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CARTESIAN GRAPHS AND
ITS APPLICATIONS
 INTRODUCTION
• Cartesian Coordinates Is Also Called Rectangular Coordinates
• Cartesian Coordinates Gets Its Name From One Of The First People Known To Have
Used It, The French Mathematician And Philosopher Rene Descartes (1596-1650)
• It Can Be Used To Plot Points And Graph Lines
 LET US GO BACK IN TIME…..
10m
7m
 CARTESIAN GRAPH
• A Cartesian Graph Is Really Just Two Number Lines That Cross At 0. These Number Lines Are
Called The Horizontal Axis (Also Called The X-axis) And The Vertical Axis (Also Called The Y-
axis). The Place Where These Two Axes (Plural Of Axis) Cross Is Called The Origin.
• What About Negative Values Of X And Y?
• Just Like With The Number Line, We Can Also Have Negative
Values.
• Negative: Start At Zero And Head In The Opposite Direction:
• Negative X Goes To The Left
• Negative Y Goes Down
 QUADRANTS
• Cartesian Has Four Quadrants:
APPLICATIONS
 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.
 NAUTICAL GUIDANCE SYSTEM
• Submarines and ships use this system to track upcoming targets or objects.
• Using coordinate geometry we can determine the size and the distance of the
approaching object
Location Of Air Transport
• We All Have Seen The Aero-planes Flying In The Sky But Might Have Not Thought Of How
They Actually Reach The Correct Destination.
• Coordinates Of Any Particular Vehicle Are Used To Describe Its Current Location Of The
Aircraft. Even If An Aircraft Moves A Small Distance (Up, Down, Forward Or Backward), Its
Coordinates Are Updated In The System.
 ROBOTICS, COMPUTERS & VIDEO GAMES
• Gamers appreciate speed over real life effects, geometry provides both for computer
and video game programmers. The way the characters move through their virtual
worlds requires geometric computations to create paths around the obstacles
populating the virtual world. Using this form of geometry helps speed up processing
because calculations are only done for the vertical lines on the screen. The same
geometry helps the gamers experience the game.
Latitude And Longitude
• For The Real World Locations, Describing The Accurate Location And Shape Of
Features Will Require A Coordinate Framework. So For These Purpose, A Special
Coordinate System Called Geographical Coordinate System Is Used To Assign
Geographic Locations To Objects.
 ECONOMICS
• Another valuable real-life application is the use of trend lines. Statisticians use
graphed trend lines to show important information such as how a business is
performing and how profit can be maximized.
 DROP/ENEMY LOCATION TRACKING
 PUBG
 SNAP-CHAT FILTERS
ANY QUESTIONS?
THANK YOU
Andrea Fernandes- 14
Evita Franco- 37
Heera Alva- 43
Jamie D'Souza- 44
Jolyna Ribeiro- 49
Lishma Fernandes-56

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Cartesian Graphs and Its Applications PPT

  • 2.  INTRODUCTION • Cartesian Coordinates Is Also Called Rectangular Coordinates • Cartesian Coordinates Gets Its Name From One Of The First People Known To Have Used It, The French Mathematician And Philosopher Rene Descartes (1596-1650) • It Can Be Used To Plot Points And Graph Lines
  • 3.  LET US GO BACK IN TIME….. 10m 7m
  • 4.  CARTESIAN GRAPH • A Cartesian Graph Is Really Just Two Number Lines That Cross At 0. These Number Lines Are Called The Horizontal Axis (Also Called The X-axis) And The Vertical Axis (Also Called The Y- axis). The Place Where These Two Axes (Plural Of Axis) Cross Is Called The Origin. • What About Negative Values Of X And Y? • Just Like With The Number Line, We Can Also Have Negative Values. • Negative: Start At Zero And Head In The Opposite Direction: • Negative X Goes To The Left • Negative Y Goes Down
  • 5.  QUADRANTS • Cartesian Has Four Quadrants:
  • 6.
  • 7. APPLICATIONS  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.
  • 8.  NAUTICAL GUIDANCE SYSTEM • Submarines and ships use this system to track upcoming targets or objects. • Using coordinate geometry we can determine the size and the distance of the approaching object
  • 9. Location Of Air Transport • We All Have Seen The Aero-planes Flying In The Sky But Might Have Not Thought Of How They Actually Reach The Correct Destination. • Coordinates Of Any Particular Vehicle Are Used To Describe Its Current Location Of The Aircraft. Even If An Aircraft Moves A Small Distance (Up, Down, Forward Or Backward), Its Coordinates Are Updated In The System.
  • 10.  ROBOTICS, COMPUTERS & VIDEO GAMES • Gamers appreciate speed over real life effects, geometry provides both for computer and video game programmers. The way the characters move through their virtual worlds requires geometric computations to create paths around the obstacles populating the virtual world. Using this form of geometry helps speed up processing because calculations are only done for the vertical lines on the screen. The same geometry helps the gamers experience the game.
  • 11. Latitude And Longitude • For The Real World Locations, Describing The Accurate Location And Shape Of Features Will Require A Coordinate Framework. So For These Purpose, A Special Coordinate System Called Geographical Coordinate System Is Used To Assign Geographic Locations To Objects.
  • 12.  ECONOMICS • Another valuable real-life application is the use of trend lines. Statisticians use graphed trend lines to show important information such as how a business is performing and how profit can be maximized.
  • 16.
  • 17.
  • 19. THANK YOU Andrea Fernandes- 14 Evita Franco- 37 Heera Alva- 43 Jamie D'Souza- 44 Jolyna Ribeiro- 49 Lishma Fernandes-56

Editor's Notes

  1. http://blog.askiitians.com/co-ordinate-geometry-works-real-space-five-practical-examples/