Complex Numbers in Polar Form – Formulas and Examples

Complex Numbers in Polar Form – Formulas and Examples

By now we are familiar with writing complex numbers in the form z=a+bi. However, there are alternative ways of writing complex numbers that can be convenient when solving mathematical operations with these numbers. Here, we will learn to write complex numbers in polar...
Conic Sections – Formulas and Diagrams

Conic Sections – Formulas and Diagrams

Conic sections are obtained by the intersection of the surface of a cone with a plane. We can have four types of conic sections that are defined based on the angle formed between the plane and the base of the cone. The four types of conic sections are the circle,...
Equilateral, Isosceles and Scalene Triangles

Equilateral, Isosceles and Scalene Triangles

A triangle is a three-sided polygon that has three vertices and three interior angles. The sum of the interior angles in a triangle is always equal to 180 degrees. If we take into account the length of their sides, we can distinguish three types of triangles:...
Stellations – Diagrams and Examples

Stellations – Diagrams and Examples

Stellations are formed when we extend the sides of a polygon and those sides intersect each other. The number of times the sides intersect outside the polygon determines the degree of the stellation. Here, we will learn more details about stellations. We will use...
Missing Square Puzzle – Diagram and Solution

Missing Square Puzzle – Diagram and Solution

The missing square puzzle is an optical illusion found in mathematics that is used to teach reasoning using the axioms of geometry and textual descriptions rather than simply relying on geometric figures. The puzzle consists of two right triangles with dimensions...