can you explain euclid's second and third axiom?

Dear Student,

 

Euclisd's axioms are following:

(2) If equals are added to equals, the wholes are equal.

If two numbers x and y are equal. Then on adding a constant c to both of these would not hamper the equality.

i.e. x + c = y + c

(3) If equals are subtracted from equals, the remainders are equal.

If two numbers x and y are equal. Then on subtracting a constant c from both of these would not hamper the equality.

i.e. x - c = y - c

 

Thanks.

 

Topper Team