Posts tagged 'fourth-apotome'

G.471 fourth apotome

Again, if the:term:square <G.63> on the whole be greater than the square on the annex by the square on a:term:segment <G.4> incommensurable with the whole, then, if the whole be:term:commensurable <G.372> in length with the:term:rational <G.392> segment set out, let the apotome be called a:term:**fourth apotome** <fourth-apotome>;

G.472 find the fourth apotome

Find the fourth apotome.

G.480 area contained rational

If an area be contained by a rational segment and a fourth apotome, the “side” of the area is minor.

G.486 square minor segment

The square on a minor segment applied to a rational segment produces as breadth a fourth apotome.

G.494 rational area medial

If from a rational area a medial area be subtracted, the “side” of the remaining area becomes one of two irrational segments, either an apotome or a minor segment.

G.589 circle diameter rational

If in a circle which has its diameter rational an equilateral pentagon be inscribed, the side of the pentagon is the irrational segment called minor.