Geometry of the solid

The geometry of the solid is one of the branches of the Euclidean Géométrie. She studies all the properties closely connected and metric solids: surface, volume, sections, incidence, Symmetry, duality… It is based on the properties of the Solid geometry. The support of reflection being plane (paper or screen of computer), it is necessary moreover to develop means of representations like the development (or owner), the section, the representation in descriptive Géométrie or perspective. In Computer-aided design and Computer graphics, the study of the geometry of the solid will lead to the modeling of the solid by using tools powerful like the Topologie and the differential Géométrie. Finally surfaces being used as borders with the solids are good candidates for the development of the nonEuclidean geometries

Among the mathematicians having worked on the geometry of the solids, one can quote

Pythagore and the school of Pythagoriciens
Plato which makes associates an inventory of the polyhedron regular and them a component of the universe (fire, air, ground, universe and water)
Archimedes, which developed the technique of calculation of volume ( the book of the sphere and the cylinder )
Pappus
the brothers Banu Musa (Book on the determinations of surfaces of the figures plane and spherical)
Thabit Ibn Qurra then later Ibn Al-Haytham for the paraboloids
Descartes
Cavalieri and its principle

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