True length: Difference between revisions

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True length in geometry refers to any distance between points that is not foreshortened by the view type. In a three dimensional Euclidean space, lines with true length are parallel to the projection plane.

For example, in a top view of a pyramid, which is an [[orthographic projection (geometry)], the base edges (which are parallel to the projection plane) have true length, whereas the remaining edges in this view are not true lengths. The same is true with an orthographic side view of a pyramid.

Examples of views in which all distances between points are true length are net (polyhedron) developments. Four basic types of nets are lay out, roll out, radial, and triangulation, and all distances between points in such spaces are

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 True length in [[geometry]] refers to any distance between points that is not foreshortened by the view type. In a three dimensional [[Euclidean]] space, lines with true length are [[parallel]] to the projection plane.
-For example, in [[orthographic projection (geometry)]], a [[top view]] of a [[pyramid]], the [[base edges]] (which are parallel to the projection plane) have true length, whereas the remaining edges in this view are not true lengths. The same is true with an orthographic [[side view]] of a pyramid.
+For example, in a top view of a pyramid, which is an [[orthographic projection (geometry)], the [[base edges]] (which are parallel to the projection plane) have true length, whereas the remaining edges in this view are not true lengths. The same is true with an orthographic [[side view]] of a pyramid.
 Examples of views in which all distances between points are true length are [[net (polyhedron)]] developments. Four basic types of nets are lay out, roll out, radial, and triangulation, and all distances between points in such spaces are