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:- OX=1/2 XY,
PX=1/2 XZ and OX=PX.
Using Euclid Axiom: 'If the halves of one thing is equal to another then the Wholes are also equal to each other.'
So, OX=1/2 XY and PX=1/2 XZ....... also OX=PX...... Let eq. 1
Therefore, Using the above Axiom in Eq. 1
we get;
XY = XZ.
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