Postulates And Commond Notions Or Axioms From Euclid's Elements

Front 1

Postulate 1

Back 1

1. To draw a straight line from any point to any point.

Front 2

Postulate 2

Back 2

2. To produce a finite straight line continuously in a straight line.

Front 3

Postulate 3

Back 3

3. To describe a circle with any centre and distance.

Front 4

Postulate 4

Back 4

4. That all right angles are equal to one another.

Front 5

Postulate 5

Back 5

5. That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which the angles less than the two right angles.

Front 6

Common Notion 1

Back 6

1. Things which are equal to the same thing are also equal to one another.

Front 7

Common Notion 2

Back 7

2. If equals be added to equals, the wholes are equal.

Front 8

Common Notion 3

Back 8

3. If equals be subtracted from equals, the remainders are equal.

Front 9

Common Notion 4

Back 9

4. Things which coincide with one another are equal to one another.

Front 10

Common Notion 5

Back 10

5. The whole is greater than the part.