{"id":28331,"date":"2017-06-21T00:00:14","date_gmt":"2017-06-20T16:00:14","guid":{"rendered":"https:\/\/case.ntu.edu.tw\/blog\/?p=28331"},"modified":"2018-07-29T09:44:15","modified_gmt":"2018-07-29T01:44:15","slug":"%e3%80%90%e5%a4%a7%e5%ae%87%e5%ae%99%e5%b0%8f%e6%95%85%e4%ba%8b%e3%80%9126-%e8%8a%b1%e6%8b%89%e5%ad%90%e6%a8%a1%e8%88%87%e8%8a%b1%e6%8b%89%e5%ad%90%e7%b1%b3","status":"publish","type":"post","link":"https:\/\/case.ntu.edu.tw\/blog\/?p=28331","title":{"rendered":"\u3010\u5927\u5b87\u5b99\u5c0f\u6545\u4e8b\u301126 \u82b1\u62c9\u5b50\u6a21\u8207\u82b1\u62c9\u5b50\u7c73"},"content":{"rendered":"<p><strong>\u64b0\u6587\uff5c<\/strong>\u8449\u674e\u83ef<\/p>\n<p>\u300c\u4e2d\u4e16\u7d00\u300d\u4e00\u822c\u662f\u6307\u516c\u5143\u4e94\u4e16\u7d00\u5230\u5341\u4e94\u4e16\u7d00\uff0c\u548c\u6b50\u6d32\u7684\u300c\u9ed1\u6697\u6642\u4ee3\u300d\u5e7e\u4e4e\u91cd\u758a\u3002<\/p>\n<p>\u7136\u800c\u5728\u4e16\u754c\u5176\u4ed6\u89d2\u843d\uff0c\u9019\u4e00\u5343\u5e74\u7684\u6642\u9593\u4e26\u4e0d\u4e00\u5b9a\u9ed1\u6697\uff0c\u751a\u81f3\u525b\u597d\u76f8\u53cd\u3002\u6bd4\u65b9\u8aaa\uff0c\u5176\u4e2d\u81f3\u5c11\u6709\u4e00\u534a\u7684\u6b72\u6708(\u516b\u81f3\u5341\u4e09\u4e16\u7d00)\u516c\u8a8d\u662f\u4f0a\u65af\u862d\u4e16\u754c\u7684\u9ec3\u91d1\u6642\u4ee3\uff0c\u9019\u548c\u4f0a\u65af\u862d\u6559\u7684\u50b3\u64ad\u4ee5\u53ca\u963f\u62c9\u4f2f\u5e1d\u570b\u7684\u8208\u8870\u6709\u8457\u5bc6\u5207\u95dc\u806f\u3002<\/p>\n<p>\u5728\u9019\u4e94\u767e\u591a\u5e74\u9593\uff0c\u4f0a\u65af\u862d\u5b78\u8005\u4e0d\u4f46\u4fdd\u5b58\u4e86\u96aa\u4e9b\u5931\u50b3\u7684\u5e0c\u81d8\u7f85\u99ac\u6587\u660e\uff0c\u9084\u505a\u4e86\u4e0d\u5c11\u9326\u4e0a\u6dfb\u82b1\u7684\u5de5\u4f5c\u3002\u56e0\u6b64\u81f3\u4eca\u70ba\u6b62\uff0c\u5728\u8a31\u591a\u79d1\u5b78\u9818\u57df(\u5305\u62ec\u5929\u6587\u3001\u6578\u5b78\u3001\u7269\u7406\u3001\u5316\u5b78\uff0c\u4e43\u81f3\u751f\u7269\u5b78\u548c\u91ab\u5b78)\u90fd\u6709\u4f0a\u65af\u862d\u6587\u5316\u7684\u5f71\u5b50\u3002<\/p>\n<p>\u70ba\u4e86\u907f\u514d\u9577\u7bc7\u5927\u8ad6\uff0c\u8b93\u6211\u5011\u5f9e\u4e00\u500b\u91cd\u8981\u500b\u6848\u8ac7\u8d77\u3002<!--more--><\/p>\n<figure id=\"attachment_28332\" aria-describedby=\"caption-attachment-28332\" style=\"width: 298px\" class=\"wp-caption alignleft\"><img fetchpriority=\"high\" decoding=\"async\" class=\"wp-image-28332\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2017\/06\/26-1.png\" alt=\"\" width=\"298\" height=\"400\" \/><figcaption id=\"caption-attachment-28332\" class=\"wp-caption-text\">\u524d\u8607\u806f\u767c\u884c\u7684\u82b1\u62c9\u5b50\u7c731200\u6b72\u8a95\u8fb0\u7d00\u5ff5\u90f5\u7968\uff0c\u5176\u4e2d\u8096\u50cf\u70ba\u60f3\u50cf\u756b(\u5716\u50cf\u4f86\u6e90\uff1a\u7dad\u57fa\u767e\u79d1)<\/figcaption><\/figure>\n<p><span