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Fall 2005

Geometry for Education

Euclid's postulates:

  1. A unique straight line may be drawn from any point to any other point

  2. Every limited straight line can be extended indefinitely to a unique straight line

  3. A circle may be drawn with any center and any distance.

  4. All right angles are equal. (there are no cone points!)

  5. If a straight line intersecting two straight lines makes the interior angles on the same side less than two right angles, then the two lines, if extended indefinitely, will meet on that side on which the angles are less than two right angles.

 

Meaning is important in mathematics and geometry is an important source of that meaning. 

D. Henderson

 


 

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