can any one explain me the 3rd axiom:'if equals are added to equals,the wholes are equal ' - Maths - Introduction to Euclid\s Geometry

Question

can any one explain me the 3rd axiom:'if equals are added to
equals,the wholes are equal '

Siddhi Kulkarni · Accepted Answer

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
or
10+5 = 15 + 0
9 + 6 = 7+ 8
*(10 + 5)+ (9+6) = (15 +0)+( 7+8)
30=30
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

can any one explain me the 3rd axiom:'if equals are added to equals,the wholes are equal.'