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A triangle PQR, right angled at P, slides on a horizontal floor
with Q and R in contact with perpendicular walls. What is the locus
of P?
A circular plate rolls inside a rectangular tray making five circuits and rotating about its centre seven times. Find the dimensions of the tray.
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.