Euclidean geometry is one
of the earliest geometry
concepts known to man.
 Civilization from early
history have been aware
of these simple concepts.


The basic geometry concepts were used
by the Egyptians in pyramid construction
sites. This knowledge was transcribed
mainly inside the pyramids.
We have evidence that
they were aware of
Pythagoras’ theorem,
the number π, basic
calculations, figures such
as spheres, triangles,
cubes and so on.
In Euclidean geometry
for instance the sum of
the angles inside a
o
triangle is Always 180
and a cube is always
o
360.


The axiomatic study
of Euclidean geometry in
the 19th Century led to the
discovery of non-Euclidean
geometries with different
axioms. Gauss, Bolyai and
Lobachevski independently
discovered Hyperbolic
Geometry, in which the
Euclidean axiom of
parallelism is replaced by an
alternative.

For example the sum of
a cube’s angles when
applied to a nonEuclidean surface is not
o
necessary 360 the sum =180o
can exceed this
number.
>180
o
<180
o

Poincaré soon discovered the first
physical geometric model of hyperbolic
geometry, in a form known as the
Poincaré disc.

Analytic geometry, or analytical
geometry has two different meanings in
mathematics. The modern and
advanced meaning refers to the
geometry of analytic varieties. This article
focuses on the classical and elementary
meaning.

In classical mathematics , analytic geometry also
known as coordinate geometry , or cartesian geometry,
is the study of geometry
using a coordinate
system and the
principles of algebra
and analysis .
Analytic Geometry:
The deferences between
Analytic Geometry and
Synthetic Geometry is Analytic
Geometry uses a coordinate
system.

A coordinate system
uses an X and Y or an X,
Y and 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.
Made by:
Elif DEMİRLİ
Jessica Ballon
Hristiyan Kolev
23.11.2011
Uskudar Genclik Merkezi
BRIDGES THROUGH HISTORY WITH MATHS
Sources:
Wikipedia
Google
School materials