style=\"color: #008080;\"><strong>\u25cf\u82b1\u62c9\u5b50\u6a21<\/strong><\/span><\/p>\n<p>\u82b1\u62c9\u5b50\u6a21(Khwarezm)\u662f\u500b\u53e4\u8001\u7684\u5730\u540d\u548c\u570b\u540d\uff0c\u5982\u679c\u4f60\u5c0d\u5b83\u6709\u4e9b\u5370\u8c61\uff0c\u5f88\u53ef\u80fd\u662f\u56e0\u70ba\u4f60\u9084\u8a18\u5f97\u6210\u5409\u601d\u6c57\u897f\u5f81\u7684\u6b77\u53f2(\u5341\u4e09\u4e16\u7d00\u521d\uff0c\u8499\u53e4\u7b2c\u4e00\u6b21\u897f\u5f81\uff0c\u6ec5\u4e2d\u4e9e\u5927\u570b\u82b1\u62c9\u5b50\u6a21)\u3002<\/p>\n<p>\u800c\u5728\u6578\u5b78\u53f2\u4e0a\uff0c\u6709\u4e00\u4f4d\u91cd\u91cf\u7d1a\u7684\u4eba\u7269\u82b1\u62c9\u5b50\u7c73(Muhammad al-Khwarizmi, 780?-850?)\uff0c\u986f\u7136\u548c\u82b1\u62c9\u5b50\u6a21\u6709\u4e9b\u6df5\u6e90\u3002\u4e8b\u5be6\u4e0a\uff0c\u4ed6\u7684\u540d\u5b57\u61c9\u8a72\u8b6f\u70ba\u300c\u82b1\u62c9\u5b50\u6a21\u7684\u7a46\u7f55\u9ed8\u5fb7\u300d\u624d\u7b97\u4e0d\u5931\u539f\u610f\uff0c\u6b63\u5982\u300c\u674e\u5967\u7d0d\u591a\u2027\u9054\u6587\u897f\u300d\u7684\u6b63\u78ba\u89e3\u8b80\u662f\u300c\u6587\u897f\u7684\u674e\u5967\u7d0d\u591a\u300d\u3002<\/p>\n<p>\u9019\u4f4d\u4e5d\u4e16\u7d00\u7684\u6578\u5b78\u5bb6\u96d6\u7136\u8d6b\u8d6b\u6709\u540d\uff0c\u537b\u6c92\u6709\u4eba\u77e5\u9053\u4ed6\u9577\u5f97\u4ec0\u9ebc\u6a23\u5b50\uff0c\u57fa\u65bc\u7576\u6642\u7684\u5b97\u6559\u7981\u5fcc\uff0c\u4ed6\u751f\u524d\u4e26\u672a\u7559\u4e0b\u4efb\u4f55\u8096\u50cf\u3002\u8a71\u8aaa\u56de\u4f86\uff0c\u540d\u5b57\u53ea\u662f\u4e00\u500b\u4ee3\u865f(\u7a31\u4ed6\u70baXYZ\u4e5f\u7121\u59a8)\uff0c\u5bb9\u8c8c\u4e5f\u53ea\u662f\u819a\u6dfa\u7684\u8868\u8c61(\u5f8c\u4eba\u611b\u600e\u9ebc\u756b\u90fd\u884c)\u3002\u771f\u6b63\u91cd\u8981\u7684\u662f\uff0c\u6211\u5011\u53ef\u4ee5\u65ac\u91d8\u622a\u9435\u5730\u8aaa\uff0c\u4ed6\u5728\u6578\u5b78\u53f2\u4e0a\u6709\u8457\u4e16\u754c\u7d1a\u8207\u4e16\u7d00\u7d1a\u7684\u5730\u4f4d\u3002<\/p>\n<p>\u9019\u9ebc\u91cd\u8981\u7684\u4eba\u7269\uff0c\u7576\u7136\u61c9\u8a72\u5c0d\u4ed6\u7684\u751f\u5e73\u591a\u505a\u4e9b\u77ad\u89e3\u3002<\/p>\n<p><span style=\"color: #008080;\"><strong>\u25cf\u5169\u7a2e\u6587\u5316<\/strong><\/span><\/p>\n<p>\u9ec3\u91d1\u6642\u4ee3\u7684\u4f0a\u65af\u862d\u4e16\u754c\u4e3b\u8981\u6210\u54e1\u5305\u62ec\u963f\u62c9\u4f2f\u4eba\u548c\u6ce2\u65af\u4eba\uff0c\u82b1\u62c9\u5b50\u6a21\u9019\u500b\u570b\u5bb6\u5c6c\u65bc\u5f8c\u8005\u3002\u4f46\u7531\u65bc\u672c\u6587\u7684\u4e3b\u89d2\u5f8c\u4f86\u5b9a\u5c45\u5df4\u683c\u9054(\u7576\u6642\u963f\u62c9\u4f2f\u5e1d\u570b\u7684\u9996\u90fd)\uff0c\u800c\u4e14\u4ed6\u7684\u8457\u4f5c\u4e00\u5f8b\u4ee5\u963f\u62c9\u4f2f\u6587\u5beb\u6210\uff0c\u4ee5\u81f3\u5f88\u5c11\u6709\u4eba\u7559\u610f\u5230\u4ed6\u5176\u5be6\u662f\u6ce2\u65af\u5f8c\u88d4\u3002<\/p>\n<p>\u5f9e\u6545\u9109\u4f86\u5230\u5df4\u683c\u9054\u4e4b