| A | B |
|---|
| Euclid's Postulate 1 | A straight line can be drawn from any point to any point. |
| Euclid's Postulate 2 | A finite straight line can be extended continuouslyu in a straight line. (A finite straight line is a line segment.) |
| Euclid's Postulate 3 | A circle may be described with any center and sitance. |
| Euclid's Postulate 4 | All right angles are equal to one another |
| Euclid's Postulate 5 | If two lines "l" and "m" are cut by a third line "t", and the two inside angles, "a" and "b", together measure less than two right angles, then the two lines "l" and "m", if extended, will meet on the same side as the two angles "a" and "b". |
| Parallel Postulate 5 | If there is a linje "l" and a point"P" not on "l", then there is only one line that passes through "P" and is parallel to "l". |
| Axiom 1 | Thins that are equal to the same thing are equal to each other |
| Axiom 2 | If equals are added to equals, the sums are equal |
| Axiom 3 | If equals are subtracted from equals, the differences are equal |
| Axiom 4 | Things that are alike or coincide with one another are equal to one another |
| Axiom 5 | The whole, or sum, is greater than the parts |
