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Steinmetz solid (intersection of two cylinders) In geometry, a Steinmetz solid is the solid body obtained as the intersection of two or three cylinders of equal radius at right angles. Each of the curves of the intersection of two cylinders is an ellipse. The intersection of two cylinders is called a bicylinder.
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 .
The definitions and results in this section are taken from the 1913 text Plane and Solid Geometry by George A. Wentworth and David Eugene Smith (Wentworth & Smith 1913).. A cylindrical surface is a surface consisting of all the points on all the lines which are parallel to a given line and which pass through a fixed plane curve in a plane not parallel to the given line.
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 ...
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 ...
JERUSALEM (Reuters) -Israeli mining magnate Beny Steinmetz has been detained in Cyprus on a Romanian-issued arrest warrant, a spokesperson for Steinmetz said on Sunday. Steinmetz is at the centre ...
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 ...