geometry. the word geometry is greek for geos - meaning earth and metron - meaning measure

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Page 1: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

GEOMETRY

Page 2: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

GEOMETRY• The word geometry is Greek for geos -

meaning earth and metron - meaning measure.

Page 3: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

GEOMETRY

La palabra Geometría alude a "medir la tierra". En Egipto, año tras año, el Nilo inundaba los campos, destruyendo con su limo las divisiones cuidadosamente trazadas. Cuando las aguas volvían a su cauce, los agrimensores debían trazar de nuevo los límites de las propiedades de cada propietario.

Page 4: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

• Geometry was extremely important to ancient societies and was used for surveying, astronomy, navigation, and building.

Page 5: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

GEOMETRY• Los agrimensores y

constructores de pirámides trazaban líneas perpendiculares sobre el terreno, utilizando una cuerda de doce nudos equidistantes. Con este método dibujaban en el suelo triángulos rectángulos de lados 3, 4 y 5.

Page 6: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

GEOMETRY• Para la construcción de las

impresionantes pirámides, cubiertas de jeroglíficos, los egipcios obtienen fórmulas que aplican según sus necesidades. El enunciado de uno de los 28 problemas del papiro de Moscú, parece corroborar que los egipcios conocían la fórmula para calcular el volumen de un tronco de pirámide:

• siendo a, b las longitudes de los lados de la base de la pirámide y h la altura.

Page 7: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

• Geometry, as we know it is actually known as Euclidean geometry which was written well over 2000 years ago in Ancient Greece by

•Euclid, Pythagoras, Thales, Plato and Aristotle just to mention a few.

Page 8: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

GEOMETRY

• The most fascinating and accurate geometry text was written by Euclid, and was called Elements. Euclid's text has been used for over 2000 years!

Euclid's Elements, written about 300 B.C.

Page 9: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

GEOMETRY

• Geometry is the study of angles and triangles, perimeter, area and volume. It differs from algebra in that one develops a logical structure where mathematical relationships are proved and applied.

Page 10: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

GEOMETRY IN THE ARCHITECTURE

Page 11: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

GAUDI

http://www.cameronius.com/graphics/gaudi/

http://www.youtube.com/watch?v=4Wq8w251o7k

Page 12: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

GAUDI

LA PEDRERA(CASA MILÁ) SAGRADA FAMILIA

LA PEDRERA

LA CASA BATLLÓ

Page 13: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

GAUDI

SAGRADA FAMILIA

SAGRADA FAMILIA

SAGRADA FAMILIA

LA CASA BATLLÓ

LA CASA BATLLÓ

Page 14: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

GAUDI

LA CASA BATLLÓ

LA CASA BATLLÓ

LA PEDRERA

Page 15: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

GAUDI

CATENARIA

ARCOS CATENARIOS

PARQUE GUËLL

Page 16: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

PARQUE GÜELL

Page 17: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

GAUDI- PARQUE GÜELL

Page 18: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

GEOMETRY IN THE NATURE

Page 19: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

GEOMETRY IN THE NATURE• WHY IS THE HEXAGON USED BY

BEES?El matemático griego Pappus de Alejandría fue el primero en preguntarse por qué las abejas guardan la miel en hexágonos cuando sería más sencillo construir cuadrados o triángulos. Pappus se dio cuenta que construyendo hexágonos, las abejas utilizan el mismo perímetro que con triángulos o cuadrados pero el área que encierra el hexágono es mayor. Esta es la forma de almacenar la mayor cantidad de miel ahorrando al máximo la producción de cera, que es de lenta y costosa fabricación.

Page 20: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

HONEYCOMBS

Page 21: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure

GEOMETRY IN THE NATURELa sucesión de Fibonacci, geometría en la naturaleza.

Page 22: GEOMETRY. The word geometry is Greek for geos - meaning earth and metron - meaning measure