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What is Euclidean geometry mean in math?
Euclidean geometry is the traditional geometry: it is the geometry of a plane surface, as developed by Euclid. Among other things, it is based on Euclid's parallel postulate which said (in effect) that given a line and a point outside that line there could only be one line through that point that was parallel to the given line. It has since been discovered that both alternatives to that postulate - that there are many such lines possible and that there are none - give rise to consistent geometries. These are non-Euclidean geometries.
What artists have used geometry to great advantage in their work?
One problem with geometry, is that most people learn Euclidean geometry. It is intuitive but his parallel postulate creates great problems for mathematicians. It can neither be proved or disproved. There are consistent geometries if you accept that postulate, but there are equally consistent geometries for the two possible negations (no parallel lines and many). Artists are not necessarily constrained by geometric "realities" or restrictions. And many have either used geometry or ignored it to great effect. For example, many renaissance artists used projective geometry and the idea of a vanishing point in their art. This gave their work a better 3-d perspective than earlier works which often looked flat. Images in the background used to be unrealistically large and so on. In the 20th century, artists like MC Escher played on geometry, perspective, tessellation (tiling). Finally, many cubists chose not to use "normal" geometry, but chose to simultaneously portray things from several perspectives at the same time.
What is a characteristic of Euclidean geometry?
One main characteristic of non-Euclidean geometry is hyperbolic geometry. The other is elliptic geometry. Non-Euclidean geometry is still closely related to Euclidean geometry.
What is the electron geometry for OF2?
molecular geometry is bent, electron geometry is tetrahedral
What is the structural geometry of NOF?
Molecular geometry will be bent, electron geometry will be trigonal planar
