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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 ¸½Â¼Ò» ÊØÍûÁé»ê¡ª¡ª±Ï´ï¸çÀ­Ë¹µÄÐÂÉú»î֮· ¸½Â¼¶þ ±à¼­ÊÖ¼Ç