Measurement of a Circle or Dimension of the Circle (Greek: Κύκλου μέτρησις, Kuklou metrēsis) is a treatise that consists of three propositions, probably...

of its bounding circle times the radius. Following Archimedes' argument in The Measurement of a Circle (c. 260 BCE), compare the area enclosed by a circle...

the areas of figures and the value of π. In Measurement of a Circle, he did this by drawing a larger regular hexagon outside a circle then a smaller regular...

amount of radians in one turn. The use of the mathematical constant π is ubiquitous in mathematics, engineering, and science. In Measurement of a Circle written...

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. The distance between any point of...

the circle is a problem in geometry first proposed in Greek mathematics. It is the challenge of constructing a square with the area of a given circle by...

the method of exhaustion, Archimedes employed it in several of his works, including an approximation to π (Measurement of the Circle), and a proof that...

between a theorem and a problem—the aim of which is to discover a feature of an existing geometrical entity, for example, to find the centre of a circle". The...

obtained with smaller whole numbers. Archimedes of Syracuse, in his Measurement of a Circle, uses these ratios as upper and lower bounds: 1351 780 > 3 > 265...

Measurement of a Circle, referred to this ratio (153/265), as constituting the "measure of the fish", this ratio being an imperfect representation of...