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matthen:Draw a straight line, and then continue it for the same length but deflected by an angle. If

gravitazero:matthen:.If you roll a circle inside one 3 times its size, it will actually trace out a

matthen:Unrolling these circles fills a triangle with base 2 π r and height r (where r is the radius

matthen:The Cycloid [red] is generated by tracing a point on a rolling circle. This animation shows

matthen: The osculating circle at a point on a moving sine wave. This is the circle that best appro

matthen: If a mathematician wants to cross a road, they will think carefully about their optimal pa

matthen:An interesting diagram showing the family tree of Indo-European languages. At the bottom is

matthen:Adding two identical waves, shifted by different amounts, to give a new wave. The waves inte

matthen: How would you arrange 100 dots so that no two were too close, but no dot was too far from t

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