Posts tagged 'third-binomial'

G.426 third binomial

And if neither of the terms be:term:commensurable <G.372> in length with the:term:rational <G.392>segment set out, let the whole be called a:term:**third binomial** <third-binomial>.

G.427 find the third binomial segment

Find the third binomial segment.

G.436 area contained rational

If an area be contained by a rational segment and the third binomial, the “side” of the area is the irrational segment called a second bimedial.

G.442 square bimedial segment

The square on the second bimedial segment applied to a rational segment produces as breadth the third binomial.

G.446 segment commensurable length

A segment commensurable in length with a binomial segment is itself also binomial and the same in order.

G.452 medial areas incommensurable

If two medial areas incommensurable with one another be added together, the remaining two irrational segments arise, namely either a second bimedial or a side of the sum of two medial areas.