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《分角尺》与“尺规”作图的异同

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leeys 發表於 2018-6-19 08:52:25 | 顯示全部樓層 |閱讀模式

管理員|主題 |帖子 |積分 8883

《分角尺》与“尺规”作图的异同
   
   科学的价值在于解决问题,让千百万人学会用简单的工具、方法去解决社会公认的复杂而普遍的难题,这就是科学价值最高境界。
   三千多年以来,几何作图共有三种形式:
1、用圆规和直尺(没有刻度)作图——即利用圆和直线作图;
2、用圆规和直尺(没有刻度)同时借助于各种曲线(双曲线、螺线、蚶线、螃线、抛物线等)作图——即利用‘圆、直线和曲线’作图(如,作任意角三等分,但是,其结果是近似作图法);
3、用圆规和“二刻尺”作图;“二刻尺”是有公分刻度直尺,作图时将定长的线段或圆半径长度用笔在该尺上做二个记号点;(如作任意角三等分、正七边形);
   
   三千多年以来传统的几何作图工具有“圆规、直尺、二刻尺、二把直角三角尺和量角器”共六件工具,均属于外国人原创。值得一提,没有一件工具能独立完成几何作图。  
而《分角尺》只是在普通直尺中加几组“十字线”没有任何其它装置,即能:
1、集多种作图工具之精华,大大简化几何作图步骤,无需圆规等其他工具,也不用‘圆、曲线’作图。
2、只用直线作图的《分角尺》就能“以一胜六”独立完成以上传统的几何作图课题。而且,比“尺规”作图简单、方便、精确。
3、一把《分角尺》(无需圆规) 还能独立完成被西方数学家判定为尺规不可解的七大几何死题:“任意角三等分、倍立方、圆化方、正7、9、11、13边形”。《分角尺》以几何方法作图胜过电脑的近似作图法。
   4、《分角尺》可作“普通直尺、无刻度直尺、二把直角三角尺或二刻尺之用”完成传统的“尺规”作图课程;
   5、只用一把《分角尺》(无需圆规)就能独立完成几何作图课程。
6、《分角尺》为中民族取得了传统“作图与检验”工具“0”的夺破。


                        
                       《分角尺》教研中心 崔荣琰
                 2018-06-14
http://www.mtedu.utaipei.edu.tw/forum.php?mod=viewthread&tid=3225
http://www.mtedu.utaipei.edu.tw/forum.php?mod=viewthread&tid=2317
http://www.mtedu.utaipei.edu.tw/data/attachment/forum/201601/04/150554kd3uaf1dq2esss56.jpg


数学界的胡说八道作者:不详 阅读:2885 次 时间:4/10/2018 来源:Model-Olympic 新闻网


                    数学界的胡说八道
                          (中英文)


        世界数学史上有,用直尺(无刻度)和圆规不可解的四大几何难题:三等分任意角、化圆为方、做2倍立方体和做正十七边形。法兰西科学院曾在1775年宣布前三题无解,今后拒绝再审查和接受相关解答,并放弃对这三个数学题的悬赏。


        1801年德国数学家高斯宣称 “作正7、9、11、13边形” 为尺规不可解的“死题”!


        1837年法国数学家闻脱兹尔宣称“任意角三等分,倍立方体为”尺规不可解“死题”!


        1882年德国数学家林德曼宣称“化圆为方”为尺规不可解“死题”!


        以上三位,是宣称相关的七大难题“无解”第一人!当然的“无解”专家。


        而阿基米德、牛顿、高斯、笛卡尔、迦罗华等世界一流数学家均拿起尺规挑战过“任意角三等分”,最终不得其解!但都没提出“无解”的定论!


        2006年7月,“分角尺作图”创始人崔荣琰宣称七大死题有解!境内外一百多家传媒报道,告示天下。是宣称七大死题“有解”第一人!当然的“有解”专家。


        2007年7月,崔荣琰 著《3800年七大数学死题破解》中英文版由香港新大陆出版社出版;哈佛、斯坦福、剑桥、牛津、耶鲁、莫斯科、哥本哈根、东京、慕尼黑、苏黎世、多伦多、台湾、香港、北大、复旦、同济、交大、财大、华师大、上师大、南开、浙大、山东等国内外名校,中国国家图书馆及上海、北京、天津、南京、南昌、杭州、济南、广州、南通、海门等城市图书馆均有收藏,并公开对外借阅。


