Commentary on Proposition XII.16¶
Back to Proposition XII.16.
It must be carefully observed that the polygon inscribed in the outer circle in this proposition is such that not only do its own sides not touch the inner circle, but also the chords, as :g:`LN <0428.g1:/ L N />`, joining angular points next but one to each other do not touch the inner circle either. In other words, the polygon is the second in order, not the first, which satisfies the condition of the enunciation. This is important, because such a polygon is wanted in the next proposition ; hence in that proposition the exact construction here given must be followed.