PRESENTATION ON

co-ordinate system

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TOPICSHISTORYGENERAL DEFINITIONCLASSIFICATIONSUSES OF CO-ORDINATE SYSTEMAPPLICATIONSWHAT WILL HAPPEN IF IT DOES NOT

EXISTS?

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HISTORYCartesian 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.

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General DefinitionA 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.

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CLASSIFICATIONSDepending on way the co-ordinate system set it may be the following 4-

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)

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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)

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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

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Some important fields that we need math-APPLICATIONS

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Describing position of any objectCoordinate 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 TransportWe 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.

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Map ProjectionsMap 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.

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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

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?

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THE HORROR ………….. (END )

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