Book I Common Notions

Common Notion 1

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

Common Notion 2

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

Common Notion 3

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

Common Notion 4

[7] Things which coincide with one another are equal to one another.

Common Notion 5

[8] The whole is greater than the part.