YLL討論網

#ed_op#DIV#ed_cl##ed_op#H3 class=title#ed_cl#高斯的正十七邊形#ed_op#/H3#ed_cl##ed_op#DIV class=innertext#ed_cl##ed_op#P#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體; mso-ascii-font-family: Arial; mso-hansi-font-family: Arial; mso-bidi-font-family: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#一七九六年的一天，德國哥延根大學，一個很有數學天賦的十九歲青年吃完晚飯，開始做導師單獨給他的每天例行的三道數學題。#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-fareast-font-family: 新細明體"#ed_cl##ed_op#BR#ed_cl##ed_op#BR#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體; mso-ascii-font-family: Arial; mso-hansi-font-family: Arial; mso-bidi-font-family: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#前兩道題在兩個小時內就順利完成了。笫三道題寫在另一張小紙#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-fareast-font-family: 新細明體"#ed_cl#p#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體; mso-ascii-font-family: Arial; mso-hansi-font-family: Arial; mso-bidi-font-family: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#條上：要求只用圓規和一把沒有刻度的直尺，畫出一個正十七邊形。#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-fareast-font-family: 新細明體"#ed_cl##ed_op#BR#ed_cl##ed_op#BR#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體; mso-ascii-font-family: Arial; mso-hansi-font-family: Arial; mso-bidi-font-family: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#他感到非常吃力。時間一分一秒地過去了，笫三道題竟毫無進展。這位青年絞盡腦汁，但他發現，自已學過的所有數學知識似乎對解開這道題都沒有任何幫助。#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-fareast-font-family: 新細明體"#ed_cl##ed_op#BR#ed_cl##ed_op#BR#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體; mso-ascii-font-family: Arial; mso-hansi-font-family: Arial; mso-bidi-font-family: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#困難反而繳起了他的鬥志：我一定要把它做出來！他拿起圓規和直尺，他一邊思索一邊在紙上畫著，嘗試著用一些超常規的思路去尋求答案。#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-fareast-font-family: 新細明體"#ed_cl##ed_op#BR#ed_cl##ed_op#BR#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體; mso-ascii-font-family: Arial; mso-hansi-font-family: Arial; mso-bidi-font-family: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#當窗口露出曙光時，青年長舒了一口氣，他終於完成了這道難題。#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-fareast-font-family: 新細明體"#ed_cl##ed_op#BR#ed_cl##ed_op#BR#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體; mso-ascii-font-family: Arial; mso-hansi-font-family: Arial; mso-bidi-font-family: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#見到導師時，青年有些內疚和自責。他對導師說：「您給我的笫三道題，我竟然做了整整一個通宵，我辜負了您對我的哉培#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-fareast-font-family: 新細明體"#ed_cl#……#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體; mso-ascii-font-family: Arial; mso-hansi-font-family: Arial; mso-bidi-font-family: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#」#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-fareast-font-family: 新細明體"#ed_cl##ed_op#BR#ed_cl##ed_op#BR#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體; mso-ascii-font-family: Arial; mso-hansi-font-family: Arial; mso-bidi-font-family: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#導師接過學生的作業一看，當即驚呆了。他用顫抖的聲音對青年說：「這是你自已做出來的嗎？」青年有些疑惑地看著導師，回答道：「是我做的。但是，我花了整整一個通宵。」#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-fareast-font-family: 新細明體"#ed_cl##ed_op#BR#ed_cl##ed_op#BR#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體; mso-ascii-font-family: Arial; mso-hansi-font-family: Arial; mso-bidi-font-family: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#導師請他坐下，取出圓規和直尺，在書桌上鋪開紙，讓他當著自已的面再做出一個正十七邊形。#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-fareast-font-family: 新細明體"#ed_cl##ed_op#BR#ed_cl##ed_op#BR#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體; mso-ascii-font-family: Arial; mso-hansi-font-family: Arial; mso-bidi-font-family: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#青年很快做出一個正十七邊形。導師激動地對他說：「你知不知道？你解開了一椿有兩千多年的數學懸案！阿基米德沒有解決，牛頓也沒有解決，你竟然一個晚上就解出來了。你是一個真正的天才！」#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-fareast-font-family: 新細明體"#ed_cl##ed_op#BR#ed_cl##ed_op#BR#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體; mso-ascii-font-family: Arial; mso-hansi-font-family: Arial; mso-bidi-font-family: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#原來，導師也一直想解開這道難題。那天，他是因為失誤，才將寫有這道題目的紙條交給了學生。#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-fareast-font-family: 新細明體"#ed_cl##ed_op#BR#ed_cl##ed_op#BR#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體; mso-ascii-font-family: Arial; mso-hansi-font-family: Arial; mso-bidi-font-family: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#每當這位青年回憶起這一幕時，總是說：「如果有人告訴我，這是一道有兩千多年歷史的數學難題，我可能永遠也沒有信心將它解出來。#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-fareast-font-family: 新細明體"#ed_cl##ed_op#BR#ed_cl##ed_op#BR#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體; mso-ascii-font-family: Arial; mso-hansi-font-family: Arial; mso-bidi-font-family: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#這位青年就是數學王子高斯。#ed_op#/SPAN#ed_cl##ed_op#BR#ed_cl##ed_op#BR#ed_cl#========================== #ed_op#IMG alt="" src="http://pic.wretch.cc/icon/blog/smiley/msn/lightbulb.gif"#ed_cl# ==========================#ed_op#BR#ed_cl##ed_op#BR#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: #339966; FONT-FAMILY: 新細明體; mso-ascii-font-family: Arial; mso-hansi-font-family: Arial; mso-bidi-font-family: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#有些事情，在不清楚它到底有多難時，我自往往能夠做得更好！#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: #339966; FONT-FAMILY: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-fareast-font-family: 新細明體"#ed_cl##ed_op#BR#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: #339966; FONT-FAMILY: 新細明體; mso-ascii-font-family: Arial; mso-hansi-font-family: Arial; mso-bidi-font-family: Arial; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#由此看來，直正的困難並不是困難本身，而是我們對困難的畏懼。#ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#/DIV#ed_cl##ed_op#/DIV#ed_cl#