Fundamentals of Euclidean Plane Geometry

  • Daniel Rosenthal
  • David Rosenthal
  • Peter Rosenthal
Part of the Undergraduate Texts in Mathematics book series (UTM)


We describe the fundamentals of Euclidean geometry of the plane. We develop the concepts of congruence and similarity of triangles, and, in particular, prove that corresponding sides of similar triangles are in proportion. We also present a proof of the Pythagorean Theorem.

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Daniel Rosenthal
    • 1
  • David Rosenthal
    • 2
  • Peter Rosenthal
    • 3
  1. 1.TorontoCanada
  2. 2.Department of Mathematics and Computer ScienceSt. John’s UniversityQueensUSA
  3. 3.Department of MathematicsUniversity of TorontoTorontoCanada

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