example for axiom 1 with pictures
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Axiom 1: Things which are equal to the same thing are equal to one another.
For example:
Draw a line segment AB of length 10cm. Draw a second line CD having length equal to that of AB, using a compass. Measure the length of CD. We see that, CD = 10cm.
We can write it as, CD = AB and AB = 10cm implies CD = 10cm.
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