понеділок, 16 грудня 2019 р.

Задачі з планіметрії на малюнках.


Эти маленькие кружочки движутся не по кругу, а по прямой? Доказательство: И ещё из этой серии:Disks moving in a square grid trace out an interesting pattern as they pass over a rotating wheel. Some traces appear to go towards the centre only to be flung back out, in some cases forming a sharp corner. A few of the traces form loops, as if...A Reuleaux triangle is built from three circles. As it rolls, its height is always the radius of one of the circles - a constant. This makes it a curve of constant width, just like a circle. [more] [code]

a visual proof that ¼ + 1/16 + 1/64 + … = 1/3 [code]In MC Escher’s Metamorphose, he transforms square tiles into hexagons by manipulating his iconic lizard pattern. These then go on to become honeycombs and three dimensional buildings. Inspired by Escher, this animation also alternates between a... For any triangle, you can draw a circle that fits perfectly inside (the incircle) and also one that connects all its corners (the circumcircle). This shows the path of the centre of the incircle, as a triangle is shuffled around its circumcircle....

















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