The Triangle Angle Sum Theorem

Introduction One of the most elementary concepts we have learned about triangles in Geometry is the angle sum theorem. The theorem states that the sum the three interior angles of a triangle is . We can easily see this by duplicating or cutting the corners of a triangle and meeting the angles at a particular […]
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What are mathematical proofs, really?

Introduction In an elementary class, the teacher asked the pupils to do an experiment. He told them to plant flowers and group the flowers into two. ┬áThe first group was to be placed outdoors where there is sunlight. The other group was to be kept in a dim room. After a while, the pupils observed […]
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An Intuitive Proof to The Infinitude of Primes

Introduction Prime numbers are numbers with only two factors, and itself. Eleven is prime since its factors are only and . Numbers that are not prime are called composite. Fifteen is composite because it has more than factors. The factors of are , , , and . As you count farther, you will observe that […]
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