{"id":2785,"date":"2023-02-09T04:43:00","date_gmt":"2023-02-08T20:43:00","guid":{"rendered":"https:\/\/wordpress.cine.idv.tw\/?p=2785"},"modified":"2023-02-09T10:38:16","modified_gmt":"2023-02-09T02:38:16","slug":"5-postulates-and-common-notions-in-euclids-elements","status":"publish","type":"post","link":"https:\/\/wordpress.cine.idv.tw\/index.php\/2023\/02\/09\/5-postulates-and-common-notions-in-euclids-elements\/","title":{"rendered":"\u6b50\u5e7e\u91cc\u5f97\u300a\u5e7e\u4f55\u539f\u672c\u300b\u4e2d\u7684\u4e94\u5927\u516c\u7406\u8207\u5171\u6709\u6982\u5ff5"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u6700\u8fd1\u770b Lu \u5bf6\u8c9d\u5b78\u5e7e\u4f55\u76f8\u95dc\u7684\u6982\u5ff5\uff0c\u53ef\u8aaa\u662f\u5b78\u5f97\u5982\u706b\u5982\u837c\uff0c\u81ea\u5df1\u4e5f\u7a81\u7136\u60f3\u8d77\u4ee5\u524d\u8001\u5e2b\u6559\u904e\u300a\u5e7e\u4f55\u539f\u672c\u300b\u4e2d\u6709\u4e94\u5927\u516c\u7406\uff0c\u4f46\u662f\u73fe\u5728\u537b\u600e\u9ebc\u4e5f\u60f3\u4e0d\u8d77\u4f86\uff0c\u67d0\u500b\u665a\u4e0a\u5077\u9592\u53bb\u88dc\u8166\u4e86\u4e00\u4e0b\uff0c\u5728\u6b64\u505a\u500b\u7d00\u9304\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u6b50\u6c0f\u5e73\u9762\u5e7e\u4f55\u4e94\u5927\u300c\u516c\u7406\u300d<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5f9e\u4efb\u610f\u4e00\u9ede\u5230\u53e6\u4e00\u500b\u4efb\u610f\u4e00\u9ede\uff0c\u53ef\u4ee5\u756b\u4e00\u689d\u76f4\u7dda\u3002<\/li>\n\n\n\n<li>\u4e00\u689d\u6709\u9650\u9577\u5ea6\u7684\u76f4\u7dda\uff0c\u53ef\u4ee5\u6301\u7e8c\u5730\u5ef6\u9577\u3002<\/li>\n\n\n\n<li>\u4ee5\u4efb\u610f\u4e00\u9ede\u70ba\u5713\u5fc3\uff0c\u53ca\u4efb\u610f\u4e00\u500b\u7d66\u5b9a\u8ddd\u96e2\uff0c\u53ef\u4ee5\u756b\u4e00\u500b\u5713\u3002<\/li>\n\n\n\n<li>\u51e1\u76f4\u89d2\u7686\u76f8\u7b49\u3002<\/li>\n\n\n\n<li>\u5982\u679c\u6709\u4e00\u689d\u76f4\u7dda\u8207\u53e6\u5169\u689d\u76f4\u7dda\u76f8\u4ea4\uff0c\u82e5\u6709\u4e00\u5074\u7684\u5169\u500b\u5167\u89d2\u548c\u5c0f\u65bc\u5169\u500b\u76f4\u89d2\u7684\u548c\uff0c\u5247\u9019\u5169\u689d\u76f4\u7dda\u6301\u7e8c\u4e0d\u65b7\u5730\u5ef6\u9577\u4e4b\u5f8c\uff0c\u6703\u5728\u5167\u89d2\u548c\u5c0f\u65bc\u5169\u500b\u76f4\u89d2\u548c\u7684\u90a3\u4e00\u5074\u76f8\u4ea4\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u6211\u7684\u5370\u8c61\u4e2d\u4e0a\u9762\u4e94\u500b\u662f\u88ab\u8001\u5e2b\u7a31\u4f5c<strong>\u300c\u4e94\u5927\u516c\u7406\u300d<\/strong>\uff0c\u4f46\u662f\u53bb\u770b\u4e00\u4e9b\u66f8\u88e1\u9762\u6703\u7528<strong>\u300c\u8a2d\u6e96\u300d<\/strong>\u3001<strong>\u300c\u516c\u8a2d\u300d<\/strong>\u9019\u5169\u500b\u8a5e\uff0c\u5b83\u7684\u82f1\u6587\u540d\u8a5e\u662f <strong>postulate<\/strong> \u3001 <strong>axiom<\/strong> \uff0c\u6240\u4ee5\u6703\u6709\u4e0d\u540c\u7684\u4e2d\u6587\u540d\u8a5e\u4e5f\u4e0d\u5947\u602a\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u6b50\u6c0f\u5e73\u9762\u5e7e\u4f55\u4e94\u5927\u300c\u5171\u6709\u6982\u5ff5\u300d<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7b49\u65bc\u540c\u91cf\u7684\u91cf\uff0c\u5f7c\u6b64\u76f8\u7b49\u3002\n<ul class=\"wp-block-list\">\n<li>\u8207\u540c\u4e00\u4e8b\u7269\u76f8\u7b49\u7684\u4e8b\u7269\uff0c\u5f7c\u6b64\u76f8\u7b49\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u7b49\u91cf\u5bb6\u7b49\u91cf\uff0c\u5176\u548c\u76f8\u7b49\u3002\n<ul class=\"wp-block-list\">\n<li>\u76f8\u7b49\u7684\u4e8b\u7269\u52a0\u4e0a\u76f8\u7b49\u7684\u4e8b\u7269\uff0c\u5f7c\u6b64\u4ecd\u7136\u76f8\u7b49\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u7b49\u91cf\u6e1b\u7b49\u91cf\uff0c\u5176\u5dee\u76f8\u7b49\u3002\n<ul class=\"wp-block-list\">\n<li>\u76f8\u7b49\u7684\u4e8b\u7269\u6e1b\u53bb\u76f8\u7b49\u7684\u4e8b\u7269\uff0c\u5f7c\u6b64\u4ecd\u7136\u76f8\u7b49\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u80fd\u91cd\u5408\u7684\u7269\uff0c\u5f7c\u6b64\u76f8\u7b49\u3002\n<ul class=\"wp-block-list\">\n<li>\u4e00\u500b\u4e8b\u7269\u80fd\u8207\u53e6\u4e00\u500b\u4e8b\u7269\uff0c\u5247\u5b83\u5011\u5f7c\u6b64\u76f8\u7b49\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u5168\u9ad4\u5927\u65bc\u90e8\u5206\u3002\n<ul class=\"wp-block-list\">\n<li>\u6574\u9ad4\u5927\u65bc\u5c40\u90e8\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u9019\u4e94\u5927<strong>\u300c\u5171\u6709\u6982\u5ff5\u300d<\/strong>\uff0c\u6709\u6642\u5019\u4e5f\u6703\u88ab\u7a31\u4f5c<strong>\u300c\u4e00\u822c\u6982\u5ff5\u300d<\/strong>\uff0c\u5b83\u7684\u82f1\u6587\u540d\u8a5e\u662f <strong>common notion<\/strong> \uff0c\u9019\u662f\u6b50\u5e7e\u91cc\u5f97\u70ba\u4e86\u547c\u61c9\u4e9e\u91cc\u65af\u591a\u5fb7\u7684\u60f3\u6cd5\u800c\u7522\u751f\u7684\u3002\u4e9e\u91cc\u65af\u591a\u5fb7\u8a8d\u70ba\u4e00\u500b\u6f14\u7e79\u7684\u79d1\u5b78\uff0c\u9664\u4e86\u300c\u516c\u7406\uff08\u8a2d\u6e96\u3001\u516c\u8a2d\uff09\u300d\u4e4b\u5916\uff0c\u61c9\u8a72\u8981\u5960\u57fa\u65bc\u300c\u5171\u6709\u6982\u5ff5\u300d\u4e4b\u4e0a\uff0c\u4f86\u69cb\u6210\u6240\u6709\u6f14\u7e79\u601d\u7dad\u7684\u57fa\u790e\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u601d\u8003<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u9019\u4e9b\u516c\u7406\u8207\u5171\u6709\u6982\u5ff5\u5728\u6b50\u5e7e\u91cc\u5f97\u7684\u8ad6\u8ff0\u4e4b\u4e2d\uff0c\u662f\u6211\u5011\u5fc5\u9808\u8981\u53bb\u76f8\u4fe1\u7684\u524d\u63d0\u3001\u6558\u8ff0\u6216\u662f\u547d\u984c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u6211\u5011\u6709\u5e78\u8207\u6b50\u5e7e\u91cc\u5f97\u6d3b\u5728\u76f8\u540c\u5e74\u4ee3\uff0c\u5728\u7576\u4e0b\u5411\u6b50\u6c0f\u63d0\u51fa\u751a\u9ebc\u662f\u9ede\uff1f\u751a\u9ebc\u662f\u76f4\u7dda\uff1f\u751a\u9ebc\u53c8\u662f\u76f4\u89d2\uff1f\u53c8\u6216\u8005\u600e\u9ebc\u53bb\u8b49\u660e\u9019\u4e9b\u516c\u7406\u8207\u6982\u5ff5\u70ba\u771