The Quotient of Logarithm of A and Logarithm of B

In the Product of Logarithm of A and Logarithm of B, we have seen that  .  In this post, we will see prove the quotient law of logarithm. We will show that . In proving, we will use the connection between the logarithm notation and exponent notation. Recall in the previous post that if and […]
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Proof that Vertical Angles Are Congruent

A pair of angles whose sides form two lines is called vertical angles. In the figure below, angles 1 and 3 are vertical angles since their sides form lines l and m. Similarly, angles 2 and 4 are vertical angles  for the same reason. Vertical angles are congruent and it is easy to prove. We […]
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A Geometric Proof of an Infinite Series

In the previous post, we have seen how easy it is to prove a problem in Geometry using Algebra. The problem could also be proven geometrically, but the proof is longer. In this post, we will learn how to use Geometry to prove a problem on infinite series. That is, we have to show geometrically, […]
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