Here is my next puzzle! Sorry that it’s been greatly delayed.
I mentioned previously the problem of constructing the midpoint of a given circle, using only ruler and compass. One student solved it nearly immediately (congratulations!), so here I offer a more general problem.
Sylvy’s puzzle #5
Given a parabola in the plane, construct its vertex using straightedge-and-compass construction (sometimes called `ruler-and-compass’ construction).
It seems that my first-year students (who form a large part of the target audience for my puzzles) are unfamiliar with the `countable’ and `uncountable’ terminology that I used in puzzle #4. …oops!
Instead of introducing it now, I’ll give a completely different puzzle which was originally shown to me by a friend (more on this later).
Sylvy’s weekly puzzle #4a
Show by means of a `geometrical drawing’ that
deadline: 11am Monday 9th of November
how to hand-in: send typed solution by email or put hand-written solution into the folder on my office door
prize: I’m very pleased to announce that the winner of this puzzle will get a book of mathematical puzzles!!