\u5f8c\uff0c\u82b1\u62c9\u5b50\u7c73\u4efb\u8077\u65bc\u300c\u667a\u6167\u5bae\u300d\u9019\u500b\u570b\u5bb6\u7d1a\u7ffb\u8b6f\u517c\u7814\u7a76\u6a5f\u69cb\uff0c\u64d4\u4efb\u985e\u4f3c\u9ad8\u7d1a\u7814\u7a76\u54e1\u7684\u5de5\u4f5c\u3002<\/p>\n<p>\u300c\u667a\u6167\u5bae\u300d\u7684\u524d\u8eab\u662f\u570b\u5bb6\u5716\u66f8\u9928\uff0c\u85cf\u66f8\u81ea\u7136\u5341\u5206\u8c50\u5bcc\uff0c\u4e0d\u4f46\u6709\u4f86\u81ea\u4e16\u754c\u5404\u5730\u7684\u7d93\u5178\u540d\u8457\uff0c\u800c\u4e14\u90fd\u6709\u963f\u62c9\u4f2f\u6587\u8b6f\u672c\u3002\u5728\u9019\u7a2e\u5f97\u5929\u7368\u539a\u7684\u6a5f\u7de3\u4e0b\uff0c\u82b1\u62c9\u5b50\u7c73\u5f97\u4ee5\u540c\u6642\u63a5\u89f8\u5169\u7a2e\u98a8\u683c\u8fe5\u7570\u7684\u6578\u5b78\u6587\u5316\u2500\u2500\u504f\u91cd\u908f\u8f2f\u8207\u5e7e\u4f55\u7684\u5e0c\u81d8\u6578\u5b78\uff0c\u4ee5\u53ca\u504f\u91cd\u8a08\u7b97\u8207\u7b26\u865f\u7684\u5370\u5ea6\u6578\u5b78\u3002<\/p>\n<p>\u7531\u65bc\u6642\u9593\u548c\u7a7a\u9593\u7684\u96d9\u91cd\u963b\u9694\uff0c\u9019\u5169\u7a2e\u6578\u5b78\u59cb\u7d42\u6c92\u6709\u63a5\u89f8\u7684\u6a5f\u6703\u3002\u76f4\u5230\u9019\u500b\u6642\u5019\uff0c\u5728\u82b1\u62c9\u5b50\u7c73\u7684\u5927\u8166\u4e2d\uff0c\u5169\u8005\u624d\u9996\u5ea6\u6fc0\u76ea\u51fa\u706b\u82b1\u3002<\/p>\n<p>\u9019\u500b\u706b\u82b1\uff0c\u5c31\u662f\u5982\u4eca\u6240\u8b02\u7684\u300c\u4ee3\u6578\u5b78\u300d\u3002<\/p>\n<p><span style=\"color: #008080;\"><strong>\u25cf\u4ee3\u6578\u5b78\u8207\u6f14\u7b97\u6cd5<\/strong><\/span><\/p>\n<p>\u5927\u7d04\u5728\u516c\u5143820\u5e74\u7684\u6642\u5019\uff0c\u82b1\u62c9\u5b50\u7c73\u5beb\u51fa\u53f2\u4e0a\u7b2c\u4e00\u672c\u4ee3\u6578\u6559\u79d1\u66f8\u3002\u7531\u65bc\u7576\u6642\u9084\u6c92\u6709\u4ee3\u6578(\u5b78)\u9019\u500b\u540d\u8a5e\uff0c\u6240\u4ee5\u4ed6\u7528\u300a\u79fb\u9805\u8207\u6d88\u53bb(\u7684\u8a08\u7b97\u6cd5\u7c21\u4ecb)\u300b\u7576\u4f5c\u66f8\u540d\u3002<\/p>\n<p>\u5728\u9019\u672c\u66f8\u4e2d\uff0c\u82b1\u62c9\u5b50\u7c73\u8a73\u7d30\u8a0e\u8ad6\u4e86\u67d0\u4e9b\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5f0f\u7684\u89e3\u6cd5(\u6240\u4ee5\u8981\u7528\u5230\u300c\u79fb\u9805\u300d\u548c\u300c\u6d88\u53bb\u300d)\u3002\u6709\u8da3\u7684\u662f\uff0c\u96d6\u7136\u5b83\u662f\u6a19\u6e96\u7684\u6578\u5b78\u66f8\uff0c\u537b\u6c92\u6709\u4efb\u4f55\u516c\u5f0f\u6216\u7b26\u865f\uff0c\u5168\u66f8\u5f9e\u982d\u5230\u5c3e\u90fd\u662f\u6587\u5b57\uff0c\u9802\u591a\u518d\u642d\u914d\u5e7e\u5f35\u63d2\u5716\u3002(\u9817\u985e\u4f3c\u4e2d\u570b\u53e4\u4ee3\u7684\u6578\u5b78\u8457\u4f5c\uff0c\u4f8b\u5982\u300a\u5468\u9ac0\u7b97\u7d93\u300b\u6216\u300a\u4e5d\u7ae0\u7b97\u8853\u300b\u3002)<\/p>\n<figure id=\"attachment_28333\" aria-describedby=\"caption-attachment-28333\" style=\"width: 