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it is shown is a=2b and c=2b then a=c which eucild's axiom illutrates this statement
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it is shown is a=2b and c=2b then a=c which eucild's axiom illutrates ...
Eucild's Axiom and Proving a=c using a=2b and c=2b
Eucild's Axiom
Eucild's Axiom is also known as the Reflexive Property of Equality. It states that every quantity is equal to itself. This means that if a is a quantity, then a=a. This axiom is the fundamental basis of all mathematical equations and inequalities.
Proving a=c using a=2b and c=2b
Given a=2b and c=2b, we need to prove that a=c.
Using the substitution property of equality, we can substitute 2b for a in the equation a=c.
Substituting 2b for a, we get:
2b=c
Now, using the commutative property of equality, we can rearrange the equation to get c=2b.
Comparing this with c=2b, we can see that a=c.
Therefore, we have proven that if a=2b and c=2b, then a=c using the Eucild's axiom and the properties of equality.
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it is shown is a=2b and c=2b then a=c which eucild's axiom illutrates ...
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it is shown is a=2b and c=2b then a=c which eucild's axiom illutrates this statement
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