https://www.researchgate.net/publication/291333791_Volume_One_Geometry_without_Multiplication
Geometry-Do is now written through the red-belt level. Can anybody here find any fault with the theorems that I have proven? Have I omitted anything? These theorems should include everything about triangles and parallelograms but not circles and not involving similarity or the multiplication operation.
Also, I am writing the entrance exam to become a shodan or first-degree black-belt geometer. Can you suggest problems that are challenging but still solvable with red-belt tools?
Shodan geometry will be Book III of The Elements and extensions of Euclid's theory; Book III is mostly quadrature theory but I will include theorems about angles too.
Nidan geometry will be about the nine-point circle.
Sandan geometry I will have to consult with the masters in the field before I write about it.
Book Volume One: Geometry without Multiplication