Implementation and Analysis of Curves and their Properties in Dynamic Geometry Software

Abstract

There are some curves, namely, the Cycloid, the Conchoid of Nicomedes, the Pascal limaçon, the trisectrix of Hippias and the cissoid of Diocles, which have been studied over many centuries because of heir properties. In this work, we report some properties of those curves which are fundamental to the discussion of antiquity problems. We also analyzed, implemented and simulated the main properties of the cycloid curve and the three classical problems of Greek geometry in dynamic geometric open source software.

Keywords

• Curves
• Properties
• Greek Geometry
• Open Software
• GeoGebra