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noncollinear

noncollinear

7.9
Points that do not all lie on the same straight line
  • adjective
  • /ˌnɒnˈkɒlɪnɪər/
  • Specialized
translation icon : no colineales
  • The three corners of the triangle are noncollinear, which makes it a valid geometric shape.
  • collinear and noncollinear

Examples

  • In geometry, three points are considered noncollinear if they do not lie on the same straight line.

  • In the isomers a and c, the spins are noncollinear. The corresponding collinear structures are b and d.

    Academic text (1999)
  • The first applications to small iron structures found both collinear and noncollinear ground states, depending on the cluster size.

    Academic text (1999)
  • Very interestingly, there are energy barriers separating the collinear and noncollinear structures.

    Academic text (1999)
  • To determine if the points are noncollinear, you can check if the slope between each pair is different.

Synonyms

unaligned
vsnoncollinear
5.1

Not in agreement or not in a straight line with something else

is used specifically for geometric points not on the same straight line

Antonyms

collinear
  • Specialized
1 8.6

Points or lines that lie on the same straight line

Surface Forms

noncollinear positive

Morphology

noncollinear = collinear (transparent) = non + collinear

The prefix 'non-' clearly negates the meaning of 'collinear', making the meaning easily understandable.

Etymology

The word noncollinear combines non- 'not' and collinear, where co- means 'together' and line means 'line'. So noncollinear describes points or objects that are 'not on the same straight line', which is why such points can form a triangle.