Since 2015 I have been pursuing the idea of visualized mathematics and physics to provide an inventive perspective. The main goal is to make it easier to understand mathematical and physical concepts. In the long term this should reduce learning speed serveral times. The learning progress is evaluated as in the example on the front page with a derivation of pi. It's a derviation only with the use of the pythagorean theorem.
These concepts are used in all chapters.
An example is the addition theorem:
\( sin(\alpha + \beta) = sin(\alpha)\cdot cos(\beta) + cos(\alpha)\cdot sin(\beta) \)
\( cos(\alpha + \beta) = cos(\alpha)\cdot cos(\beta) - sin(\alpha)\cdot sin(\beta) \)