Geodesic Distance and Euclidean distance

[NX_CAD_CAM_CAE_TOOLING EXPLORE KNOWLEDGE]

geodesics distance

The shortest distance between two points is the length of a so-called geodesic between the points.

geodesics are the shortest path between points in the space.

The term "geodesic" comes from geodesy, the science of measuring the size and shape of Earth; in the original sense, a geodesic was the shortest route between two points on the Earth's surface, namely, a segment of a great circle.

 The term has been generalized to include measurements in much more general mathematical spaces; for example, in graph theory, one might consider a geodesic between two vertices/nodes of a graph.

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Euclidean distance

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry.

From the modern viewpoint, there is essentially only one Euclidean space of each dimension. With Cartesian coordinates it is modelled by the real coordinate space of the same dimension.

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In NX we can achieve the same by

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