On the Sphere and Cylinder information

On the Sphere and Cylinder (Greek: Περὶ σφαίρας καὶ κυλίνδρου) is a treatise that was published by Archimedes in two volumes c. 225 BCE. It most notably...

versus sphere surface)—has created some ambiguity with terminology. The two concepts may be distinguished by referring to solid cylinders and cylindrical surfaces...

Archimedes's On the Sphere and Cylinder by the method of exhaustion. Zenodorus was the first to state that, for a given surface area, the sphere is the solid...

spheres inside a cylinder of specified diameter and length. For cylinders with diameters on the same order of magnitude as the spheres, such packings result...

favorite mathematical proof, that the volume and surface area of the sphere are two-thirds that of an enclosing cylinder including its bases. He also mentions...

extension is the Minkowski content of the surface. The below given formulas can be used to show that the surface area of a sphere and cylinder of the same radius...

notation and it is easy to convert between them: Add the sphere and cylinder numbers together to produce the converted sphere Invert the sign of cylinder value...

in On the Sphere and Cylinder. One of the remarkable things about the Method is that Archimedes finds two shapes defined by sections of cylinders, whose...

in the finite-length cylinder design. The magnitude of the uniform field for a sphere also increases to 4/3 the amount for the ideal cylindrical design...

who gave the axiom of Archimedes its name because it appears as Axiom V of Archimedes’ On the Sphere and Cylinder. The notion arose from the theory of...

circular cylinder is drilled through the center of the sphere. It is a counterintuitive fact that this volume does not depend on the original sphere's radius...

The most readily observable case of the Magnus effect is when a spinning sphere (or cylinder) curves away from the arc it would follow if it were not spinning...

on Archimedes' work: On the Sphere and Cylinder I-II. Measurement of the Circle (Latin: In Archimedis Dimensionem Circuli). On the Equilibrium of Planes...

bodies like spheres and cylinders. The drag coefficient of a sphere will change rapidly from about 0.5 to 0.2 at a Reynolds number in the range of 300000...

radius of the swept sphere and the segment that the sphere is swept across). It has traits similar to a cylinder, but is easier to use, because the intersection...

[dubious – discuss] In On the Sphere and Cylinder, he gives upper and lower bounds for the surface area of a sphere by cutting the sphere into sections of equal...

a sphere was first obtained by Archimedes in his work On the Sphere and Cylinder. The formula is: A = 4πr2  (sphere), where r is the radius of the sphere...

spheres, two cylinders, a flat base module, and a hinged lidded box module. The modules have molded positions for the six objects, with the spheres resting...

in cases where a convex surface (male cylinder or sphere) contacts a concave surface (female cylinder or sphere: bore or hemispherical cup). Excessive...

compass and straightedge. The difficulty of the problem raised the question of whether specified axioms of Euclidean geometry concerning the existence...

somewhat in his The Quadrature of the Parabola, The Method, and On the Sphere and Cylinder. It should not be thought that infinitesimals were put on a rigorous...

from speculation based on the work's title. Conjecture based on later accounts has suggested it discussed cones and cylinders, among other subjects. Euclid...

Euclid The Thirteen Books of Euclid's Elements Archimedes On the Sphere and Cylinder Measurement of a Circle On Conoids and Spheroids On Spirals On the Equilibrium...

or asphere (often labeled ASPH on eye pieces) is a lens whose surface profiles are not portions of a sphere or cylinder. In photography, a lens assembly...

and absorption by particles. In case of geometries for which analytical solutions are known (such as spheres, cluster of spheres, infinite cylinders)...