Descartes and Mathematics  Traditional figuresPatrice Debart present (french language) :  
The address of the website is : 
Geometry  Secondary schoolRemarkable lines in the triangle Pythagore : geometrical demonstrations Constructions with the rule and the compass Configurations in fifth form The problems of BOA  rotations 
Geometry  Lower sixthAngles To build a regular pentagon The barycentre Minimummaximum The projective plan  
History of mathematics The geometry of Descartes Great problems of greek geometry  
Solid geometryFirst year : Parallelepiped Owners Lower sixth : Tetrahedrons, cubes Activities : straight line parallel with a plan Functions  active importation 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  
Presentation of website « Descartes and Mathematics »  
Patrice Debart Adress : 
… 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.  
Dynamic geometry with GeoPlan and GeoSpaceIn 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.  
Geometrical figureMany 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.  
CabriGeometre : work practise in first year and fourth yearCabri is the software of plane geometry ideal for the use of data processing in class.  
Computer TI92 : formal calculation and programmingThese documents present a series of explanations for the use of formal calculation.
 
The Geometry of Rene DescartesProfessor 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  
TechniqueGeoPlan : tricks and easy ways  
Website « Descartes and Mathematics » http://debart.pagespersoorange.fr
