Euclidean Geometry
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A piece of fundamental knowledge in solving geometry problems
Hello! Welcome to my first article ever on Euclidean geometry. This article and many more to come are beginner-friendly and hence appropriate for those who are even on their first-day learning. We will start with the very basic concept of high school Euclidean geometry and build our understanding throughout time. At the end of the day, hopefully, we can tackle some of the hardest olympiad questions using only our established theorems.
To preserve continuity in reading and simplify future references, we will caption every figure and theorem by numbers. For example, in this article, we have Figure 1.1 and Theorem 1.1. All of the images are by the author unless otherwise indicated.
Ok, let’s get started.
What is Euclidean Geometry?
Euclidean geometry is named after the infamous Greek mathematician Euclid of Alexandria, often referred to as the Father of Geometry. Very little is known about his life, but his most famous work — The Elements, a collection of 13 books — has been recognized for countless generations until now. Put simply, Euclidean geometry is the study of points, lines, planes, and other geometric figures.
