Assertion: coordinate system's origin | /r/HasProperty | chosen
Facets:
value: based on the problem statement
type: CAUSE
value: more generally
type: DEGREE
Source sentences:
text: More generally, if an arbitrary origin is chosen where the Cartesian coordinates of the vertices are known and represented by the vectors A , B and C and if the point P has trilinear coordinates x : y : z, then the Cartesian coordinates of P are the weighted average of the Cartesian coordinates of these vertices using the barycentric coordinates ax, by and cz as the weights.
text: The origin should be chosen based on the problem statement.