       十多年来,没有任何人对书中解实提出异议。按照国际惯例,崔荣琰再次赢得世界“七大死题”有解第一人!这是人类数学史上从没有过的颠覆性成就!中国人再次让世界获得了经典与光荣。


        如今,众多中学生,用一把无刻度直尺(无需圆规)按照1、2、3框架法,作“任意角三等分” 有解了,作任意角 5、6、7、9、10、11、12、13、14、15、17等众多的等分,也平反昭雪、有解了! “作正7、9、11、13边形” 有解了,作正14、15、18、19、20、21、22等众多的正多边形,总算盼到重见天日,有解了!不会再被沉睡三千年了。


        按照辩证法,“无解与有解” 两者之间必定有人在胡说八道!是谁呢?!


        三百年来,中国数学家、号称数学家有几百、几千、几万人,但是没有一位是宣称“无解”的专家!更没有一位拥有自已理论宣称“无解”,或“有解”的专家!遗憾的是,只有信徒、粉丝、吹鼓手。宣扬:任意角三等分是不可能的,好像步行上月球;借用‘’笛卡尔、伽罗华‘’的理论推理说“无解”;奇怪的是“笛卡尔、迦罗华”本人都没提出过“无解”定论;照搬西方老掉牙的“无解”理论编人“数学词典”、“科普杂志”等。严重影响了几代青年人执着正直、探索求真、创新发展的人格使命。


        七大死题“有解”第一人崔荣琰认为,用完整的事实说话;再好的理论也不能用错地方!用后天发现的有限的一些“已知”去推理没有被发现的先天的“无知”,并说“无知是无解”的!这是不负责任的无知。任意角可以作三倍角,怎么就不能作三等分呢?“三倍角与三等分”是互为逆运祘的验证关系,事物的重合就是全等!作三倍角没问题,作三等分就不可能了?这不合逻辑!难道拟求作的“两条角边”飞月球了、不在纸上?难道还要沉睡三千年“无解”吗?真是莫名其妙,胡说八道!


        感谢发布“无解”的西方数学家,感谢全球数学界的“无解”共识及欧几里德“无解”公理,把“有解”机会搁置了近三百年,留给了一个再平凡不过的中国人崔荣琰——执着、不负众望,在多位上海市专家领导及境内外方方面面大力支持下,十年磨一剑,终于圆了全球数学家的“有解”梦!


        值得一提,崔荣琰原创的《分角尺》几何作图(无需圆规),KO了尺规作图,KO了电脑近似作图法,破解了“七大数学死题”,荣获了第16届中国星火杯创造发明竞赛一等奖(已申报中国国家科学技术最高奖)。特别是,打破了落后时代的“尺规作图”单一模式,开创了《分角尺》作图新天地。为中华民族取得了传统作图与检验工具“零”夺破,成为天下无敌的世界第一尺!不愧为中华民族第五大发明!


        这是多么令人鼓舞的正能量!世界一流科技成果《分角尺》作图进学校入课堂,数学基础理论的重大夺破,为人类社会的发展、文明、进步不断输送源动力。世界新一轮科技腾飞,必将从中华大地首发、启程、升空,中华民族伟大复兴指日可待!
                                    
The nonsense of the mathematical world


In the history of the world's mathematics, there are four geometric puzzles: "Rulers (no scale) and compasses are not solvable," three equal arbitrary angle, the round is square, do twice times cube and do positive 17 side shape.


In 1775, the French Academy of Sciences declared no solution to the first three questions, refused to review and accept the relevant answers, and gave up the reward for the three math questions.


1801, the German mathematician Gauss declared that "make positive 7, 9, 11, 13 edge shape" as the ruler of the "dead problem" is not solvable!


1837 French mathematician heard that the "arbitrary corner of the three equal, the cube as" ruler rules can not solve the "dead problem"!


1882 German mathematician Linderman claimed that "the circle of the square" as ruler rules can not solve the "dead problem"! The above three, is claiming the seven major problems related to "no solution" first person!


Of course, "no solution" experts. And Archimedes, Newton, Gauss, Descartes, Garowa and other world-class mathematicians have to take up the ruler to challenge the "arbitrary corner of the three equal parts", ultimately not its solution!


