Assertion: geometry's point | /r/HasProperty | collinear
Facets:
value: if
type: DEGREE
value: on a non-absolute line
type: LOCATION
value: for three points in a plane
type: LOCATION
value: by extension
type: OTHER
Source sentences:
text: Three points are said to be collinear if they lie on the same line.
text: Points that lie on the same line are called collinear.
text: In particular, for three points in the plane (n = 2), the above matrix is square and the points are collinear if and only if its determinant is zero.
text: Equivalently for three points in a plane, the points are collinear if and only if the slope between one pair of points equals the slope between any other pair of points (in which case the slope between the remaining pair of points will equal the other slopes).
text: By extension, k points in a plane are collinear if and only if any (k–1) pairs of points have the same pairwise slopes.
text: The points a, b and c are collinear if and
text: No three points of a hypercycle are collinear.
text: If the points A, B, and C of a hypercycle are collinear then the chords AB and BC are on the same line K.
text: One can pursue axiomatization by postulating a ternary relation, [ABC] to denote when three points (not all necessarily distinct) are collinear.
text: Points on a line are collinear (col = "with," or "together" and linear = "string," or "line").
text: if n is odd, the absolute points form an oval whose tangents are the absolute lines; or if n is even, the absolute points are collinear on a non-absolute line.