Euclid and Beauty

 The fact that Euclid and Euclidean geometry have been studied for over two millennia shows how much societies over decades value his work. I did some digging on the content of his book "The Elements" and some of the theorems in it include the pythagorean theorem, the law of sines and cosines, the area of a triangle, and more. In number theory, I also covered more of his work like the Euclidean algorithm, Euclid's lemma, Euclid's theorem, and more. His proofs were very rigorous and thorough. So why is Euclid and his book "The Elements" still celebrated and studied today? Simply because his theorems and work, especially those in geometry, encompasses so many real world applications and is the basis for so many mathematicians after him.

In my opinion, beauty is subjective. I might think an outfit looks beautiful on a girl but another person may not. That being said, there are different types of beauty. Appearance is a type of beauty, but there is also beauty in elegance, depth, simplicity, and harmony. In math, I see a beauty in a concise and clean proof. That being said, yes I do beauty in Euclid's work. Logical clarity plays a role in elegance in Euclid's work. I just find it fascinating and inspirational that Euclid through his timeless work "The Elements," laid a foundation for the rigorous area of geometry, leaving a lasting legacy that continues to shape our understanding of mathematics today.