TY  - BOOK
AU  - David M. Clark 
TI  - Euclidean geometry
T2  - MSRI Mathematical Circles Library
SN  - 978-0-8218-8985-5
AV  - QA451 
PY  - 2012///]
CY  - Rhode Island
PB  - American Mathematical Society
KW  - Mathematics
N1  - 1. Plane geometry
2. Contents
3. Acknowledgments
4. Preface
5. Introduction to the student
6. Congruent figures
7. Axioms, theorems and proofs
8. Area measure
9. Angle measure
10. Similar figures
11. Trigonometric ratios
12. Circle measure
13. Perspective geometry
14. The axioms
15. Guidelines for the instructor
16. Hilbert’s axioms

N2  - Geometry has been an essential element in the study of mathematics since antiquity. Traditionally, we have also learned formal reasoning by studying Euclidean geometry. In this book, David Clark develops a modern axiomatic approach to this ancient subject, both in content and presentation.

Mathematically, Clark has chosen a new set of axioms that draw on a modern understanding of set theory and logic, the real number continuum and measure theory, none of which were available in Euclid's time. The result is a development of the standard content of Euclidean geometry with the mathematical precision of Hilbert's foundations of geometry. In particular, the book covers all the topics listed in the Common Core State Standards for high school synthetic geometry. --- summary provided by publisher
ER  -