@inbook {RicKor-GDG-2001, title = {Grundlagen Dynamischer Geometrie}, booktitle = {Zeichnung {\textendash} Figur {\textendash} Zugfigur}, year = {2001}, pages = {123{\textendash}144}, publisher = {Franzbecker}, organization = {Franzbecker}, address = {Hildesheim, Berlin}, abstract = {

In this article we present fundamental definitions that can be used to introduce a mathematical model for dynamic geometry. Starting from reasonable expectations that such a model should meet we will formalize the terms (dynamic) construction, instance of a construction and Dynamic-Geometry-System (DGS). The behavior of a DGS will be described by the terms conservatism and continuity. One of the main results of this article is that we can find a continuous DGS for any construction Z that is built up using algebraic basic construction steps only.

}, keywords = {refereed}, url = {http://kortenkamps.net/papers/2001/DG_OW1.pdf}, author = {Richter-Gebert, J{\"u}rgen and Kortenkamp, Ulrich}, editor = {Henn, Hans-Wolfgang and Elschenbroich, Hans-J{\"u}rgen and Gawlick, Thomas} }