Descartes and Mathematics  Traditional figuresPatrice Debart present (french language) : 
The address of the website is : 
Geometry  Secondary schoolCabri in first year Remarkable lines in the triangle Pythagore : geometrical demonstrations Constructions with the rule and the compass Constructions  foldings Configurations in fifth form 
Geometry  Lower sixthAngles The barycentre Minimummaximum The projective plan 
Presentation  
Interactive figures  
History of mathematicsThe geometry of Descartes Elements of Euclide  
Solid geometryFirst year : Parallelepiped Owners Lower sixth : Tetrahedrons, cubes Upper sixth : Paraboloids and surfaces 
Analysis with GeoPlanGraphic solution of quadratic equations Tangent with a curve : introduction Curve of the dogs  study of geometrical continuations Parabolas  place of the orthocentre Option  Lower sixth 
Geometrical playsArchivesAPMEP : play and maths The rise 
The Geometry 
Annals 
Patrice Debart Adress : Profil Google + : Patrice Debart 
… with GeoPlanGeoSpace

As a professor of mathematics, I taught data processing during more than 10 years to the high school Jean Rostand of Caen and fact of research with the IREM then with the CRDP of LowNormandy within the one halftime old framework data processingtelematics. After the removal of this station I seized the expatriation appropriateness in Africa (Egypt, Ivory Coast, Morocco) where I professed eight years within the french school abroad. Ended my career at the secondary school Val de Durance in Pertuis, then until 2011, I was member of the team Matice responsable for MIAM, mathematical part in the website of the academy of AixMarseille. Because of my past of trainer I frequently use data processing during my courses (geometry with GeoPlan and GeoSpace or computer TI92). This website presents the synthesis as of my work directed towards active mathematics and the teaching use of data processing. 
In 200 pages covering the whole of the chapters of the traditional geometry « …with GeoPlan » presents 1500 exercises of geometry. The application presents a synthesis of the geometrical activities of the class of college. Installation of GeoPlanGeoSpaceGeoPlanGeoSpace is diffused, by the ChampagneArdenne CRDP. The licence establishment allows all the pupils and professors to use the software on their microcomputers. Free downloadThe team of the AIDCREEM, which developed GeoPlanGeoSpace, offers it to you the last version for any teaching use not commerciale… For that : ActivX for Internet Explorer (not compatible Windows Vista)If you are equipped with Windows, for a free version, simplest controls ActiveX CREEM is to download and to use a virgin page HTML for GeoPlan or GeoSpace with Internet Explorer. There is no bar of menus, nor of buttons : double to click on the figure to have access to the orders. 
Many problems of geometry can be translated in the form of problems of existence or construction of a geometrical figure, in general described implicitly by a text ; Thus, a figure described by a text starting with : « an isosceles triangle Is ABC basic BC », must it « be clarified » for GeoPlan : In small the optionlanguage, it is possible to choose English or German, thus obtaining descriptions facilitating the internationnaux exchanges. 
Natural languageB free point ; C free point ; D mediator of segment [BC] A free point on the line D Segment [AB], 
English activX versionB free point D perpendicular bisector of segment [BC] A free point one line D Segment [AB] To download the figure GeoPlan tri_iso_en.g2w 
German versionB freier Punkt freies D Mittelsenkrechte der Strecke [BC] With freier Punkt auf der Geraden D Strecke [AB] To download the figure GeoPlan tri_iso_de.g2w 
The dynamic representation makes it possible to take into account the invariants of the figure : the isosceles triangle is not that a simple drawing and the remainder when the tops are moved. InteractivityActivate a figure while clicking above… it becomes interactive ! In my examples almost all the figures are controllable with the keyboard : click on the figure and press on the arrows of displacement. 
Cabri is the software of plane geometry ideal for the use of data processing in class. 
These documents present a series of explanations for the use of formal calculation.

Professor of the old secondary school Rene Descartes de Bouake (Ivory Coast) I wanted to present the texts of this author on the theorem of Thales, the problems of the second or the third degree. The conical ones like places of points (level upper sixth + 2) : the problem of Pappus 
Documentation on the interactive figures using of ActivX controls 
GeoPlan : tricks and easy ways Bibliography 
The Geometry 
Annals 

Website « Descartes and Mathematics »http://debart.pagespersoorange.fr 
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Page n^{o} 67, created 1/4/2004  update 1/3/2006 