MODERN SYNTHETIC GEOMETRY VERSUS EUCLID

Euclid ' S Geometry

Remarks on Modern Track Geometry Maintenance

A short survey on modern track maintenance methods is given, concentrating on the developments in recent years. The ongoing refinement of the machinery should be shown as the influence of IT-solutions. On top the economic view to the track infrastructure is briefly demonstrated. Further developments in track hardware solutions must respect the obtained high level of track work mechanization. H...

Synthetic Cevian Geometry Synthetic Cevian Geometry 1

Teaching Geometry According to Euclid, Volume 47, Number 4

460 NOTICES OF THE AMS VOLUME 47, NUMBER 4 I n the fall semester of 1988, I taught an undergraduate course on Euclidean and nonEuclidean geometry. I had previously taught courses in projective geometry and algebraic geometry, but this was my first time teaching Euclidean geometry and my first exposure to non-Euclidean geometry. I used the delightful book by Greenberg [8], which I believe my stu...

Translating Euclid: Liberating the Cognitive Potential of Collaborative Dynamic Geometry

How should one translate the classic-education approach of Euclid’s geometry into the contemporary vernacular of computer visualization, social networking and discourse-centered pedagogy? The birth of geometry in ancient Greece and its systematization by Euclid played an important role in the development of deductive reasoning and science. As it was translated and refined over the centuries, ho...