Again, for the cubic, we can find A3(z) - -a6z6 1 -az 3.1 -a 2 z 2.1 -a 3 z 3.1 -a4 where the ground forms are indicated by the denominator factors, viz.: these are the cubic itself of degree order I, 3; the Hessian of degree order 2, 2; the cubi-covariant G of degree order 3, 3, and the quartic invariant of degree order 4, o.
Three years later he brought his three great achievements together in compendious form, Quadratura circuli, Cubatio sphaerae, Duplicatio cubi, and as soon as they were once more refuted by Wallis, reprinted them with an answer to the objections, in compliment to the grand-duke of Tuscany, who paid him attentions on a visit to England in 1669 (L.W.
At some period unknown they split up into two branches - Bituriges Cubi and Bituriges Vivisci.
The Bituriges Cubi, called simply Bituriges by Caesar, in whose time they acknowledged the supremacy of the Aedui, inhabited the modern diocese of Bourges, including the departments of Cher and Indre, and partly that of Allier.
Like the Cubi, they also are called liberi by Pliny.
Having attacked the Bituriges Cubi, who appealed to Caesar for assistance, they were forced to submit.