Angle trisection with coefficients in the field generated by these numbers. Therefore, any number that is constructible by a sequence of steps is a root of a minimal polynomial whose degree is a power of two. Note also that radians (60 degrees, written 60°) is constructible. The argument below shows that it is impossible to construct a 20° angle. This implies that a 60° angle cannot be trisected, and thus that an arbitrary angle cannot be trisected. Denote the set of rational numbers by . If 60° could be trisected, the degree of a minimal polynomial of over would be a power
What Is the Third Estate? estates of the clergy and aristocracy. Sieyès stated that the people wanted genuine representatives in the Estates-General, equal representation to the other two orders taken together, and votes taken by heads and not by orders. These ideas came to have an immense influence on the course of the French Revolution. The pamphlet is organized around three hypothetical questions and Sieyès' responses. The questions and responses are: Throughout the pamphlet, Sieyès argues that the first and second estates are simply unnecessary, and that the Third Estate is in truth France's only legitimate estate, representing as it does the entire population. Thus,