Euclid, Elements of Geometry, Book I, Common Notions
(Edited by Sir Thomas L. Heath, 1908)

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

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

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

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

The whole is greater than the part.
Book I: Euclid, Book I (ed. Sir Thomas L. Heath, 1st Edition, 1908)
Next: Euclid, Book I, Proposition 1 (ed. Sir Thomas L. Heath, 1st Edition, 1908)
Previous: Euclid, Book I, Postulates (ed. Sir Thomas L. Heath, 1st Edition, 1908)
Axioms or Common Notions in other editions: