Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Rosenthal, D., Rosenthal, D., Rosenthal, P. (2018). Fundamentals of Euclidean Plane Geometry. In: A Readable Introduction to Real Mathematics. Undergraduate Texts in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-00632-7_11
Download citation
DOI: https://doi.org/10.1007/978-3-030-00632-7_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-00631-0
Online ISBN: 978-3-030-00632-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)