Construct the equidistant line of 2 or three points

An equidistant line is a line that at any given point is the same distance to the points that defines it. In 2 dimensions it is equivalent to the bisector of the two points. In 3 dimensions it is defined for 3 points (2 points would give a bisector plane).

Usage

equidistant_line(x, y, z = NULL)

Arguments

x, y, z

Vector of points. If z is given they must be in 3D, otherwise in 2D

Value

A vector of lines

See also

Other Locations: barycenter(), bisector(), centroid(), circumcenter(), point(), radical(), weighted_point()

Examples

equidistant_line(
  point(3, 7, 2),
  point(6, -4, 9),
  point(2, 1, -5)
)
#> <3D lines [1]>
#> [1] <x:3.98, y:-0.679, z:2.3, dx:119, dy:14, dz:-29>

# In 2D you get the bisector
equidistant_line(point(2, 5), point(3, 2)) == bisector(point(2, 5), point(3, 2))
#> [1] TRUE