Distance

This article treats mathematical definitions of the distance. Further meanings see under .

As Distance in the mathematical sense one designates the shortest distance between two or Points (also .

That Distance between two values one determines, by one the absolute value of their forms, i.e., by being from each other taken off and by the result the absolute value are formed. The measured Distance is independent of the selected of the not however of its (compares ).

In that the distance of two celestial objects becomes as difference that to be defined.

See also: Spacer function

Distance measurement in the level

In is the distance ( that that the spacer coordinates:

<math> d_{AB} = \sqrt{\sum_{i=1}^n (a_i-b_i)^2} \quad \mbox{wobei} \ \mathbb{R}^n \ni A = \begin{pmatrix} a_1 \ \ \vdots \ \ a_n \end{pmatrix} \quad \mbox{und} \ \mathbb{R}^n \ni B = \begin{pmatrix} b_1 \ \ \vdots \ \ b_n \end{pmatrix}</math>
<math> d_{AB} = \sqrt{(x_B-x_A)^2+(y_B-y_A)^2+(z_B-z_A)^2} \quad \mbox{im} \ \mathbb{R}^3 </math>

The distance of an object from one Straight one always becomes perpendicularly perpendicularly to this measured, that to a curved line to of them .

In that the distance is always the shortest connection between two points.

Distance measurement on curved surfaces

On that the distance becomes along determines and in Degree or indicated. For the computation of the distance see .

On that or others surfaces uses one those geodetic line or that Normal cut.

In that and that one speaks rather of or

 

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