Wolfram Library Archive


All Collections Articles Books Conference Proceedings
Courseware Demos MathSource Technical Notes
Title Downloads

Descartes-Geometry
Author

Bruno Autin
Organization: MathSoft Overseas
Old MathSource #

0205-175
Revision date

1993-01-01
Description

Descartes is a series of packages to do geometry with Mathematica. The first volume is: 2D Euclidean Geometry. The program contains a toolkit of basic geometrical objects: POINT, STRAIGHT, CIRCLE, ARC, CONIC, LINE, POLYGON, VECTOR, and more than hundred functions to produce exact drawings. Note that using a symbolic engine to do drawing, all the theorems of geometry are automatically applied and an assembly of drawings is as rigorous as a single drawing. Results come in both graphical and analytical form. Properties such as: alignment, concentricity, contact, parallelism, etc., can be tested exactly. Last, objects may depend on parameters and become geometrical functions ideal to generate families of objects, this is, the realm of dynamical geometry. The package is designed to be used as an element of basic courseware on geometry and for numerous applications ranging from scientific publishing to graphics art or CAD/CAM. This MathSource item contains demonstration notebooks and informationalal files about the Descartes program.
Subjects

*Mathematics > Geometry > Plane Geometry
*Mathematics > Geometry > Solid Geometry
*Wolfram Technology > Programming > 2D Graphics
*Wolfram Technology > Programming > 3D Graphics
Keywords

2D Graphics, 3D Graphics, fractals, publishing, geometry, high school courseware, college courseware, graduate courseware, aerospace engineering, chemical engineering, civil engineering, electrical engineering, industrial engineering, mechanical engineering, graphics animations, graphics examples, presentation graphics, graphics programming, pure mathematics, applied mathematics, physics, Mathematica in Education, GeomObjects.ms, GeomConstructs.ma, GeomTransforms.ma, GeomDynam.ma, GeomTheorems.ma, GoldenSpiral.ma, OperatorsAndGeometry.ma
Downloads Download Wolfram CDF Player

Download
GeomConstructs.nb (42.3 KB) - Descartes set of geometrical constructs
Download
GeomDynam.nb (29.5 KB) - Descartes functions of dynamical geometry
Download
GeomObjects.ms (32.1 KB) - Descartes toolkit of 2D geometrical objects
Download
GeomTheorems.nb (43.3 KB) - Descartes sample of theorems
Download
GeomTransforms.nb (99.7 KB) - Descartes set of geometrical transformations
Download
GoldenSpiral.nb (47.6 KB) - Paper on fractal geometry with Descartes
Download
OperatorsAndGeometry.nb (180.2 KB) - Demonstration notebook of Descartes package

Files specific to Mathematica 2.2 version:
Download
GeomConstructs.ma (35.8 KB) - Mathematica Notebook 2.2 or older
Download
GeomDynam.ma (27 KB) - Mathematica Notebook 2.2 or older
Download
GeomTheorems.ma (36.9 KB) - Mathematica Notebook 2.2 or older
Download
GeomTransforms.ma (92.2 KB) - Mathematica Notebook 2.2 or older
Download
GoldenSpiral.ma (38.7 KB) - Mathematica Notebook 2.2 or older
Download
OperatorsAndGeometry.ma (158.1 KB) - Mathematica Notebook 2.2 or older