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Monday, December 22, 2025
A classic Pursuit problem
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One the most famous and classic pursuit problem goes like this: A pursuer, initially at point $(0, b)$, is trying to catch a pursuee, initia...
Saturday, November 8, 2025
Arclength of the Cycloid(s) from velocity vectors
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Cycloid, the curve traced by a point on the rim of a circle rolling on a straight line, probably needs no introduction. Amongst its other di...
Sunday, October 5, 2025
A short note on the Median ratio property in Spherical Geometry
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We know that in a plane triangle, the median is divided by the centroid in the ratio $2:1$. In this post, we address the question of how thi...
Monday, September 22, 2025
A nice analogy in Spherical Geometry with a nicer application to Ceva
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It is well known that the Law of sines has a spherical counterpart . But from the Wiki article, we can infer something even better. That is...
Saturday, September 13, 2025
Sol LeWitt and his Incomplete Cubes
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The recent video on 3Blue1Brown is something I enjoyed after a long time in the channel. While any post, article or video about Burnside...
Drain times with Toricelli's law
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It's easy to calculate the drain time of water in a cylindrical tank using Toricelli's law, $v=\sqrt{2gh}$. In fact, using a simpl...
Friday, June 20, 2025
Visual proof an integer sided $120^\circ$ triangle
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Inspired by Proof Without Words: Integer Right Triangle Hypotenuses Without Pythagoras . Until then Yours Aye Me
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