CK's Expository Articles

Created April 10, 2025

I wrote these articles for my videos in order to provide a set of more extensive and scholary documents. Currently, these articles are for my Elementary Geometry Talks series. The page for the Elementary Geometry Talks can be found here. This page provides a catelog of all videos, their corresponding slides and the expository articles.

I have no intention to publich these articles because of the limit of pages, the way of presentations and of course encountering irrrational reviewers who insist that I must cut this and that and rewrite this and that. Instead of going through the unwanted and usually reviewing and publication process, I make all of these articles available to the public here so that I could write my articles freely without irrational interference. Even though there is a Chinese version of these videos, I do not have a plan to rewrite these articles in Chinese because writing these articles using LaTeX has not been an easy task to me.

However, I would not rule out other expository articles for other videos may appear in an unexptected way. I have my fingers acrossed, 😄🤞

Here is a list of expository articles currently available to the public:

• Elementary Geometry
  1. Two Equal Radii Tangent Circles in a Right Triangle, current version December 2, 2023, videos can be found here and here.
  2. Seven Related Problems of Japanese Temple Geometry, current version December 21, 2023, video is here.
  3. A New Approach to Proving the Pythagorean Theorem, current version Augus 3, 2025, videos can be found here, here and here.
  4. Trigonometric Proofs of the Pythagorean Identity, current version April 10, 2025