Geometry of the situation
As geometry of position refers to a branch of geometry in which one examines only the positional relationships of geometric structures since the beginning of the 19th century.
The name goes back to the French Lazare Nicolas Marguerite Carnot (1753-1823), who published his main geometric work in 1803 under the title "Géométrie de position". In Germany, Christian von Staudt (1798–1867) wrote his fundamental book "Geometrie der Lage" (Nuremberg 1847), in which he avoided any calculation.
In contrast to the analytical geometry defined by a coordinate system , the geometry of the Algebra and Analysis linked studying the figures, as such, without addition of formulas in the geometry of the location or synthetic geometry.
Today the term projective geometry is used consistently for this branch of geometry .
The geometry of the situation is about the basic elements and the resulting from them primitive forms and of the conic sections . Important terms in the geometry of the situation are involution , pole and polar and duality .