700px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"wp-image-28333\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2017\/06\/26-2.jpg\" alt=\"\" width=\"700\" height=\"512\" \/><figcaption id=\"caption-attachment-28333\" class=\"wp-caption-text\">\u300a\u79fb\u9805\u8207\u6d88\u53bb\u300b\u5169\u7a2e\u4e0d\u540c\u6642\u4ee3\u7684\u7248\u672c(\u5716\u50cf\u4f86\u6e90\uff1aInternet Archive)<\/figcaption><\/figure>\n<p>\u4f60\u4e00\u5b9a\u5b78\u904e\u5982\u4f55\u7528\u300c\u516c\u5f0f\u6cd5\u300d\u4f86\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5f0fax<sup>2<\/sup>+bx+c=0, \u8acb\u60f3\u60f3\uff0c\u5982\u679c\u8981\u4f60\u5b8c\u5168\u7528\u4e2d\u6587\u4f86\u6558\u8ff0\u9019\u500b\u516c\u5f0f(\u4f8b\u5982\u7a31x\u70ba\u672a\u77e5\u6578\uff0c\u7a31a\u70ba\u672a\u77e5\u6578\u5e73\u65b9\u7684\u4fc2\u6578)\uff0c\u662f\u4e0d\u662f\u96d6\u7136\u5f88\u9ebb\u7169\uff0c\u5be6\u969b\u4e0a\u4e26\u4e0d\u600e\u9ebc\u56f0\u96e3\uff1f<\/p>\n<p>\u800c\u4e14\uff0c\u4f60\u5f88\u53ef\u80fd\u66fe\u7d93\u4f7f\u7528\u300c\u96fb\u8166\u770b\u5f97\u61c2\u7684\u8a9e\u8a00\u300d\u4e00\u6b65\u6b65\u6558\u8ff0\u904e\u9019\u500b\u516c\u5f0f\u3002\u56e0\u70ba\u4e0d\u8ad6\u591a\u9ebc\u5de7\u5999\u7684\u516c\u5f0f\uff0c\u5982\u679c\u8981\u8acb\u96fb\u8166\u4ee3\u52de\uff0c\u5c31\u5fc5\u9808\u6309\u90e8\u5c31\u73ed\u8ddf\u5b83\u6e9d\u901a\u3002\u6bd4\u65b9\u8aaa\uff0c\u958b\u6839\u865f\u7684\u904b\u7b97\u901a\u5e38\u53ea\u5c0d\u6b63\u6578\u6216\u96f6\u6709\u6548\uff0c\u586b\u5165\u8ca0\u6578\u5c31\u6703\u51fa\u73fe\u932f\u8aa4\u8a0a\u606f\uff0c\u56e0\u6b64\u4f60\u5fc5\u9808\u6839\u64dab<sup>2<\/sup>-4ac\u662f\u5426\u5c0f\u65bc\u96f6\uff0c\u5206\u6210\u5169\u7a2e\u60c5\u5f62\u4f86\u8655\u7406\u3002<\/p>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-28334\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2017\/06\/26-3.jpg\" alt=\"\" width=\"500\" height=\"412\" \/><\/p>\n<p>\u9019\u4e9b\u6309\u90e8\u5c31\u73ed\u7684\u6b65\u9a5f\u53ef\u4ee5\u7a31\u70ba\u7a0b\u5f0f\uff0c\u66f4\u7cbe\u6e96\u7684\u540d\u7a31\u5247\u662f\u300c\u6f14\u7b97\u6cd5\u300d(algorithm)\u3002\u4f46\u5982\u679c\u6211\u5011\u63a1\u7528\u76f4\u8b6f\uff0c\u9019\u500b\u540d\u8a5e\u61c9\u8a72\u8b6f\u70ba\u300c\u82b1\u62c9\u5b50\u7c73\u6cd5\u300d\uff0c\u56e0\u70ba\u5728\u300a\u79fb\u9805\u8207\u6d88\u53bb\u300b\u7684\u62c9\u4e01\u6587\u8b6f\u672c(1145\u5e74)\uff0c\u4f5c\u8005\u7684\u540d\u5b57\u88ab\u8f49\u63db\u6210\u62c9\u4e01\u98a8\u683c\u7684Algoritmi(al-Khwarizmi\u5247\u662f\u76f4\u63a5\u8f49\u5beb\u81ea\u963f\u62c9\u4f2f\u6587)\u3002\u73fe\u5728\uff0c\u4f60\u6703\u4e0d\u6703\u89ba\u5f97\u5c0d\u672c\u6587\u4e3b\u89d2\u6709\u4e9b\u89aa\u5207\u611f\u4e86\uff1f<\/p>\n<p>\u4e8b\u5be6\u4e0a\uff0c\u5c31\u9023\u300c\u4ee3\u6578\u300d(algebra)\u9019\u500b\u540d\u8a5e\u4e5f\u662f\u6e90\u81ea\u9019\u672c\u66f8\uff0c\u5b83\u5c0d\u61c9\u65bc\u300c\u79fb\u9805\u300d\u7684\u963f\u62c9\u4f2f\u6587(al-jabr, \u5176\u4e2dal\u662f\u5b9a\u51a0\u8a5e)\u3002<\/p>\n<p>\u6240\u4ee5\u8aaa\uff0c\u4eca\u5f8c\u4f60\u518d\u78b0\u5230al\u958b\u982d\u7684\u82f1\u6587\uff0c\u6703\u4e0d\u6703\u5fcd\u4e0d\u4f4f\u61f7\u7591\u5b83\u6e90\u81ea\u963f\u62c9\u4f2f\u6587\uff1f(\u5176\u5be6\u6a5f\u6703\u7684\u78ba\u5f88\u5927\uff0c\u4f8b\u5982alchemy, alcohol, alkali, although