5.3 Common Notions: The Axioms of Quantity
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Solved Examples
Step 1
We are given two things equal to the same thing (Rectangle PQRS).
Step 2
According to Axiom 1: "Things which are equal to the same thing are equal to one another."
Step 3
Conclusion: Area(Triangle ABC) = Area(Triangle XYZ).
Final Answer
The areas are equal.