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Geometry Introduction-a
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Geometry Introduction-a

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Transcript

  • 1. Introduction ByBed Prasad Dhakal Lecturer, FOE
  • 2. Geometry Babylonians- Extensive involvement in trade Egyptians- Practical considerations (Regular flooding of the Nile River) derives from the Greek geo (earth) and metron (measure)Geometry is branch of mathematics concerned with spatial relations Study of two properties (local and global) Study of five invariants - Felix Klein (1849-1925) An axiomatic System
  • 3. MathematicsThe oldest branches of mathematicsArisen in the concerns of everyday life QuantityResponse to practical problemsDerived from Greek wordsMeaning “Earth measurement. ChangeEgyptians inventing surveying in order toreestablish property values after annual flood of Structurethe NileExcitement to know the volumes of solid figures Spatialderived from the need to evaluate store oil and Relationgrain, and build dams and pyramids.
  • 4. Study of two properties Local Global Depend only upon points close  Involve the entire geometric to a particular point figure Define in the neighborhood of a  Define as in whole point Radius of curvature  One side-ness of Mobius strip
  • 5. Local PropertyRadius of curvature depends upon its neighborhoods.
  • 6. Local PropertyRadius of curvature depends upon its neighborhoods.
  • 7. Global PropertyOne Sideness-Moebius Strip