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Iβve come across a geometry problem which I think doesnβt have an answer. Am I wrong? Hereβs the problem: Which of the following shapes cannot be obtained by cutting a β¦

A special case of Poncelet's porism states that whenever a triangle in inscribed in a circle and circumscribes another circle, there exist an infinite family of such triangles.

We can β¦

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Thales' Theorem is a simple yet important geometrical result which describes the relationship between inscribed right angles and circles. A special case β¦

Through brute force Desmos, one may suspect the following. $\lim\limits_{n\to\infty}2\sum\limits_{k=1}^n\frac{\sin k}k+1=\pi$. If this is true, is there an intuitive way to understand it?

if we take a look at value of $\tan^{-1} 100$ , using a calculator we can say it is 89.427. then if we go to $\tan^{-1} 1000$ , we get β¦

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