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MEASUREMENT
Lesson 3 - Page 1

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Plato

LESSON 3.  Eulerís Formula for Polygons (Lab)

Math provides a greater ability to describe objects.  If a student has a good knowledge of geometry, they are able to describe what they see.  Geometry can be divided into linear geometry which describes 1 or 2 dimensional objects, and solid geometry which describes three-dimensional objects.  Many subjects in science require this qualitative ability to describe things. Without the ability to measure or see shapes, a student will not be able to further their investigations.

Plato (427-347 BC) was a Greek philosopher and a student of Socrates.  When Socrates was murdered he began his philosophical career with students of Pythagoras, and spent years advising wealthy families in Italy and Egypt.  Eventually he returned to Athens and established is own school of philosophy that included many mathematical connection to the heavens.  Plato felt that the heavens were full of mathematical connections.


Plato's four elements associated with geometric solids


Octahedron (8 faces)

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