    But have not put forward "no solution" of the verdict! July 2006, "Divided square mapping" founder Tri Rong declared seven dead problem has solution! More than 100 domestic and foreign media reports, notices the world. It's the first person to declare the seven dead questions.


    Of course, "There are solutions" experts. July 2007, Tri Rong the "3800 Seven mathematical Death problem crack" in English version by the New World Press of Hong Kong published; Harvard, Stanford, Cambridge, Oxford, Yale, Moscow, Copenhagen, Tokyo, Munich, Zurich, Toronto, Taiwan, Hong Kong, Beida, Fudan, Tongji, Jiaotong University, Finance, China Normal University,


    Top Normal University, Nankai, Zhejiang, Shandong and other famous schools at home and abroad, China's National Library and Shanghai, Beijing, Tianjin, Nanjing, Nanchang, Hangzhou, Jinan, Guangzhou, Nantong, Haimen and other urban libraries have collections, and public borrowing. For more than 10 years, no one has challenged the Jie Shi in the book. In accordance with international practice, Tri Rong once again won the world "seven big dead Problem" have solution first person! This is the history of human mathematics has never been a subversive achievement!


    The Chinese have once again made the world a classic and glorious. Today, many middle school students, with a ruler without a tick (without compasses) in accordance with 1, 2, 3 frame method, make "arbitrary angle three equal" has solution, make arbitrary angle 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 17, etc. many equal, also vindicate righted, have solution! "For positive 7, 9, 11, 13-side shape" has solved, as is 14, 15, 18, 19, 20, 21, 22, and many other polygon, finally look forward to the next, there is a solution!


    Won't be sleeping for 3,000 years. According to Dialectics, there must be some nonsense between "no solution and one solution".


    Who is it? For more than 300 years, Chinese mathematicians, known as mathematicians, had hundreds of, thousands of and tens of thousands of people, but none was an expert who declared no solution. There is no one who has an own theory that says "no solution" or "has solutions"! Sadly, only believers, fans, trumpeter. Airs: It is impossible to divide the three halves of any corner, as if walking on the moon; borrowing ' Descartes, the Theory of "MabThera" is "no solution", and the strange thing is that "Descartes and Garowa" have not put forward the conclusion of "no solution", and copied the old "no solution" theory of the Western People "Mathematical Dictionary", "Popular Science magazine" and so on.


Has seriously affected several generations of young people persistent integrity, exploration of truth, innovation and development of the personality mission. The first person of the seven dead questions "have solution" Tri Rong think, with complete facts to speak; No good theory can use the wrong place! With a limited number of "known" discovered to infer the innate "ignorance", and said "ignorance is no solution"! It is irresponsible ignorance. Any angle can be three times times the angle, how can not make three equal? "Three times-fold angle and three equal" is the reciprocal schedules of the verification relationship, things overlap is congruent! It's not a problem to make a three times-fold angle. It's illogical! Is the proposed "two corners" flying on the Moon, not on paper? Do you have to sleep for 3,000 years without a solution?


This is ridiculous, nonsense! Thanks to the "no solution" of the western mathematicians, thanks to the global mathematical community "no solution" consensus and Euclid "no Solution" axiom, the opportunity to "have solution" shelved for nearly 300 years, leaving a Tri Rong of the ordinary Chinese people-persistent, live up to expectations, in a number of Shanghai expert leadership and all aspects of strong support,


    Ten years of grinding a sword, and finally round the global mathematician's "Have Solution" dream! It is worth mentioning that Tri Rong original "square" geometry mapping (without compasses), Ko ruler gauge mapping, KO computer Approximate mapping method, cracked the "Seven mathematical Death Problem", won the 16th session of China Spark Cup invention Competition first prize (has declared China's National Science and Technology Award). In particular, broke the backward era of "ruler gauge mapping" single mode, creating a "square" mapping New World. For the Chinese nation has made the traditional drawing and testing tools "0" to break, become invincible world's first foot!


    Worthy of the fifth great invention of the Chinese nation! What an encouraging positive energy! World-class scientific and technological achievements "Square" into the school into the classroom, the fundamental theory of mathematics to break, for the development of human society, civilization, progress continue to transport the source of power.


    The world's new round of scientific and technological take-off, will start from the Chinese Earth, departure, launch, the great rejuvenation of the Chinese nation is around the corner!


April 9, 2018


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