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					                  Euclid
                  325-265 BC                 QuickTime™ and a
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• Author of The Elements
  – 13 books in all.
  – Standard textbook for Geometry for about

    2000 years.
• Taught in Alexandria, Egypt.
              Euclid’s Elements:
              The first 4 axioms
A modern form of the axioms.
1. For every point P and every point Q not equal to P there
    exists a unique line that passes through P and Q.
2. For every segment AB and for every segment CD there
    exists a unique point E such that B is between A and E
    and the segment CD is congruent to segment BE.
3. For every point O and every point A not equal to O there
    exists a circle with center O and radius OA.
4. All right angles are congruent to each other.
              Euclid’s Elements:
             The Parallel Postulate
5.   That, if a straight line falling on two straight lines make
     the interior angle on the same side less than two right
     angles, the two straight lines, if produced indefinitely,
     meet on that side on which are the angles less than two
     right angles.

				
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