Using computer plot, a given angle can be divided into 3,5,11 etc. number of equal parts using a Flexica curve difined by me earlier. >From a mechanics of materials approach, a beam of constant section and given length a, fixed at one end and an increasing bending moment applied at the other, flexes with large deflections by Euler-Bernoulli Law as per equation: r/a = sin(t)/t . Successive points look at the instantaneous center of curvature subtending the same angle, a fact used in this method for angular division.The large curve is proportionately scaled into whatever number of subdivisions is required. It uses a computer plot,so has no claim among "using only ruler /compass" methods.Hope you find it interesting.