Write the Axioms followed in Euclid’s Geometry
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Things are equal to one another if those things are equal to the same thing. The wholes are equal if equals are added to equals. The remainders are equal if equals are subtracted from equals. Things are equal to one another if they coincide with one another.
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Step-by-step explanation:
● THINGS WHICH ARE EQUAL TO THE SAME THING ARE EQUAL TO ONE ANOTHER.
● IF EQUAL ARE ADDED TO EQUAL THEN WHOLE ARE EQUAL.
● IF EQUALS ARE SUBTRACTED FROM EQUAL THEN THE RESULT IS ALSO EQUAL.
● THINGS WHICH CONCIDE TO ONE ANOTHER ARE EQUAL .
● THE WHOLE IS GREATER THAN THE PART.
RESPECTIVE EXAMPLES:-
》 A = B
B = C
SO, A = C
》A = B
A + C = C + B
》A = A
A - C = A - C
》see the attachment
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