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DIDAVISION


GEOMETRY IN OUR LIVES � Part I


GEOMETRY IN OUR LIVES  Part I
GEOMETRY IN OUR LIVES Part I

Our daily lives are crammed full of objects we use constantly, designed with precise geometric shapes. The Clothoid. The Cycloid. The Catenary. The Helix.

- The discovery and origin of Geometry
- Some of the practical use of Mathematics
- Mathematics an important tool for many other Scienes (Physics, Medicine, Chemistry, Civil Engineering, Architecture, Computer Science, etc.)

Common Geometric Forms
Mans creativity and Geometry
- The innumerable shapes
- The Circumference the circle
- Isoperimetricty
- The sphere why are many water and fuel tanks spherical?
- Why are many astronomical bodies with high masses spherical?

Cones and other curves
- How is a conical curve obtained.
- Circumference
- Ellipse
- Parabola
- The orbits of planets are elliptical
- Hyperbolas
- The Square of Saint Peter at the Vatican
- San Franciscos Golden Gate Bridge : its impressive parabolas
- Applications of the conical section
- The acoustic property of ellipses and parabolas. The Room of Secrets in the Alhambra, Granada, Spain and St. Pauls Cathedral, London, UK
- Three dimensions parabolas
- The shape of motorways and high speed train tracks
- Clothoid or Cornus Spiral often used in civil engineering
- What is a cycloid
- What is a catenary . The Saint Louis Gateway Arch in Missouri, USA
- Gaud and the catenary. Casa Mil in Barcelona, Spain
- The Helix

Geometry in Art
- The use of geometric figures in art particularly in Islamic art
- Some examples of geometric art
- The Islamic mosaics : transformation and rotation of polygons
- Fedorov Arab Mathematician and his theory of flat christallorgraphic groups
- The Alhambra decorated with the 17 basic flat geometric decorative patterns

More practical applications of Geometry
- Topography
- Civil engineering and architecture
- The Global Positioning System (GPS).
- Television, communications networks, agriculture, petrol and gas prospecting
- Land, sea and air transport
- The GPS : how does it work

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