Euclids axioms Flashcards
1
Q
Axiom 1
A
Things which are equal to the same thing are equal to one another
2
Q
Axiom 2
A
If equals are added to equals, the wholes are equal
3
Q
Axiom 3
A
If equals are subtracted from equals, the remainders are equal
4
Q
Axiom 4
A
Things which coincide with one another are equal to one another.
5
Q
Axiom 5
A
The whole is greater than the part.
6
Q
Axiom 6
A
Things which are double of the same things are equal to one another
7
Q
Axiom 7
A
Things which are halves of the same things are equal to one another.
8
Q
A system of axioms are called
A
consistent
