠹᠰᠻᠢ ‍ᠢᠢᠨ ᠭᠧᠣᠧᠡᠲ᠋ᠧᠷ ᠡᠴᠡ ᠬᠣᠵᠢᠭᠤ᠂ 1854 ᠣᠨ  ᠳᠤ ᠭᠠᠷᠴᠤ ᠢᠷᠡᠭᠰᠡᠨ᠃


ᠧᠦᠻ᠊ᠯᠢᠳ᠋  ᠦᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ  ᠦᠨ ᠰᠠᠭᠤᠷᠢ  ᠶᠢ ᠷᠢᠮᠠᠨ ᠪᠥᠷᠢᠨ ᠬᠢᠨᠠᠵᠤ ᠦᠵᠠᠭᠡᠳ᠂ ᠲᠡᠭᠦᠨ ᠦ ᠣᠷᠣᠨ ᠳᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠪᠠᠢᠢᠭᠤᠯᠬᠤ ᠥᠪᠡᠷ  ᠦᠨ ᠵᠠᠷᠴᠢᠮ  ᠤᠳ  ᠢ ᠰᠠᠨᠠᠯ ᠪᠣᠯᠭᠠᠵᠠᠢ᠃
ᠧᠦ᠋ᠻ᠊ᠯᠢᠳ᠋  ᠦᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ  ᠦᠨ ᠰᠠᠭᠤᠷᠢ  ᠶᠢ ᠷᠢᠮᠠᠨ ᠪᠥᠷᠢᠨ ᠬᠢᠨᠠᠵᠤ ᠦᠵᠠᠭᠡᠳ᠂ ᠲᠡᠭᠦᠨ ᠦ ᠣᠷᠣᠨ ᠳᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠪᠠᠢᠢᠭᠤᠯᠬᠤ ᠥᠪᠡᠷ  ᠦᠨ ᠵᠠᠷᠴᠢᠮ  ᠤᠳ  ᠢ ᠰᠠᠨᠠᠯ ᠪᠣᠯᠭᠠᠵᠠᠢ᠃


ᠡᠭᠦᠪᠡᠷ  ‍ᠢᠶ᠋ᠡᠨ ᠧᠦᠻ᠊ᠯᠢᠳ᠋  ᠦᠨ ᠪᠤᠰᠤ ᠭᠧᠣᠮᠧᠡᠲ᠋ᠧᠷ  ᠦᠨ ᠣᠯᠠᠨ ᠬᠡᠯᠪᠡᠷᠢ ᠪᠠᠶ᠋ᠢᠵᠤ᠂ ᠣᠭᠲᠠᠷᠭᠤᠢ ᠶᠢᠨ ᠬᠢᠵᠠᠭᠠᠷ ᠦᠭᠡᠢ ᠣᠯᠠᠨ ᠥᠭᠡᠷ ‍ᠠ᠋ ᠪᠦᠲᠦᠴᠡ ᠶᠢ ᠲᠣᠳᠣᠷᠬᠠᠶ᠋ᠢᠯᠠᠵᠤ ᠪᠣᠯᠬᠤ ᠶᠢ ᠲᠤᠩᠬᠠᠭᠯᠠᠭᠰᠠᠨ ᠪᠠᠶ᠋ᠢᠨ᠎ᠠ᠃
ᠡᠭᠦᠪᠡᠷ  ‍ᠢᠶ᠋ᠡᠨ ᠧᠦᠻ᠊ᠯᠢᠳ᠋  ᠦᠨ ᠪᠤᠰᠤ ᠭᠧᠣᠮᠧᠡᠲ᠋ᠧᠷ  ᠦᠨ ᠣᠯᠠᠨ ᠬᠡᠯᠪᠡᠷᠢ ᠪᠠᠶ᠋ᠢᠵᠤ᠂ ᠣᠭᠲᠠᠷᠭᠤᠢ ᠶᠢᠨ ᠬᠢᠵᠠᠭᠠᠷ ᠦᠭᠡᠢ ᠣᠯᠠᠨ ᠥᠭᠡᠷ ‍ᠠ᠋ ᠪᠦᠲᠦᠴᠡ ᠶᠢ ᠲᠣᠳᠣᠷᠬᠠᠶ᠋ᠢᠯᠠᠵᠤ ᠪᠣᠯᠬᠤ ᠶᠢ ᠲᠤᠩᠬᠠᠭᠯᠠᠭᠰᠠᠨ ᠪᠠᠶ᠋ᠢᠨ᠎ᠠ᠃
79-р мөр: 79-р мөр:
ᠷᠢᠮᠠᠨ ᠡᠳᠡᠭᠡᠷ ᠪᠣᠯᠤᠮᠵᠢᠲᠤ ᠬᠤᠪᠢᠯᠪᠤᠷᠢ ᠨᠤᠭᠤᠳ ᠠᠴᠠ ᠡᠩ  ᠦᠨ ᠨᠢᠭᠡᠨ ᠲᠣᠬᠢᠶᠠᠯᠳᠤᠯ ᠪᠣᠯᠬᠤ ᠲᠣᠭᠲᠠᠮᠠᠯ ᠡᠶᠡᠷᠡᠭ ᠮᠤᠷᠤᠶ᠋ᠢᠯᠲᠠ ᠲᠠᠢ ᠣᠷᠣᠨ ᠵᠠᠢ ᠶᠢ ᠳᠦᠷᠰᠦᠯᠡᠭᠰᠡᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ  ᠢ ᠲᠠᠨᠢᠯᠴᠠᠭᠤᠯᠤᠭᠰᠠᠨ ᠪᠢᠯᠡ᠃᠎<ref name=":0" />
ᠷᠢᠮᠠᠨ ᠡᠳᠡᠭᠡᠷ ᠪᠣᠯᠤᠮᠵᠢᠲᠤ ᠬᠤᠪᠢᠯᠪᠤᠷᠢ ᠨᠤᠭᠤᠳ ᠠᠴᠠ ᠡᠩ  ᠦᠨ ᠨᠢᠭᠡᠨ ᠲᠣᠬᠢᠶᠠᠯᠳᠤᠯ ᠪᠣᠯᠬᠤ ᠲᠣᠭᠲᠠᠮᠠᠯ ᠡᠶᠡᠷᠡᠭ ᠮᠤᠷᠤᠶ᠋ᠢᠯᠲᠠ ᠲᠠᠢ ᠣᠷᠣᠨ ᠵᠠᠢ ᠶᠢ ᠳᠦᠷᠰᠦᠯᠡᠭᠰᠡᠨ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ  ᠢ ᠲᠠᠨᠢᠯᠴᠠᠭᠤᠯᠤᠭᠰᠠᠨ ᠪᠢᠯᠡ᠃᠎<ref name=":0" />


