...and Diocles, of both of whom I have likewise spoken. with eulogium on occasion of the two particular problems of the duplication of the cube, and the trisection of an angle, and who reappear in this place on other accounts. AD 385. We shall meet with some other geometricians...

...geometry. In it originated the conic sections, the geometrical analysis, geometric loci, and the discussion of the celebrated problems of the duplication of the cube, and the trisection of an angle. The geometers of this school, finding that the ingenuity of their predecessors had nearly exhausted...

...called it the Conchoid, from a Greek word signifying "a shell;" it was employed by him in solving the problems of the duplication of the cube, and the trisection of an angle. To show how the curve may be applied to the latter problem, let В С А (fig. "2) be the angle to...

...geometry. In it originated the conic sections, the geometrical analysis, geometric loci, and the discussion of the celebrated problems of the duplication of the cube, and the trisection of an angle. The geometers of this school, finding that the ingenuity of their pretlecessors had nearly exhausted...

...were carried on with such distinguished elegance and success. Nicomedes. Nicomedes (about 200 B. c.) is well known as one of those geometers who engaged...E 2 was named the Conchoid, from a resemblance, in form, to the outline of a shell. The mechanical scription of it which he devised, is, perhaps, from...

...called it the Conchoid, from a Greek word signifying "a shell;" it was employed by him in solving the problems of the duplication of the cube, and the trisection of an angle. To show how the curve may be applied to the latter problem, let В С А (fig/2) be the angle to be...

...curves, and to the investigation of many of their properties, in seeking to resolve the two famous problems of the duplication of the cube, and the trisection of an angle, for which the artifices of the ordinary or plane geometry were insufficient. Two solutions of the former...

...Sections, the properties of which were investigated in a similar manner. In this school originated also the celebrated problems of the duplication of the cube and the trisection of an angle, the first of which was solved mechanically by Plato, and geometrically by his pupil, Mencchme, by the...

...the Researches for determining the Quadrature of the Circle, to which was appended, An Account of the Problems of the Duplication of the Cube, and the Trisection of an Angle. In the following year he was admitted a member of the Academy of Berlin; and in 1758 he published the...

...famous isoperimetrical problems, t rom which originated the Calculus of Variations, as well as the noted problems of the duplication of the cube, and the trisection of an angle. It includes the solution of all geometrical problems, which cannot be solved by the circle and straight...