inter: Intersection of two circumferences

In alphahull: Generalization of the Convex Hull of a Sample of Points in the Plane

Intersection of two circumferences

Description

This function calculates the intersection of two circumferences, given their centers and radius c1,r1 and c2,r2, respectively.

Usage

inter(c11, c12, r1, c21, c22, r2)

Arguments

c11	X-coordinate of the center c1.
c12	Y-coordinate of the center c1.
r1	Radius r1.
c21	X-coordinate of the center c2.
c22	Y-coordinate of the center c2.
r2	Radius r2.

Details

The function inter is internally called by the function ahull.

Value

A list with the following components:

n.cut	Number of intersection points (0,1,2, or Inf).
v1	If there are two intersection points, v1 is the numeric vector whose components are the coordinates of the unitary vector that has its origin in c1 and it's perpendicular to the chord that joins the intersection points of the two circumferences. Otherwise, v1=(0,0)
theta1	Angle that forms v1 with the radius that joins the center c1 with an intersection point.
v2	If there are two intersection points, v2 is the numeric vector whose components are the coordinates of the unitary vector that has its origin in c2 and it's perpendicular to the chord that joins the intersection points of the two circumferences. Otherwise, v2=(0,0)
theta2	Angle that forms v2 with the radius that joins the center c2 with an intersection point.

alphahull documentation built on June 16, 2022, 5:10 p.m.