List of interactive geometry software
Under dynamic geometry is defined as the creation of interactive geometric constructions on the computer. With geometric constructions here are classic designs with a compass and a ruler meant as they are studied in mathematics since antiquity ( for example, in the books of Euclid ). Are not meant here CAGD (Computer Aided Geometric Design ), architectural drawings, but geometry as a mathematical discipline. Movements, deformations, kinematics can be illustrated. Main field of application of dynamic geometry is the geometry classes in school.
History and characteristics
The essential step in the development of dynamic geometry was the late eighties / early nineties introduced tensile mode, which was realized by the first dynamic geometry software products such as Cabri Geometry and Geometer's Sketchpad. The dynamics comes into play by that free basis points shifted in the so-called pull mode - can be drawn and all dependent objects constructed mitverändern their position accordingly. This can be checked on the one hand, the correctness of constructions in different situations, on the other, dependencies can be seen, which would not be visible in a static structure. As an important application to local lines can be generated using the trace mode. Here, the graphical representation in dynamic recalculation of points did not deleted the old positions and the points left such a mark on the Ortlinie on which they move.
The tools ruler and compass are simulated by computer. The computer may also create intersections and there is an abundance - depending on the software with different weights - other tools such as solders and parallel rulers, simplify the design steps. Macros are used in many programs to simplify the design process and are part of the standard repertoire.
The new developments and updates in recent years highlight amplified complementary aspects. These include non-Euclidean geometries, the connection to the computer algebra, numerical possibilities of influencing the designs and much more. Another development is the inclusion of DGS ( Dynamic Geometry Software ) in the Internet environment. More and more products have (mostly Java-based ) reactions on how to make the worksheets generated online. Furthermore, there are implementations on various graphics-capable calculators.
For some time, the dynamic spatial geometry forms a sub-branch of the dynamic geometry. Here is the 3D capabilities of modern PCs are used to illustrate three-dimensional issues of analytical geometry.
Known software for dynamic geometry
Among the well-known DGS that already exist since the early nineties, include Cabri Geometry, Geometer's Sketchpad, Euclid and Geolog. Euclid developed in Germany to the interim known DGS in the school sector. Geology was also quite well known in Germany and had a special tutoring system to facilitate students learning geometric constructions and teaching content. Cabri Geometry with Geometer's Sketchpad was the first internationally well-known DGS and is also as Geometer 's Sketchpad, available next to the PC on TI calculators. The much later developed Cabri3D was one of the first spatial DGS. With the exception of Geolog all of the above DGS are sold commercially.
Since the late nineties were in the German language with GeoGebra (since 2001 ), ( 1999 ), Cinderella ( 1995 ) developed Geonext (since 1998) and ruler and compass a number of Java-based systems, thus in contrast to the previous DGS not more were limited to a particular operating system. GeoGebra offers the usual geometric- visual manipulation of objects also an algebraic interface, it is the first program that combines the features of computer algebra and dynamic geometry together. Cinderella offers the opportunity to work with non-Euclidean geometries and is distributed as a single one of the Java-based systems commercially, but a version with slightly limited functionality is available for free. Kig is a free DGS, which is widely used on Linux.