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Solve the following question using an appropriate Euclid's axiom:
In the figure:
$AB = BC$,$M$ is the mid-point of $AB$ and $N$ is the mid-point of $BC$. Show that $AM = NC$.

How many dimensions does a line have?

State whether the following statement is true or false:
Things which are double of the same thing are equal to one another.

$A$ surface is that which has $\ldots \ldots \ldots$ only.

Euclid divided his famous treatise "The Elements" into:

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