Axiom:Euclid's Common Notions

Common Notions
This is a set of axiomatic statements that appear at the start of Book $\text{I}$ of by Euclid.


 * $(1):\quad$ Things which are equal to the same thing are also equal to each other.
 * $(2):\quad$ If equals are added to equals, the wholes are equal.
 * $(3):\quad$ If equals are subtracted from equals, the remainders are equal.
 * $(4):\quad$ Things which coincide with one another are equal to one another.
 * $(5):\quad$ The whole is greater than the part.