The Theorem of Pythagoras

  • John Stillwell
Part of the Undergraduate Texts in Mathematics book series (UTM)


If there is one theorem that is familiar to all mathematically educated people, it is surely the theorem of Pythagoras. It will probably be recalled as a property of right-angled triangles: the square of the hypotenuse equals the sum of the squares of the other two sides (Fig. 1.1). The “sum” is of course the sum of areas and the area of a square of side l is l 2, which is why we call it “l squared.


Rational Point Rational Solution Integer Solution Geometric Assumption Arithmetical Fact 
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Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • John Stillwell
    • 1
  1. 1.Department of MathematicsMonash UniversityClaytonAustralia

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