Triangle (EntityTopic, 17)
From Hi.gher. Space
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| + | {{Shape|Triangle|''No image''|2|3, 3|0|N/A|N/A|[[Line (object)|E]]T|1<sup>1</sup> x<sup>y</sup>|N/A|N/A|N/A|3}} | ||
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A '''triangle''' is a two-dimensional [[simplex]]. | A '''triangle''' is a two-dimensional [[simplex]]. | ||
The triangle is important as all [[polygon]]s can be defined as the [[union]] of a [[set]] of triangles, and all [[polytope]]s in greater than two dimensions can be defined as the [[hypervolume]] bounded by the union of a set of triangles. | The triangle is important as all [[polygon]]s can be defined as the [[union]] of a [[set]] of triangles, and all [[polytope]]s in greater than two dimensions can be defined as the [[hypervolume]] bounded by the union of a set of triangles. | ||
| - | + | == Geometry == | |
| + | === Equations === | ||
| + | *The area of an arbitrary triangle is: | ||
| + | <blockquote>absin(C)2<sup>-1</sup></blockquote> | ||
| + | *where a and b are two sides of the triangle and C is the angle between them. | ||
| + | |||
| + | {{Polygons}} | ||
| + | {{Rotope Nav|2|3|4|II<br>Square|I'<br>Triangle|(II)<br>Circle}} | ||
Revision as of 16:01, 17 June 2007
A triangle is a two-dimensional simplex.
The triangle is important as all polygons can be defined as the union of a set of triangles, and all polytopes in greater than two dimensions can be defined as the hypervolume bounded by the union of a set of triangles.
Geometry
Equations
- The area of an arbitrary triangle is:
absin(C)2-1
- where a and b are two sides of the triangle and C is the angle between them.
Template:Polygons Template:Rotope Nav
