Function arcs::centre_of_three_points

pub fn centre_of_three_points<S>(
    first: Point2D<f64, S>, 
    second: Point2D<f64, S>, 
    third: Point2D<f64, S>
) -> Option<Point2D<f64, S>>

Find the centre of an arc which passes through 3 [Point2D]s.

Note

If the points are collinear then the problem is ambiguous, the radius effectively becomes infinite and our centre could be literally anywhere.

let first = Point::new(0.0, 0.0);
let second = Point::new(1.0, 0.0);
let third = Point::new(25.0, 0.0);

let got = arcs_core::centre_of_three_points(first, second, third);

assert!(got.is_none());