Rene Descartes invented the Cartesian coordinate system in the 1600s while observing a fly crawl on his ceiling. He realized he could describe the fly's position using its distance from the walls of the room. The coordinate system specifies each point uniquely in a plane using a pair of numerical coordinates representing the signed distances from the point to two fixed perpendicular lines. Coordinate systems are widely used today, including in applications like maps, global positioning systems, tracking weather patterns, and air traffic control, where they are essential for describing an object's location. Without a coordinate system, important functions like air travel would be impossible.

1. PRESENTATION
ON
co-ordinate system
Done by Anmona Monisha

2. TOPICS
 HISTORY
 GENERALDEFINITION
 CLASSIFICATIONS
 USES OF CO-ORDINATE SYSTEM
 APPLICATIONS
 WHAT WILLHAPPENIF IT DOES NOT EXISTS?
Done by Anmona Monisha

3. HISTORY
Cartesian means relating to the French mathematician and
philosopher Rene Descartes (Latin: Cartesius), who,
among other things, worked to merge algebra and
Euclidean geometry.
Rene Descartes who lived in 1600s. When he was a child, he
was often sick, so the teachers at his boarding school let
him stay in bed until noon. He went on staying in bed
until noon for almost all his life. While in bed, Descartes
thought about math and philosophy.
One day, Descartes noticed a fly crawling around on the
ceiling. He watched the fly for a long time. He wanted to
know how to tell someone else where the fly was. Finally
he realized that he could describe the position of the fly
by its distance from the walls of the room. When he got
out of bed Descartes wrote down what he had
discovered the position of the fly. Descartes had
invented the co-ordinate plane! In fact ,the co-ordinate
plane is sometimes called the Cartesiun plane in his
honor.
Done by Anmona Monisha

4. A co-ordinate system is a system designed to establish
positions with respect to given reference points. The co-
ordinate system consists of one or more reference points, the
style of measurement (linear or angular) from those reference
points, and the directions (or axes) in which those
measurements will be taken.
Done by Anmona Monisha

5. CLASSIFICATIONS
1. POLAR CO-ORDINATE SYSTEM: It is a
two-dimensional coordinate system in
which each point on a plane in determined
by a distance from a fixed point and an
angle from a fixed direction. (r,θ)
2. CYLINDRICAL CO-ORDINATE SYSTEM: It is
a three-dimensional coordinate system,
where each point is specified by the two
polar coordinates of its perpendicular
projection onto some fixed plane, and by
its distance from the plane. (ρ,Ф,z)
Done by Anmona Monisha

6. CLASSIFICATIONS
4. CARTESIAN CO-ORDINATE
SYSTEM: It specifies each point
uniquely in a plan by a pair of
numerical coordinates, which are
the signed distances from the point
to two fixed perpendicular directed
lines, measured in the same unit of
length.
3. SPHERICAL CO-ORDINATE SYSTEM: It is a
three-dimensional coordinate system, where
the position of a point is specified by three
numbers: the radial distance of that point
from a fixed origin, its elevation angle
measured from a fixed plane, and the
azimuth angle of its orthogonal projection on
that plane. (r,θ,Ф)
Done by Anmona Monisha

7. Learning Co-ordinate geometry is not just to clear your present class but
also helps your understanding in various ways. Like –
1. Geometry is applicable in computers or cell phones.
2. The text file or PDF file which we open is itself an example of
coordinate plane.
3. In these, the words or images are written or modified with the use of
coordinate geometry.
4. Any PDF file, which contains text, images and different shapes, are
placed according to the 2-dimentional coordinate (x, y) system.
5. All the concepts like distances, slopes and simple trigonometry are also
applicable here.
USES OF CO-ORDINATE SYSTEM
Done by Anmona Monisha

8. Some important fields that we need math-
APPLICATIONS
Done by Anmona Monisha

9. Describing position of any object
Coordinate system can be used to find the
position of any object from its original place
(called origin) to its present location
APPLICATIONS IN REAL LIFE
Location of Air Transport
We all have seenthe aero-planes flying
in the sky but might have not thought
of how they actually reach the correct
destination. Actually all these air
traffic is managed and regulated by
using coordinate geometry.
Done by Anmona Monisha

10. Map Projections
Map Projection is a technique to
map any 3D curved object on a flat
2D surface.
APPLICATIONS IN REAL LIFE
The Global Positioning System (GPS):
GPS is a space based satellite navigation
system that provides location and time
information in all weather conditions. In a
GPS, the longitude and the latitude of a place
are its coordinates. The distance formula is
used to find the distance between 2 places in
a GPS.
Done by Anmona Monisha

11. In real life, when weather forecasters
are tracking hurricanes, they note the
absolute location on a periodic basis to
see the path of the storm and try to
predict the future path based partially
on these findings.
APPLICATIONS IN REAL LIFE
A latitude measurement indicates locations
at a given angle north or south of Earth’s
equator. So, latitude measurements range
from 90° North at the North Pole to 0° at the
equator to 90° South at the South Pole.
A longitude measurement indicates
locations at a given angle east or west of an
imaginary north-south line called the prime
meridian, which runs through Greenwich,
England. Longitude measurements begin at
0° at the prime meridian and extend 180°
both to the west and to the east.Done by Anmona Monisha

12. Now imagine what if coordinate system doesn’t exist. Pilots, aircraft
controller, passengers in the flight, persons waiting for the flight all will
not be able to get the location or position of aircraft. These will also
definitely increase the chances of aircraft crushes. So from here we can
easily say that coordinate system is one of the most important parts of air
transport.
WHAT WILL HAPPEN IF IT DOES NOT
EXISTS?
Done by Anmona Monisha

13. THE HORROR ………….. (END )
Done by Anmona Monisha