Origin Q.E.D. Volume 38 Part 2 「十七」. I highly recommend this chapter.
Here's a quote from near the end of the story (no spoilers).
My friend Suthee posted the Thai version on Facebook:
That's a bad translation, but can we actually draw a regular 17-gon with a markless straightedge and navigational compass? Assume the compass is a perfect circle of unknown radius with a needle that always points north.
Poncelet-Steiner theorem: Whatever can be constructed by straightedge and compass can be constructed by straightedge alone if a circle and its center are given.
There should be a simpler solution, but this is the first one I could think of.