not always true.)<\/p>\n<p><span style=\"color: #008080;\"><strong>\u25cf\u5be6\u81f3\u540d\u6b78<\/strong><\/span><\/p>\n<p>\u56b4\u683c\u8aaa\u4f86\uff0c\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5f0f\u7684\u89e3\u6cd5\u4e26\u975e\u82b1\u62c9\u5b50\u7c73\u9996\u5275\uff0c\u5728\u4ed6\u4e4b\u524d\u5169\u767e\u5e74\uff0c\u5370\u5ea6\u6578\u5b78\u5bb6\u5a46\u7f85\u6469\u7b08\u591a(Brahmagupta)\u5c31\u66fe\u7d93\u8457\u66f8\u7acb\u8aaa\uff0c\u8a73\u7d30\u8a0e\u8ad6\u985e\u4f3c\u7684\u6f14\u7b97\u6cd5\uff0c\u800c\u4e14\u82b1\u62c9\u5b50\u7c73\u5f88\u53ef\u80fd\u8b80\u904e\u9019\u672c\u540d\u70ba\u300a\u5a46\u7f85\u6469\u66c6\u7b97\u66f8\u300b\u7684\u5370\u5ea6\u6578\u5b78\u540d\u8457\u3002<\/p>\n<p>\u53ef\u662f\u300c\u4ee3\u6578\u5b78\u4e4b\u7236\u300d\u9019\u500b\u982d\u929c\u537b\u88ab\u82b1\u62c9\u5b50\u7c73\u6436\u4e86\u53bb\uff0c\u5f9e\u4f86\u6c92\u6709\u4eba\u70ba\u5a46\u7f85\u6469\u7b08\u591a\u4f38\u51a4\uff0c\u9019\u7576\u7136\u662f\u6709\u539f\u56e0\u7684\u3002\u5c0d\u5a46\u7f85\u6469\u7b08\u591a\u800c\u8a00\uff0c\u4ed6\u771f\u6b63\u611f\u8208\u8da3\u7684\u662f\u7b97\u8853\u548c\u6578\u8ad6\u7684\u554f\u984c\uff0c\u65b9\u7a0b\u5f0f\u53ea\u662f\u89e3\u984c\u7684\u5de5\u5177\u800c\u5df2\u3002\u82b1\u62c9\u5b50\u7c73\u5247\u4e0d\u7136\uff0c\u5728\u300a\u79fb\u9805\u8207\u6d88\u53bb\u300b\u9019\u672c\u66f8\u88e1\uff0c\u65b9\u7a0b\u5f0f\u7684\u89e3\u6cd5\u5f9e\u982d\u5230\u5c3e\u90fd\u662f\u4e3b\u89d2\u3002<\/p>\n<p>\u4e0d\u904e\u5343\u842c\u5225\u4ee5\u70ba\u82b1\u62c9\u5b50\u7c73\u8f15\u8996\u7b97\u8853\uff0c\u4e8b\u5be6\u4e0a\uff0c\u4ed6\u9084\u6709\u53e6\u4e00\u672c\u50b3\u4e16\u4e4b\u4f5c\uff0c\u66f8\u540d\u662f\u300a\u5370\u5ea6\u8a08\u7b97\u4e2d\u7684\u52a0\u6e1b\u6cd5\u300b\u3002\u9019\u672c\u66f8\u6700\u91cd\u8981\u7684\u8ca2\u737b\uff0c\u5c31\u662f\u628a\u300c\u5370\u5ea6\u6578\u5b57\u7cfb\u7d71\u300d\u5f15\u9032\u963f\u62c9\u4f2f\u6587\u5316\u5708\uff0c\u7136\u5f8c\u518d\u7d93\u7531\u5b83\u7684\u62c9\u4e01\u6587\u8b6f\u672c\uff0c\u5c07\u9019\u500b\u6578\u5b57\u7cfb\u7d71\u63a8\u5ee3\u5230\u5168\u4e16\u754c\u3002<\/p>\n<p>\u503c\u5f97\u4e00\u63d0\u7684\u662f\uff0c\u300c\u5370\u5ea6\u6578\u5b57\u7cfb\u7d71\u300d\u548c\u300c\u5370\u5ea6\u963f\u62c9\u4f2f\u6578\u5b57\u7cfb\u7d71\u300d\u56b4\u683c\u8aaa\u4f86\u4e0d\u80fd\u756b\u4e0a\u7b49\u865f\uff0c\u56e0\u70ba\u5f8c\u8005\u591a\u4e86\u4f0a\u65af\u862d\u6578\u5b78\u5bb6\u7684\u4e00\u9ede\u5275\u610f\u2500\u2500\u5c0f\u6578\u9ede\uff0c\u66f4\u7cbe\u78ba\u5730\u8aaa\u662f\u300c\u5c0f\u6578\u9ede\u7684\u6982\u5ff5\u300d\uff0c\u56e0\u70ba\u6700\u521d\u7684\u5c0f\u6578\u9ede\u5176\u5be6\u662f\u300c\u500b\u4f4d\u6578\u4e0a\u7684\u659c\u69d3\u300d\u3002(\u4e0d\u904e\uff0c\u7531\u65bc\u9019\u500b\u767c\u660e\u4f86\u5f97\u8f03\u9072\uff0c\u82b1\u62c9\u5b50\u7c73\u4f86\u4e0d\u53ca\u5c07\u5b83\u5beb\u9032\u66f8\u4e2d\u3002)\u7e3d\u800c\u8a00\u4e4b\uff0c\u5f9e\u300c\u5370\u5ea6\u6578\u5b57\u300d\u6f14\u8b8a\u5230\u300c\u5370\u5ea6\u963f\u62c9\u4f2f\u6578\u5b57\u300d\uff0c\u904e\u7a0b\u4e2d\u4e5f\u6709\u4e00\u500b\u9326\u4e0a\u6dfb\u82b1\u7684\u5c0f\u63d2\u66f2\u3002<\/p>\n<p><span style=\"color: #008080;\"><strong>\u25cf\u9ec3\u91d1\u56e0\u7d20<\/strong><\/span><\/p>\n<p>\u5982\u524d\u6240\u8ff0\uff0c\u4f0a\u65af\u862d\u4e16\u754c\u6709\u8457\u9577\u9054\u4e94\u767e\u591a\u5e74\u7684\u9ec3\u91d1\u6642\u4ee3\uff0c\u5728\u8a31\u591a\u65b9\u9762\u90fd\u6709\u76f8\u7576\u8f1d\u714c\u7684\u6210\u5c31\u3002\u6211\u5011\u5f9e\u82b1\u62c9\u5b50\u7c73\u7684\u500b\u6848\uff0c\u81f3\u5c11\u80fd\u6b78\u7d0d\u51fa\u4e09\u500b\u300c\u9ec3\u91d1\u56e0\u7d20\u300d\u3002<\/p>\n<p>\u4e00\u3001\u96a8\u8457\u4f0a\u65af\u862d\u6559\u7684\u50b3\u64ad\uff0c\u963f\u62c9\u4f2f\u6587\u6210\u70ba\u5171\u901a\u8a9e\u8a00\uff1a\u6b63\u5982\u7576\u4eca\u7684\u82f1\u6587(\u901a\u884c\u5168\u7403)\uff0c\u4ee5\u53ca\u725b\u9813\u6642\u4ee3\u7684\u62c9\u4e01\u6587(\u901a\u884c\u6b50\u6d32)\uff0c\u5728\u7576\u6642\u7684\u4f0a\u65af\u862d\u4e16\u754c\uff0c\u963f\u62c9\u4f2f\u6587\u662f\u77e5\u8b58\u754c\u7684\u5171\u901a\u8a9e\u8a00\u3002\u4e0d\u8ad6\u662f\u4f86\u81ea\u4f55\u8655\u7684\u5b78\u8005\uff0c\u53ea\u8981\u61c2\u5f97\u963f\u62c9\u4f2f\u6587\uff0c\u5f7c\u6b64\u5c31\u4e0d\u6703\u6709\u8a9e\u6587\u4e0a\u7684\u9694\u95a1\uff0c\u9019\u5c0d\u5b78\u8853\u4ea4\u6d41\u6709\u83ab\u5927\u52a9\u76ca\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u82b1\u62c9\u5b50\u7c73\u96d6\u7136\u662f\u6ce2\u65af\u4eba\uff0c\u537b\u672a\u66fe\u7559\u4e0b\u6ce2\u65af\u6587\u624b\u7a3f\uff0c\u6b63\u662f\u56e0\u70ba\u6ce2\u65af\u6587\u4e26\u975e\u7576\u6642\u7684\u4e3b\u6d41\u8a9e\u8a00\u3002<\/p>\n<p>\u4e8c\u3001\u963f\u62c9\u4f2f\u5e1d\u570b\u7684\u9996\u90fd\u5df4\u683c\u9054\u662f\u653f\u6cbb\u517c\u5b78\u8853\u4e2d\u5fc3\uff1a\u8a31\u591a\u5b78\u8005\u4e0d\u9060\u5343\u91cc\u800c\u4f86(\u5305\u62ec\u6b50\u6d32\u4eba\u8207\u4e2d\u570b\u4eba)\uff0c\u82b1\u62c9\u5b50\u7c73\u5c31\u662f\u4ee3\u8868\u4eba\u7269\u4e4b\u4e00\u3002\u9019\u9ebc\u591a\u512a\u79c0\u7684\u5b78\u8005\u805a\u5728\u4e00\u8d77\uff0c\u81ea\u7136\u5f62\u6210\u4e00\u80a1\u5f37\u70c8\u7684\u5b78\u8853\u6c23\u6c1b\u3002<\/p>\n<p>\u4e09\u3001\u667a\u6167\u5bae\u4e3b\u5c0e\u7684\u767e\u5e74\u7ffb\u8b6f\u904