[[ᠬᠠᠷᠢᠴᠠᠩᠭᠤᠢ ᠊ᠢᠢᠨ ᠶᠡᠷᠦᠩᠬᠡᠢ ᠣᠨᠤᠯ|ᠬᠠᠷᠢᠴᠠᠩᠭᠤᠢ ‍ᠢᠢᠨ ᠶᠡᠷᠦᠩᠬᠡᠢ ᠣᠨᠤᠯ]] ‍ᠢ ᠪᠠᠢᠢᠭᠤᠯᠤᠭᠰᠠᠨ ᠧᠢᠢᠨ᠍ᠱᠲ᠋ᠠᠢᠢᠨ ᠥᠪᠡᠷ ᠲᠦ ᠪᠡᠨ ᠬᠡᠷᠡᠭ ᠲᠡᠢ ᠦᠨᠡᠨ ᠵᠥᠪ ᠮᠠᠲᠾᠧᠮᠠᠲᠢᠻ ᠬᠡᠷᠡᠭᠰᠡᠯ ‍ᠢ ᠷᠢᠮᠠᠨ ‍ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠡᠴᠡ ᠣᠯᠵᠤ<ref>Max Born. Physics in My Generation (Springer, 1969), <nowiki>ISBN 0-387-90008-X</nowiki>. p. 329</ref>᠂ ᠲᠡᠭᠦᠨ ‍ᠳᠤ ᠲᠦᠰᠢᠭᠯᠡᠭᠰᠡᠨ ᠪᠢᠯᠡ᠃<br><br>
[[ᠬᠠᠷᠢᠴᠠᠩᠭᠤᠢ ᠊ᠢᠢᠨ ᠶᠡᠷᠦᠩᠬᠡᠢ ᠣᠨᠤᠯ|ᠬᠠᠷᠢᠴᠠᠩᠭᠤᠢ ‍ᠢᠢᠨ ᠶᠡᠷᠦᠩᠬᠡᠢ ᠣᠨᠤᠯ]] ‍ᠢ ᠪᠠᠢᠢᠭᠤᠯᠤᠭᠰᠠᠨ ᠧᠢᠢᠨ᠍ᠱᠲ᠋ᠠᠢᠢᠨ<sup>Einstein</sup> ᠥᠪᠡᠷ ᠲᠦ ᠪᠡᠨ ᠬᠡᠷᠡᠭ ᠲᠡᠢ ᠦᠨᠡᠨ ᠵᠥᠪ ᠮᠠᠲᠾᠧᠮᠠᠲᠢᠻ<sup>mathematic</sup> ᠬᠡᠷᠡᠭᠰᠡᠯ ‍ᠢ ᠷᠢᠮᠠᠨ ‍ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠡᠴᠡ ᠣᠯᠵᠤ<ref>Max Born. Physics in My Generation (Springer, 1969), <nowiki>ISBN 0-387-90008-X</nowiki>. p. 329</ref>᠂ ᠲᠡᠭᠦᠨ ‍ᠳᠤ ᠲᠦᠰᠢᠭᠯᠡᠭᠰᠡᠨ ᠪᠢᠯᠡ᠃<br><br>
==ᠨᠡᠷ ‍ᠡ᠋ ᠲᠣᠮᠢᠶᠠᠯᠠᠯ==
==ᠨᠡᠷ ‍ᠡ᠋ ᠲᠣᠮᠢᠶᠠᠯᠠᠯ==
ᠷᠢᠮᠠᠨ ‍ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ - Riemannian geometry - геометрия Римана
ᠷᠢᠮᠠᠨ ‍ᠤ ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ - Riemannian geometry - геометрия Римана
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