Euclid was a Greek mathematician who has been referred to as the 'father of geometry,' due in large part to a book he wrote called In simple language, Euclid's ten postulates are as follows: - Things which are equal to the same thing are also equal to one another
- If equals are added to equals, the sums are equal
- If equals are subtraced from equals, the remainders are equal
- Things which coincide with one another are equal to one another
**The whole is greater than the part****Between any two points a straight line may be drawn****A straight line segment can be extended forever****Given a line segment, a circle may be drawn having one endpoint as the center and the segment as the radius****All right angles are congruent****If a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, then the straight lines, if extended indefinitely, meet on the side on which the angles lie (this is known as the Parallel Postulate**)
In our geometry class, we will be learning about the fundamental ideas as indicated in Euclid's last five postulates.
An axiom is a statement that is a 'given' and does not have to be proven. A postulate forms the basis for a theorem; it is the starting point. |
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©2014 Sherry Skipper Spurgeon for Geometry Bugs Me All Rights Reserved |
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