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Hashemite
University
Euclidean Geometry
Faculty of Science
Pre-requisite: No
Department of
Mathematics
Second Semester
2014/2015
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(101261)
3 Credit Hours
Course Syllabus
Course Information
Euclidean Geometry
101261
3 Hours
One semester
No prerequisite
Dr. Ramzi Albadarneh
IT, the first Floor, office number 121
+962(05)3903333 - 4495
[email protected]
Text Book
EUCLIDEAN and NON –EUCLIDEAN GEOMETRIES
Marvin Jay
W. H. Freeman and Company, New York Greenberg.
1994
Third Edition
1) ADVANCED EUCLIDEAN GEOMETRY, BY ROGER A.
JOHNSON, Under the Editorship of John Wesley
Young.
2) Euclidean and Non-Euclidean Geometries, Informal
Lecture Notes By Mowaffaq Hajja, 2010.
First Exam
Second Exam
Final Exam
3) H. S. M. Coxeter “ Non – Euclidean Geometry (1965 ).
4) Roads To geometry ( Third Edition ) ( 2004 ) By: E. C.
Wallace & S. F. West.
Grading plan
30 %
30 %
40 %
Course Objectives
To study axiomatic system, Euclidean geometry as an axiomatic system and to study some important
theorem in Euclidean geometry and finally we study an example of non Euclidean geometry.
Teaching and Learning Methods
Solving problems with discussion.
Course Contents
Topics
Axiomatic Methods
Methods of proof
Survey of the origins of geometry, Euclid's
postulates, the parallel postulate and discussion of its attempted proofs
Incidence geometry
Models
Isomorphism of models
Hilrebert's Axioms
The Betweenness Axioms and propositions
First Exam
The Congruence Axioms and propositions
The Continuity Axioms and propositions
Axiom of parallelism
Neutral Geometry
Geometry without the parallel axiom
Alternate interior angle theorem
Exterior angle theorem
Second Exam
Measure of angles and segments
Saccheri-Legendre theorem
Equivalence of parallel postulates
Angle sum of a triangle
Circle
Final Exam