Common Notions

Question 1

1. Things which equal the same thing

Answer 1

also equal one another.
A = B and C = B therfore, A = C

Question 2

2. If equals are added to equals,

Answer 2

then the wholes are equal.
A = B then A + C = B + C

Question 3

3. If equals are subtracted from equals,

Answer 3

then the remainders are equal.
A = B then A - C = B - C

Question 4

4. Things which coincide with one another

Answer 4

equal one another.

Question 5

5. The whole is

Answer 5

greater than the part.
A > A - C