can any one explain me the 3rd axiom:'if equals are added to equals,the wholes are equal.'
well, if we have to definite an axiom, we say that it is a proposition that is assumed without proof for the sake of studying the consequences that follow from it. So ....
this is how i can represent this in an eqation
A = B
C = D
then A+C = B+D
10+5 = 15 + 0
9 + 6 = 7+ 8
*(10 + 5)+ (9+6) = (15 +0)+( 7+8)
ok...here it is in easier words..
in two equations ,the sum of RHS_1 and RHS_2 will be equal to the sum ofLHS_1 and LHS_2....
i hope this was useful...