The Sum of Two Prime Numbers Greater than 2 is Even

In the previous posts, we have gone quite deep in delving and proving some complicated theorems. In this post, we go again the the basics. In this short proof, we show that the sum of two prime numbers, both greater than 2 is even. Theorem The sum of two primes, both greater than 2, is […]
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Reflection and the ABCD Theorem

Copies of figures are common in mathematics as well as in real life. Teachers photocopy test papers, artists use figures make sculptures, people look copies of themselves when they look at the mirror. In mathematics, congruent figures are exact copies of themselves. Two figures F and G are congruent if and only if G is […]
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The Perpendicular Bisector of A Chord Passes The Center of a Circle

The perpendicular bisector of a chord of a circle passes through its center. In this post, we prove this claim. Let be the center of the circle. Draw , a chord  and let be its midpoint. Construct perpendicular to latex R as shown above. We show that is on .
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