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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 ...
Charles Proteus Steinmetz (born Karl August Rudolph Steinmetz; April 9, 1865 – October 26, 1923) was an American mathematician and electrical engineer and professor at Union College. He fostered the development of alternating current that made possible the expansion of the electric power industry in the United States, formulating mathematical ...
A Steinmetz curve is the curve of intersection of two right circular cylinders of radii and , whose axes intersect perpendicularly. In case of a = b {\displaystyle a=b} the Steimetz curves are the edges of a Steinmetz solid .
It was a popular problem in the 1920s going back to an anecdote, that Steinmetz had solved the problem of finding the volumes of two intersecting cylinders in very short time but without giving hints to his method (Richard Sutton The Steinmetz problem and school arithmetic, Mathematics Teacher, 50, 1957, 434, reference after Martin Gardner ...
Truncated icosahedron, one of the Archimedean solids illustrated in De quinque corporibus regularibus. The five Platonic solids (the regular tetrahedron, cube, octahedron, dodecahedron, and icosahedron) were known to della Francesca through two classical sources: Timaeus, in which Plato theorizes that four of them correspond to the classical elements making up the world (with the fifth, the ...
Steinmetz's equation, sometimes called the power equation, [1] is an empirical equation used to calculate the total power loss (core losses) per unit volume in magnetic materials when subjected to external sinusoidally varying magnetic flux.
The sphere has a volume two-thirds that of the circumscribed cylinder and a surface area two-thirds that of the cylinder (including the bases). Since the values for the cylinder were already known, he obtained, for the first time, the corresponding values for the sphere. The volume of a sphere of radius r is 4 / 3 π r 3 = 2 / 3 ...
The Charles Proteus Steinmetz Memorial Lecture is a series of academic lectures initiated in 1925 [1] in honor of celebrated mathematician and electrical engineer Charles Proteus Steinmetz. To date seventy four addresses have been given on subjects ranging from peace [ 2 ] and educational reform [ 3 ] to nanotechnology [ 4 ] and solar ...