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A bicycle passes along a path and leaves some tracks.
Is it possible to examine the curve of the individual tracks (both tyres have identical tread) and from them say which track was made by the front wheel and which by the back wheel?
Is it possible to say in which direction along the path the bicycle was travelling ?
The image above is just a picture to suggest the context, but if you'd like some accurate curves (tracks) to play with see the HintP is a point on the circumference of a circle radius r which rolls, without slipping, inside a circle of radius 2r. What is the locus of P?
The coke machine in college takes 50 pence pieces. It also takes a certain foreign coin of traditional design...
A and C are the opposite vertices of a square ABCD, and have coordinates (a,b) and (c,d), respectively. What are the coordinates of the vertices B and D? What is the area of the square?