Date post: | 29-Jun-2015 |
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Geometry
ByBed Prasad Dhakal
Lecturer, FOE
Introduction
GeometryBabylonians- Extensive involvement in tradeEgyptians- Practical considerations
(Regular flooding of the Nile River)derives from the Greek geo (earth) and metron (measure)
Geometry isbranch of mathematics concerned with spatial relationsStudy of two properties (local and global)Study of five invariants - Felix Klein (1849-1925)An axiomatic System
Spatial Relation
Structure
Change
Quantity
MathematicsThe oldest branches of mathematicsArisen in the concerns of everyday lifeResponse to practical problemsDerived from Greek wordsMeaning “Earth measurement.
Egyptians inventing surveying in order to reestablish property values after annual flood of the Nile
Excitement to know the volumes of solid figures derived from the need to evaluate store oil and
grain, and build dams and pyramids.
Study of two propertiesLocal Global
Depend only upon points close to a particular point
Define in the neighborhood of a point
Radius of curvature
Involve the entire geometric figure
Define as in whole
One side-ness of Mobius strip
Radius of curvature depends upon its neighborhoods.
Local Property
Radius of curvature depends upon its neighborhoods.
Local Property
One Sideness-Moebius Strip
Global Property