School of Science - Department of Mathematics

( 0331261 Modern Euclidean Geometry)

• Course Description :Axiomatic systems: consistency, independence and completeness, finite projective geometry, a brief critique of Euclid, the postulates of connection, the measurement of distance, ruler postulate, order relations, plane-separation postulate, space-separation theorem, angles and angle measurement, protractor postulate, further properties of angles, triangles and polygons, congruence postulate, parallel postulate, similarity, Pythagorean theorem, theorems of Ceva and Menelous, Morley’s theorem, Erdös-Mordell theorem, circles, central and inscribed angles, cyclic quadrilaterals, Simson line, nine point circle, lines and planes in space.            
• Pre Request :
• Credit Hour :
• Department : Mathematics
• Program :
• Course Level :Bachelor
• Course Outline :

  Syllabus 0331261.pdf