挑战思维极限:勾股定理的365种证明 (The Ultimate Intellectual Challenge: 365 PROOF OF Gou Gu Theorem (Phythagoras Theorem)) ISBN: 9787302458791

2018 March 16 0 By Tomas 黃炎
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古中醫學會圖書館藏書 Ancient Balance Medicine Association Library Collection 

目录
第1章分块法
1.1分块对应法
1.2镶嵌法
1.3十字分块法
第2章割补法
第3章搭桥法
第4章“化积为方”法
第5章等积变换法
第6章拼摆法
第7章增积法
第8章消去法
8.1倍积法
8.2面积比例法
第9章同积法
第10章射影法
10.1作斜边垂线的证法
10.2作直角边垂线的证法
第11章长度法
第12章方程法
第13章平方差法
第14章辅助圆法
第15章相似转化法
第16章间接证法
16.1反证法
16.2同一法
第17章解析法
17.1坐标法
17.2参数法
17.3三角函数法
第18章特例法
第19章泛化法
附录A证法出处汇总
附录B勾股定理的365种证明有用吗？
参考文献
后记

table of Contents
Chapter 1 Blocking
1.1 block correspondence method
1.2 Mosaic method
1.3 Cross block method
Chapter 2 Cant Method
Chapter 3 Bridge Method
Chapter 4 “Method of Formulating Products”
Chapter 5 Equal product transformation
Chapter 6 Plunging
Chapter 7 Accumulation
Chapter 8 Elimination
8.1 multiple product method
8.2 area ratio method
Chapter 9 Synchronous Method
Chapter 10 Projective Method
10.1 Proof of oblique vertical lines
10.2 Proof of Vertical Lines
Chapter 11 Length Method
Chapter 12 Equation Method
Chapter 13 Square Difference Method
Chapter 14 Auxiliary Circle Method
Chapter 15 Similar Transformations
Chapter 16 Indirect Proof
16.1 Anti-evidence
16.2 The same method
Chapter 17 Analysis
17.1 coordinate method
17.2 Parameter Method
17.3 Trigonometric Functions
Chapter 18 Special Cases Act
Chapter 19 Generalization
Appendix A proof of the source summary
Is the 365 kinds of proofs of Appendix B Pythagorean Theorem helpful?
references
postscript

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"When I was about eight, I decided that the most wonderful thing, next to a human being, was a book." - Margaret Walker

((The Ultimate Intellectual Challenge: 365 PROOF OF Gou Gu Theorem (Phythagoras Theorem)) 挑战思维极限:勾股定理的365种证明

Author: 李迈新
Pages: 248
Genre(s): Mathematics 數學 道象理數 算術
Publisher: 清华大学出版社
Subject:
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Publication Year: 2016
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Finished? No
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Description
目录 第1章分块法 1.1分块对应法 1.2镶嵌法 1.3十字分块法 第2章割补法 第3章搭桥法 第4章“化积为方”法 第5章等积变换法 第6章拼摆法 第7章增积法 第8章消去法 8.1倍积法 8.2面积比例法 第9章同积法 第10章射影法 10.1作斜边垂线的证法 10.2作直角边垂线的证法 第11章长度法 第12章方程法 第13章平方差法 第14章辅助圆法 第15章相似转化法 第16章间接证法 16.1反证法 16.2同一法 第17章解析法 17.1坐标法 17.2参数法 17.3三角函数法 第18章特例法 第19章泛化法 附录A证法出处汇总 附录B勾股定理的365种证明有用吗？ 参考文献 后记 table of Contents Chapter 1 Blocking 1.1 block correspondence method 1.2 Mosaic method 1.3 Cross block method Chapter 2 Cant Method Chapter 3 Bridge Method Chapter 4 “Method of Formulating Products” Chapter 5 Equal product transformation Chapter 6 Plunging Chapter 7 Accumulation Chapter 8 Elimination 8.1 multiple product method 8.2 area ratio method Chapter 9 Synchronous Method Chapter 10 Projective Method 10.1 Proof of oblique vertical lines 10.2 Proof of Vertical Lines Chapter 11 Length Method Chapter 12 Equation Method Chapter 13 Square Difference Method Chapter 14 Auxiliary Circle Method Chapter 15 Similar Transformations Chapter 16 Indirect Proof 16.1 Anti-evidence 16.2 The same method Chapter 17 Analysis 17.1 coordinate method 17.2 Parameter Method 17.3 Trigonometric Functions Chapter 18 Special Cases Act Chapter 19 Generalization Appendix A proof of the source summary Is the 365 kinds of proofs of Appendix B Pythagorean Theorem helpful? references postscript
Notes
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CategoryBooks of Wisdom 書中智慧 ISBN Books 印刷書籍 WPBookList Book Post 太極明理 Taichi (體)– 分別心 Differentiation，分辨，概念 concept，新創 creation (Scientific Theory 科學理論)
TagsGou Gu Theorem 勾股定理 (Phythagoras Theorem) Mathematics 數學 道象理數 算術 Science and Civilization in China 中國科學技術史

About The Author

| Research Engineer, Health Educator. 研發工程師，養生教育工作者. | |-Bachelor of Medicine in Traditional Chinese Medicine – General Practice and TCM R&D |-Master of Engineering in Telecommunications – A Packet discarding strategy in Asynchronous transfer Mode ATM data network – Queuing theory |-Bachelor of engineering in Information Technology with First class honour - AI Machine Learning in electrical fault diagnostic networks |-Thesis Proposal for potential supervisor in Mathematics: Ethical AI Systems - Harmonizing Autonomy and Communal Responsibility | ===== Research Interest ===== | |Confucianism – Buddhism – Taoism – Traditional Chinese Medicine TCM 儒釋道醫 | Five Virtues of Confucius: Humanity-Justice-Etiquette-Wisdom-Trust 儒家五常：仁義禮智信 | Buddhism Five aggregates systems of human mind 釋j家五蘊系統 | Taoism Taichi Yin-Yang Five Elements Trinity i±1 System 道家陰陽五行天地人系統 | Traditional Chinese Medicine TCM differential diagnosis-cure process 中醫辨證論治系統, | Five Elements Systemic Healthcare Mental-Emotional-Physical-Behavoural-Spiritual 五行健康系統養生-養性-修心-修身-修行-靈修 | Integral East-West Systems Thinking 融合東西方系統思維 | Ethical AI Systems 倫理人工智能系統 | Five-elements Society System EMSCE 五行社會系統: Economics-Management-Social-Cultural-Environmental 經濟-管理-社會-文化-環境, | https://gravatar.com/edu1a1a10c906ec |

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