Monthly Archives: December 2019

Continue the same topic of the previous post in this series, a line is drawn between point L and the tangent point M between the full circle and the quarter circle, as shown in the following figure. Prove $\triangle{HLM}$ is a right triangle. Based on … Continue reading →

Continue the topic in the previous post of this series, we add another circle inscribed in the area bounded by one side of the unit squares, the simi-circle and the quarter-circle, as the following. What is the radius of the … Continue reading →

Look at the following figure, a simi-circle is inscribed between the quarter circle and one side of the unit square. What the radius of the semi-circle? Obviously, $G$ is the center of the semi-circle, line $\overline{CG}$ crosses $F$, the tangent … Continue reading →

Today, we talk about a classic problem of packing circles in a square. Given a unit square, you need to make 3 congruent, non-overlapping circles that are as big as possible. It has been proven that the arrangement of 3 circles must be as the following. Can … Continue reading →