In his study of the quadrature and duplication-problems, Hippocrates contributed much to the geometry of the circle.

Tags: study, Hippocrates, contributed, geometry, circle

Bryson of Heraclea, a contemporary of Antiphon, advanced the problem of the quadrature considerably by circumscribing polygons at the same time that he inscribed polygons. He erred, however, in assuming that the area of a circle was the arithmetical mean between circumscribed and inscribed polygons.

Tags: Bryson, contemporary, advanced, problem, considerably, circumscribing, polygons, time, inscribed

It is now generally admitted that the duplication problem, as well as the trisection and quadrature problems, cannot be solved by means of the ruler and compass only.

Tags: now, admitted, duplication, problem, trisection, problems, solved, means, ruler

Another great geometer was Dinostratus, the brother of Menæchmus and pupil of Plato. Celebrated is his mechanical solution of the quadrature of the circle, by means of the quadratrix of Hippias.

Tags: Another, great, geometer, Dinostratus, brother, pupil, Plato, mechanical, solution

Yes, I'd like to receive Word of the Day emails from YourDictionary.com

By continuing, you agree to our Terms of Use and Privacy Policy.

Please set a username for yourself. People will see it as Author Name with your public flash cards.