毕达哥拉斯定理

基本介绍

作者: [美] E.S.鲁姆斯
出版社: 哈尔滨工业大学出版社
出版年: 2021-1
页数: 274
定价: 38.00
装帧: 平装
ISBN: 9787560359939

书本简介

本书是鲁姆斯教授精心编写的关于毕达哥拉斯定理的精典书籍，书中提出了三百余种证明毕达哥拉斯定理的方法，被誉为“数学教育的精典”。

本书适合初高中师生及数学爱好者参考阅读。

作者简介

E.S.鲁姆斯，was professor of mathematics at Baldwin University for the period 1885 ~ 1895 and head of the mathematics department at West High School, Cleveland, Ohio, for the period 1895 - 1923. At the time when this second edition was published, in 1940, he was professor emeritus of mathematics at Baldwin-Wallace College.

目录

The Pythagorean Proposition
Brief Biographical Information Concerning Pythagoras
Supplementary Historical Data
The Pythagorean Theorem from an Arithmetico-Algebraic Point of View
Rules for Finding Integral Values for a, b and h
Methods of Proof
I. Algebraic Proofs Through Linear Relations
A. Similar Right Triangles
B. The Mean Proportional Principle
C. The Circle in Connection with the Right Triangle
(I) Through the Use of One Circle
(II) Through the Use of Two Circles
D. Through the Ratio of Areas
E. Algebraic Proof Through Theory of Limits
F. Algebraic-Geometric Proofs
G. Algebraic-Geometric Proofs through Similar Polygons other thanSquares
II. Geometric Proofs
A-Type. All Three sq's const'd Exterior
B-Type. The h-square const'd Interior
C-Type. The b-square const'd Interior
D-Type. The a-square const'd Interior
E-Type. The h-and b-sq's const'd Interior
F-Type. The h-and a-sq's const'd Interior
G-Type. The a-and b-sq's const'd Interior
H-Type. All three sq's const'd interior
I-Type. One or More Squares Translated, Giving 7 Classes Covering 19 Differenl Cases
J-Type. One or More Squares not Graphically Represented--Two Sub-types
No Trigonometric Proofs
III. Quaternionic Proofs
IV. Dynamic Proofs
The Pythagorean Curiosity
Pythagorean Magic Squares
Addenda
This Famous Theorem, in Mathematical Literature
Some Noted Proofs
They Came to Me from Everywhere
Testimonials
附录一 守望灵魂——毕达哥拉斯的新生活之路
附录二
编辑手记

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