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(Thanks to Karl for the 2019 Easter egg idea :) Welcome to the 2019 Mathologer Christmas video. In this video well investigate that famous and amazing formula over there PI over 4 is equal to 1 minus 1/3 plus 1/5 minus 1/7 and so on. Its usually called a Leibniz formula after Gottfried Wilhelm Leibniz one of the genius inventors of calculus. Sadly, like many other results in mathematics, the formula was not discovered by the mathematician its named after, at least not first of all. In this case, Leibnizs formula was first discovered by the indian mathematician Madhava of Sangamagrama in the 14th century, more than 200 years before Leibniz. Anyway this formula is definitely very beautiful. At the same time its very mysterious. Think about it, pi is of course a circle thing to do with conferences and diameters and stuff. On the other hand, our formula is stitched together from the odd numbers, without a circle in sight anywhere. However, and hardly anybody knows this, when you look