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Solid Geometry is a 2002 short TV film directed by Denis Lawson and starring his nephew Ewan McGregor and Ruth Millar. It is based on a short story by Ian McEwan published in collection First Love, Last Rites. It was made for the Scottish Television/Grampian Television New Found Land series, first shown by them on 3 October 2002.
A solid figure is the region of 3D space bounded by a two-dimensional closed surface; for example, a solid ball consists of a sphere and its interior. Solid geometry deals with the measurements of volumes of various solids, including pyramids , prisms (and other polyhedrons ), cubes , cylinders , cones (and truncated cones ).
In 1935 he published the solid geometry textbook Modern Pure Solid Geometry [10] and became a full professor at the University of Oklahoma. He continued teaching there until his retirement in 1951. College Geometry was continually in print without revision for over 25 years, but a revised edition was published in 1952. [5]
In the 5th century AD, Zu Chongzhi and his son Zu Gengzhi established a similar method to find a sphere's volume. [2] Neither of the approaches, however, were known in early modern Europe. The transition from Cavalieri's indivisibles to Evangelista Torricelli 's and John Wallis 's infinitesimals was a major advance in the history of calculus .
In solid geometry, the sphericon is a solid that has a continuous developable surface with two congruent, semi-circular edges, and four vertices that define a square. It is a member of a special family of rollers that, while being rolled on a flat surface, bring all the points of their surface to contact with the surface they are rolling on.
In geometry, a net of a polyhedron is an arrangement of non-overlapping edge-joined polygons in the plane which can be folded (along edges) to become the faces of the polyhedron. Polyhedral nets are a useful aid to the study of polyhedra and solid geometry in general, as they allow for physical models of polyhedra to be constructed from ...
The solid appeared when some mathematicians mistakenly constructed the rhombicuboctahedron: two square cupolas attached to the octagonal prism, with one of them rotated in forty-five degrees. [17] The thirteen solids have the property of vertex-transitive , meaning any two vertices of those can be translated onto the other one, but the ...
Clifford's circle theorems (Euclidean plane geometry) Commandino's theorem ; Constant chord theorem ; Conway circle theorem (Euclidean plane geometry) Crossbar theorem (Euclidean plane geometry) Dandelin's theorem (solid geometry) De Bruijn–Erdős theorem (incidence geometry) De Gua's theorem ; Desargues's theorem (projective geometry)