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The generation of a bicylinder Calculating the volume of a bicylinder. A bicylinder generated by two cylinders with radius r has the volume =, and the surface area [1] [6] =.. The upper half of a bicylinder is the square case of a domical vault, a dome-shaped solid based on any convex polygon whose cross-sections are similar copies of the polygon, and analogous formulas calculating the volume ...
When the inscribing cylinder is tight and has a height =, so that the sphere touches the cylinder at the top and bottom, he showed that both the volume and the surface area of the sphere were two-thirds that of the cylinder. This implies the area of the sphere is equal to the area of the cylinder minus its caps.
Green line has two intersections. Yellow line lies tangent to the cylinder, so has infinitely many points of intersection. Line-cylinder intersection is the calculation of any points of intersection, given an analytic geometry description of a line and a cylinder in 3d space. An arbitrary line and cylinder may have no intersection at all.
A cylindric section is the intersection of a cylinder's surface with a plane. They are, in general, curves and are special types of plane sections. The cylindric section by a plane that contains two elements of a cylinder is a parallelogram. [4] Such a cylindric section of a right cylinder is a rectangle. [4]
The condition of balance ensures that the volume of the cone plus the volume of the sphere is equal to the volume of the cylinder. The volume of the cylinder is the cross section area, times the height, which is 2, or . Archimedes could also find the volume of the cone using the mechanical method, since, in modern terms, the integral involved ...
John Russell Fearn (5 June 1908 — 18 September 1960) was a British writer, one of the first to appear in American pulp science fiction magazines.A prolific author, he published his novels also as Vargo Statten and with various pseudonyms including Thornton Ayre, Polton Cross, Geoffrey Armstrong, John Cotton, Dennis Clive, Ephriam Winiki, Astron Del Martia.
Critic Robert Reginald has described the series as the "ultimate soap opera of science fiction" [20] and standard "pulp science fiction, action stories with minimal characterization, awful dialog, but relatively complex plot development. The emphasis is always on man's expanding horizons, the wonder of science and space, the great destiny of ...
Mission of Gravity, first published as a serial during 1953, was named best foreign novel by the Spanish Science Fiction Association in 1994 and it was a finalist for a 50-year Retro Hugo Award in 2004. [5] The Hal Clement Award for Young Adults for Excellence in Children's Science Fiction Literature was presented in Clement's name from 1992 to ...