b\u52d5\u529f\u4e0d\u53ef\u6c92\uff1a\u82b1\u62c9\u5b50\u7c73\u5c31\u662f\u6700\u597d\u7684\u4f8b\u5b50\uff0c\u4ed6\u6839\u672c\u4e0d\u5fc5\u5b78\u7fd2\u5e0c\u81d8\u6587\u6216\u68b5\u6587\uff0c\u4fbf\u80fd\u7814\u8b80\u5e0c\u81d8\u6578\u5b78\u8207\u5370\u5ea6\u6578\u5b78\u7684\u7d93\u5178\uff0c\u4f8b\u5982\u524d\u8ff0\u7684\u300a\u5a46\u7f85\u6469\u66c6\u7b97\u66f8\u300b\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>\u8a3b\u4e00\uff1a\u963f\u62c9\u4f2f\u5e1d\u570b\u662f\u6a19\u6e96\u7684\u653f\u6559\u5408\u4e00\u653f\u9ad4\uff0c\u7d71\u6cbb\u8005\u7a31\u70ba\u300c\u54c8\u91cc\u767c\u300d\u3002\u82b1\u62c9\u5b50\u7c73\u4e4b\u6240\u4ee5\u4f86\u5230\u5df4\u683c\u9054\uff0c\u5f88\u53ef\u80fd\u662f\u53d7\u9080\u65bc\u7576\u6642\u7684\u54c8\u91cc\u767c\u2500\u2500\u99ac\u8499(Al-Ma'mun, 786-833)\u3002\u99ac\u8499\u65bc\u5728\u4f4d\u6642\u671f(813-833)\u5927\u529b\u652f\u6301\u7ffb\u8b6f\u904b\u52d5\u8207\u5b78\u8853\u7814\u7a76\uff0c\u667a\u6167\u5bae\u5c31\u662f\u5728\u4ed6\u624b\u4e2d\u7531\u5716\u66f8\u9928\u86fb\u8b8a\u70ba\u570b\u5bb6\u7d1a\u7814\u7a76\u6a5f\u69cb\u3002<\/p>\n<p>\u8a3b\u4e8c\uff1a\u516c\u51431258\u5e74\uff0c\u667a\u6167\u5bae\u6bc0\u65bc\u8499\u53e4\u7b2c\u4e09\u6b21\u897f\u5f81\uff0c\u85cf\u66f8\u901a\u901a\u88ab\u62cb\u5230\u5e95\u683c\u91cc\u65af\u6cb3\u4e2d\uff0c\u9020\u6210\u300c\u58a8\u6d41\u6210\u6cb3\u300d\u7684\u5947\u666f\u3002\u96a8\u8457\u5df4\u683c\u9054\u7684\u9677\u843d\uff0c\u4f0a\u65af\u862d\u4e16\u754c\u7684\u9ec3\u91d1\u6642\u4ee3\u4e5f\u5c31\u6b64\u843d\u5e55\u3002<\/p>\n<p>\u8a3b\u4e09\uff1a\u5728\u8a31\u591a\u6587\u737b\u4e2d\uff0c\u4ee3\u6578\u5b78\u4e4b\u7236\u9019\u500b\u982d\u929c\u7531\u82b1\u62c9\u5b50\u7c73\u8207\u53e4\u5e0c\u81d8\u6578\u5b78\u5bb6\u4e1f\u756a\u5716(Diophantus)\u5171\u4eab\u3002\u4e8b\u5be6\u4e0a\uff0c\u4e1f\u756a\u5716\u548c\u5a46\u7f85\u6469\u7b08\u591a\u4e00\u6a23\uff0c\u50c5\u5c07\u65b9\u7a0b\u5f0f\u7576\u4f5c\u89e3\u984c\u7684\u5de5\u5177\u3002<\/p>\n<p>\u8a3b\u56db\uff1a\u5728\u300a\u79fb\u9805\u8207\u6d88\u53bb\u300b\u9019\u672c\u66f8\u4e2d\uff0c\u82b1\u62c9\u5b50\u7c73\u50c5\u50c5\u63a2\u8a0e\u300c\u6709\u6b63\u6578\u89e3\u300d\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5f0f\uff0c\u56e0\u70ba\u7576\u6642\u4f0a\u65af\u862d\u6578\u5b78\u5bb6\u8a8d\u70ba\u300c\u8ca0\u6578\u89e3\u300d\u4e26\u6c92\u6709(\u5e7e\u4f55)\u610f\u7fa9\uff0c\u800c\u8907\u6578\u7684\u51fa\u73fe\u5247\u662f\u5e7e\u767e\u5e74\u5f8c\u7684\u4e8b\u3002<\/p>\n<p>\u8a3b\u4e94\uff1a\u5728\u897f\u65b9\u6587\u737b\u4e2d\uff0c\u8a31\u591a\u4f0a\u65af\u862d\u5b78\u8005\u7684\u540d\u5b57\u90fd\u6709\u5169\u7a2e\u5beb\u6cd5\uff0c\u4e00\u662f\u76f4\u63a5\u8f49\u5beb\u81ea\u963f\u62c9\u4f2f\u6587\uff0c\u4e8c\u662f\u8f49\u5316\u70ba\u767c\u97f3\u985e\u4f3c\u7684\u62c9\u4e01\u540d\u5b57\u3002\u6b63\u5982Matteo