Geometry. Classical Non-Euclidean Analytic Synthetic. Euclidean geometry. Euclidean geometry is one of the earliest geometry concepts known to man . Civilization from early history have been aware of these simple concepts . Euclid e an Geometry in Egypt.
We have evidence that they were aware of Pythagoras’ theorem, the number π, basic calculations, figures such as spheres, triangles, cubes and so on.
for instance the sum of
the anglesinside a
triangle is Always180
and a cube is always
For example the sum of a cube’s angles when applied to a non-Euclidean surface is not necessary 360 the sum can exceed this number.
Poincaré soon discovered the first physical geometric model of hyperbolic geometry, in a form known as the Poincaré disc.
In classical mathematics , analytic geometry also known as coordinate geometry , or cartesiangeometry,
is the study of geometry using a coordinate system and the principles of algebra and analysis .
The deferencesbetween AnalyticGeometryand SyntheticGeometry is AnalyticGeometry uses a coordinate system.
A coordinate system uses an X and Y or an X, Yand Z axe to locate a specific point on a flat or 3D plain.
They are the so called father of analytic geometry, trough it’s discovery algebra and geometry were bridge together for the first time.
The Cartesian coordinate system got it’s name from the Descartes signature.
23.11.2011 UskudarGenclik Merkezi
BRIDGES THROUGH HISTORY WITH MATHS