Posts tagged 'first-binomial-straight-line'
G.422 first binomial
Given a:term:rational <G.392>segment and a binomial, divided into its terms, such that the:term:square <G.63> on the greater term is greater than the square on the lesser by the square on a segment:term:commensurable <G.372> in length with the greater, then, if the greater term be commensurable in length with the rational segment set out, let the whole be called a:term:**first binomial segment** <first-binomial-straight-line>;
G.423 find the first binomial segment
Find the first binomial segment.
G.434 area contained rational
If an area be contained by a rational segment and the first binomial, the “side” of the area is the irrational segment which is called binomial.
G.440 square binomial segment
The square on the binomial segment applied to a rational segment produces as breadth the first 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.451 rational medial area
If a rational and a medial area be added together, four irrational segments arise, namely a binomial or a first bimedial or a major or a side of a rational plus a medial area.
G.497 apotome binomial segment
The apotome is not the same with the binomial segment.