Posts tagged 'fourth-binomial'
G.428 fourth binomial
Again, if the:term:square <G.63> on the greater term be greater than the square on the lesser by the square on a:term:segment <G.4> incommensurable in length with the greater, then, if the greater term be:term:commensurable <G.372> in length with the:term:rational <G.392> segment set out, let the whole be called a:term:**fourth binomial** <fourth-binomial>;
G.429 find the fourth binomial segment
Find the fourth binomial segment.
G.437 area contained rational
If an area be contained by a rational segment and the fourth binomial, the “side” of the area is the irrational segment called major.
G.443 square major segment
The square on the major segment applied to a rational segment produces as breadth the fourth 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.