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The value of parallel coordinates is that certain geometrical properties in high dimensions transform into easily seen 2D patterns. For example, a set of points on a line in n-space transforms to a set of polylines in parallel coordinates all intersecting at n − 1 points.
Print/export Download as PDF; Printable version; In other projects Wikidata item; ... 90th parallel south, the South Pole This page was last ...
Coordinate charts are mathematical objects of topological manifolds, and they have multiple applications in theoretical and applied mathematics. When a differentiable structure and a metric are defined, greater structure exists, and this allows the definition of constructs such as integration and geodesics .
When a coordinate system is chosen in the Euclidean space, this defines coordinates on : the coordinates of a point of are defined as the coordinates of (). The pair formed by a chart and such a coordinate system is called a local coordinate system , coordinate chart , coordinate patch , coordinate map , or local frame .
The counterexamples are equirectangular and equal-area cylindrical projections (of normal aspects). These projections expand meridian-wise and parallel-wise by different ratios respectively. Thus, parallels and meridians cross rectangularly on the map, but these projections do not preserve other angles; i.e. these projections are not conformal.
Map of the French coast, corrected by the Academy of Sciences in 1682. In the year 1634, France ruled by Louis XIII and Cardinal Richelieu, decided that the Ferro Meridian through the westernmost of the Canary Islands should be used as the reference on maps, since El Hierro (Ferro) was the most western position of the Ptolemy's world map. [3]
Latitude Locations 90° N North Pole: 75° N: Arctic Ocean; Russia; northern Canada; Greenland: 60° N: Oslo, Norway; Helsinki, Finland; Stockholm, Sweden; major parts of Nordic countries in EU; St. Petersburg, Russia; southern Alaska United States; southern border of the Yukon and the Northwest territories in Canada; Shetland, UK (Scotland)
Aeronautical chart on Lambert conformal conic projection with standard parallels at 33°N and 45°N. A Lambert conformal conic projection (LCC) is a conic map projection used for aeronautical charts, portions of the State Plane Coordinate System, and many national and regional mapping systems.