Ricci\u9019\u500b\u540d\u5b57\u82e5\u8b6f\u6210\u4e2d\u6587\uff0c\u53ef\u4ee5\u662f\u300c\u99ac\u6cf0\u5967\u2027\u91cc\u5947\u300d\uff0c\u4e5f\u53ef\u4ee5\u662f\u300c\u5229\u746a\u7ac7\u300d\u3002<\/p>\n<p>\u8a3b\u516d\uff1a\u300c\u82b1\u62c9\u5b50\u6a21\u300d\u8207\u300c\u82b1\u62c9\u5b50\u7c73\u300d\u4e5f\u8b6f\u70ba\u300c\u82b1\u524c\u5b50\u6a21\u300d\u8207\u300c\u82b1\u62c9\u5b50\u5bc6\u300d\u3002\u82b1\u62c9\u5b50\u7c73\u7684\u963f\u62c9\u4f2f\u6587\u5168\u540d\u662fMuhammad ibn Musa al-Khwarizmi, \u5176\u4e2dibn\u4e00\u822c\u4f86\u8aaa\u610f\u6307\u67d0\u4eba\u4e4b\u5b50\uff0c\u4ea6\u5373Musa\u662f\u82b1\u62c9\u5b50\u7c73\u7684\u7236\u89aa(\u4f46\u4e5f\u6709\u53ef\u80fd\u662f\u67d0\u4f4d\u91cd\u8981\u7684\u7956\u5148)\u3002<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/line.me\/R\/ti\/p\/%40fcx6182w\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/scdn.line-apps.com\/n\/line_add_friends\/btn\/zh-Hant.png\" alt=\"\u52a0\u5165\u597d\u53cb\" width=\"212\" height=\"36\" border=\"0\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u300c\u667a\u6167\u5bae\u300d\u7684\u524d\u8eab\u662f\u570b\u5bb6\u5716\u66f8\u9928\uff0c\u85cf\u66f8\u81ea\u7136\u5341\u5206\u8c50\u5bcc\uff0c\u4e0d\u4f46\u6709\u4f86\u81ea\u4e16\u754c\u5404\u5730\u7684\u7d93\u5178\u540d\u8457\uff0c\u800c\u4e14\u90fd\u6709\u963f\u62c9\u4f2f\u6587\u8b6f\u672c\u3002\u5728\u9019\u7a2e\u5f97\u5929\u7368\u539a\u7684\u6a5f\u7de3\u4e0b\uff0c\u82b1\u62c9\u5b50\u7c73\u5f97\u4ee5\u540c\u6642\u63a5\u89f8\u5169\u7a2e\u98a8\u683c\u8fe5\u7570\u7684\u6578\u5b78\u6587\u5316\u2500\u2500\u504f\u91cd\u908f\u8f2f\u8207\u5e7e\u4f55\u7684\u5e0c\u81d8\u6578\u5b78\uff0c\u4ee5\u53ca\u504f\u91cd\u8a08\u7b97\u8207\u7b26\u865f\u7684\u5370\u5ea6\u6578\u5b78\u3002<\/p>\n","protected":false},"author":20,"featured_media":28356,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3112,3293],"tags":[3022,3446,613,3445],"aioseo_notices":[],"jetpack_featured_media_url":"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2016\/06\/26-2.jpg","_links":{"self":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/28331"}],"collection":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/users\/20"}],"replies":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=28331"}],"version-history":[{"count":4,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/28331\/revisions"}],"predecessor-version":[{"id":31774,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/28331\/revisions\/31774"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/media\/28356"}],"wp:attachment":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=28331"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=28331"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=28331"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}