Euclid’s Geometry

  • Robin Hartshorne
Part of the Undergraduate Texts in Mathematics book series (UTM)


In this chapter we create a common experience by reading portions of Euclid’s Elements. We discuss the nature of proof in geometry. We introduce a particular way of recording ruler and compass constructions so that we can measure their complexity. We discuss what are presumably familiar notions from high school geometry as it is taught today. And then we present Euclid’s construction of the regular pentagon and discuss its proof.


Common Notion Similar Triangle Angle Bisector Regular Pentagon Equal Content 
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Copyright information

© Robin Hartshorne 2000

Authors and Affiliations

  • Robin Hartshorne
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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