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'Making More Tracks' printed from https://nrich.maths.org/
We know the coordinates of the rear wheel. We need to find the
coordinates of the front wheel. To do this think about the
instantaneous direction of travel of the rear wheel of the bike at
any moment in time as it travels along its curve. How far away and
in what direction is the front wheel located?
For the conjecturing, always relate back to the physical experience
of riding a bike.