Krishnan – Cantor's Archive

Geometry

Understanding Perpendicular Lines and Orthogonal Trajectories

When two lines are perpendicular (or orthogonal) with each other, it means they form a 90° angle when they intersect. If you were taught about perpendicular lines in Algebra or for the SAT, you were probably forced to memorize something like “the slope of the perpendicular line is the negative

Calculus

An Easier Way to Deal with Derivatives

An easier method to evaluate the product and quotient rule, and display their symmetry.

Fibonacci

Why does 1/89 represent the Fibonacci Sequence?

My intention for this article is to provide a look into how the decimal expansion of some fractions yields the Fibonacci sequence.

Fibonacci

How Fibonacci Can Help Us Convert Between Miles and Kilometers

This interesting math trick arises from an interesting empirical observation and the Fibonacci sequence.

Number Theory

Deriving and Understanding Binet’s Formula for the Fibonacci Sequence

The Fibonacci Sequence is one of the cornerstones of the math world. Fibonacci initially came up with the sequence in order to model the…