Descending from the `` abstract and noble '' to the `` mechanical and earthly '' , the three classes were : In the end the use of neusis was deemed acceptable only when the two other , higher categories of constructions did not offer a solution .
Descending from the `` abstract and noble '' to the `` mechanical and earthly '' , the three groups were : In the end , the Greek mathematicians thought that using a neusis was acceptable only when the two other , higher groups of constructions did not offer a solution .