f\uff1f\u6b50\u5e7e\u91cc\u5f97\u53ef\u80fd\u7121\u6cd5\u7d66\u6211\u5011\u56de\u7b54\u9019\u4e9b\u554f\u984c\u7684\u7b54\u6848\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5f8c\u4f86\u53bb\u5b78\u4e86\u7b1b\u5361\u5152\u5e7e\u4f55\uff08\u5361\u5f0f\u5e7e\u4f55\u3001\u89e3\u6790\u5e7e\u4f55\u3001\u5ea7\u6a19\u5e7e\u4f55\uff09\u4e4b\u5f8c\uff0c\u5c31\u77e5\u9053\u539f\u4f86\u6b50\u6c0f\u5e7e\u4f55\u4e2d\u7684\u516c\u7406\u4e5f\u662f\u53ef\u4ee5\u50cf\u5b9a\u7406\u4e00\u822c\u88ab\u8b49\u660e\u7684\uff0c\u4e0d\u9700\u8981\u88ab\u7576\u6210\u516c\u7406\u4e00\u822c\u7684\u76f2\u76ee\u76f8\u4fe1\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u79d1\u5b78\u65b9\u6cd5\u96d6\u7136\u6709\u6240\u4e0d\u540c\uff0c\u4f46\u662f\u6578\u5b78\u5c31\u662f\u9019\u9ebc\u5176\u5999\uff0c\u516c\u7406\u65b9\u6cd5\u3001\u89e3\u6790\u65b9\u6cd5\u3001\u751a\u81f3\u5f8c\u4f86\u7684\u4ee3\u6578\u65b9\u6cd5\uff08\u884d\u751f\u51fa\u4ee3\u6578\u5e7e\u4f55\uff09\uff0c\u90fd\u53ef\u4ee5\u6b63\u78ba\u89e3\u6c7a\u6240\u8981\u8655\u7406\u7684\u76f8\u540c\u554f\u984c\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u53c3\u8003\u8cc7\u6599<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/zh.wikipedia.org\/zh-tw\/%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97\">\u6b50\u5e7e\u91cc\u5f97<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/zh.wikipedia.org\/zh-tw\/%E5%87%A0%E4%BD%95%E5%8E%9F%E6%9C%AC\">\u5e7e\u4f55\u539f\u672c<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/zh.wikipedia.org\/zh-tw\/%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97%E5%87%A0%E4%BD%95\">\u6b50\u5e7e\u91cc\u5f97\u5e7e\u4f55<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u6700\u8fd1\u770b Lu \u5bf6\u8c9d\u5b78\u5e7e\u4f55\u76f8\u95dc\u7684\u6982\u5ff5\uff0c\u53ef\u8aaa\u662f\u5b78\u5f97\u5982\u706b\u5982\u837c\uff0c\u81ea\u5df1\u4e5f\u7a81\u7136\u60f3\u8d77\u4ee5\u524d\u8001\u5e2b\u6559\u904e\u300a\u5e7e\u4f55\u539f\u672c\u300b\u4e2d\u6709\u4e94\u5927\u516c\u7406\uff0c\u4f46\u662f\u73fe\u5728\u537b\u600e\u9ebc\u4e5f\u60f3\u4e0d\u8d77\u4f86\uff0c\u67d0\u500b\u665a\u4e0a\u5077\u9592\u53bb\u88dc\u8166\u4e86\u4e00\u4e0b\uff0c\u5728\u6b64\u505a\u500b\u7d00\u9304\u3002 \u6b50\u6c0f\u5e73\u9762\u5e7e\u4f55\u4e94\u5927\u300c\u516c\u7406\u300d \u6211\u7684\u5370\u8c61\u4e2d\u4e0a\u9762\u4e94\u500b [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2797,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[141],"tags":[8,153],"class_list":["post-2785","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-141","tag-lulu","tag-mathematics"],"featured_image_src":"https:\/\/wordpress.cine.idv.tw\/wp-content\/uploads\/2023\/02\/Euclid-proof.jpg","author_info":{"display_name":"shortie","author_link":"https:\/\/wordpress.cine.idv.tw\/index.php\/author\/shortie\/"},"yoast_head":"<!-- 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