Riman geometriyasi, elliptik geometriya \u2014 noevklid geometriyalaridan biri. Aksiomalari Evklid geometriyasining aksiomalaridan farq qiladi. Uch o’lchovli Riman geometriyasining asosiy ob’yektlari: nuqta, to’g’ri chiziq va tekisliklar; asosiy tushunchalari: mansublik tushunchasi (Masalan, to’g’ri chiziqning tekislikka mansubligi), nuqtalarning to’g’ri chiziqda joylashish tartibi va figuralarning kongruentligi. Riman geometriyasiga ko’ra, har qanday 2 nuqta orqali 1 ta to’g’ri chiziq o’tadi, bir tekislikdagi har qanday 2 to’gri chiziq 1 nuqtada kesishadi (ya’ni Riman geometriyasida «Parallel» to’g’ri chiziqlar mavjud emas), nuqtalarning to’g’ri chiziqda joylashish tartibi aylanadigan nuqtalarning joylashish tartibiga o’xshash bo’ladi. Riman tekisligida har qanday 2 to’g’ri chiziq bir nuqtada kesishadi, sferada esa to’g’ri chiziqlar rolini o’taydigan har 2 katta doira 2 nuqtada kesishadi; tekislikda yotgan to’g’ri chiziq uni 2 sohaga ajratmaydi va hokazolar. Riman geometriyasi haqidagi ma’lumot B. Riman tomonidan 1854 yil e’lon qilingan. Bu eng to’la o’rganilgan noevklid geometriyadir.<\/p>\n","protected":false},"excerpt":{"rendered":"
Riman geometriyasi, elliptik geometriya \u2014 noevklid geometriyalaridan biri. Aksiomalari Evklid geometriyasining aksiomalaridan farq qiladi. Uch o’lchovli Riman geometriyasining asosiy ob’yektlari: nuqta, to’g’ri chiziq va tekisliklar; asosiy tushunchalari: mansublik tushunchasi (Masalan, … Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":99837,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[214],"tags":[],"class_list":["post-106364","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-r-harfi","entry"],"translation":{"provider":"WPGlobus","version":"3.0.2","language":"ru","enabled_languages":["uz","kr","ru"],"languages":{"uz":{"title":true,"content":true,"excerpt":false},"kr":{"title":false,"content":false,"excerpt":false},"ru":{"title":false,"content":false,"excerpt":false}}},"_links":{"self":[{"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/posts\/106364","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/comments?post=106364"}],"version-history":[{"count":1,"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/posts\/106364\/revisions"}],"predecessor-version":[{"id":106369,"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/posts\/106364\/revisions\/106369"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/media\/99837"}],"wp:attachment":[{"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/media?parent=106364"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/categories?post=106364"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/tags?post=106364"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}