GeoDom

 Introduction and notation For a triangle with sides $a,b,c$ opposite angles $\alpha,\beta,\gamma$, the classical Mollweide pair is $$\frac...

  For some time I have been studying the recurring role of half-angle formulas in geometry, rational parametrization, and integration. Some...

A problem from a vietnamese Facebook group . Problem . Let $ABC$ be a triangle, and let its incircle, with center $I$, be tangent to $BC$ at...

Sean $ABC$ un triángulo y $D$ el punto de tangencia de su incírculo con el segmento $BC$. Sean $P$ un punto del segmento $AB$ y $Q$ un punto...

This problem was originally posted on Facebook . Problem (Ivan Pavlov) . Let \(ABC\) be a triangle with incenter \(I\). Let \(A_1,B_1,C_1\) ...

When developing the Unified Substitution Method (USM) for integration (see arXiv:2505.03754 ), the primary goal was methodological: to crea...

Introduction The standard objective of a substitution involving a quadratic radical is rationalization. We replace the radical by a rational...