Question:
Euclid's which axiom illustrates the statement that when x + y = 15, then x + y + z = 15 + z?
(a) first
(b) second
(c) third
(d) fourth
Solution:
Euclid's second axiom states that if equals be added to equals, the wholes are equal.
x + y = 15
Adding z to both sides, we get
x + y + z = 15 + z
Thus, Euclid's second axiom illustrates the statement that when x + y = 15, then x + y + z = 15 + z.
Hence, the correct answer is option (b).
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