Return to Euclid’s Elements of Geometry
Axiom 1.1. Things which are equal to the same thing are also equal to one another.
Axiom 1.2. If equals be added to equals, the wholes are equal.
Axiom 1.3. If equals be subtracted from equals, the remainders are equal.
Axiom 1.4. Things which coincide with one another are equal to one another.
Axiom 1.5. The whole is greater than the part.
Note: Axioms may sometimes be called “Common Notions”.
Return to Euclid’s Elements of Geometry
The lessons published on this site are freely available to read. If you wish to move from reading to formal study — with graded assessments, academic records, and the support of the Academy — you may enroll at any time. Enrollment is open year round, to students of all ages.
