public Point circumcenter() {

        // declare midpoints
        Point midpointC = new Point(((a.getX() + b.getX()) / 2.0), (a.getY() + b.getY()) / 2.0);
        Point midpointB = new Point(((a.getX() + c.getX()) / 2.0), (a.getY() + c.getY()) / 2.0);
        Point midpointA = new Point(((b.getX() + c.getX()) / 2.0), (b.getY() + c.getY()) / 2.0);

        // declare slopes
        double mC = -(a.getX() - b.getX()) / (a.getY() - b.getY());
        double mB = -(a.getX() - c.getX()) / (a.getY() - c.getY());
        double mA = -(c.getX() - b.getX()) / (c.getY() - b.getY());

        double x, y;

        if (Double.isNaN(mA) == true) {

            double bC = midpointC.getY() - (midpointC.getX() * mC);
            double bB = midpointB.getY() - (midpointB.getX() * mB);

            x = (bC - bB) / (mB - mC);
            y = mC * x + bC;

        }
        else if (Double.isNaN(mC) == true) {

            double bB = midpointB.getY() - (midpointB.getX() * mB);
            double bA = midpointA.getY() - (midpointA.getX() * mA);

            x = (bB - bA) / (mA - mB);
            y = mB * x + bA;

        }
        else if (Double.isNaN(mB) == true) {

            double bA = midpointA.getY() - (midpointA.getX() * mA);
            double bC = midpointC.getY() - (midpointC.getX() * mC);

            x = (bA - bC) / (mC - mA);
            y = mA * x + bC;

        }

        Point circumcenter = new Point(x, y);
        return circumcenter;
    }