%0 Journal Article
%T Using GeoGebra as an Expressive Modeling Tool: Discovering theAnatomy of the CycloidĄŻs Parametric Equation
%A Tolga Kabaka
%A Muharrem Aktumen
%J GeoGebra : The New Language for the Third Millennium
%D 2010
%I Zigotto Printing & Publishing House, Galati
%X In Greek geometry, curves were defined as objects, which are geometric and static. For example, a parabola is defined as the intersection of a cone and plane like other conics, which are first introduced by Apollonius of Perga (262 BC ¨C 190 BC). Alternatively, 17th century European mathematicians have preferred to define the curves as the trajectory of a moving point. In his Dialogue Concerning Two New Science of 1638, Galileo found the trajectory of a canon ball. Assuming a vacuum, the trajectory is a parabola (Barbin, 1996). We can understand that some of the scientists, who studied on curves, actually were interested in the problems of applied science, like Galileo as an astronomer and a physician, Nicholas of Cusa as an astronomer etc. Some of the scientist, who lived approximately in the same century, took further the research on the curves as a mathematician (e.g. Roberval, Mersenne, Descartes and Wren).
%K Exploratory modeling
%K Expressive modeling
%K Producing the Cycloid with GeoGebra
%U http://ggijro.files.wordpress.com/2011/07/article-6.pdf