Find the hyperbolic area of the euclidean rectangle with vertices (0,1) , (0,3),(5,3),(5,1).
the area of a hyperbolic triangle is equal to its Defect. Now any hyperbolic polygon can be divided into hyperbolic triangles to get the area. But with this euclidean rectangle two sides are not geodesics. Will an inversion work? Is there another method to find the Hyperbolic area of a euclidean figure?