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In Figure 11 let ABCD be a contraparallelogram having AB = CD, AD = BC. Let O, P, Q, R be the midpoints of AB, BC, AD, DO respectively. They obviously lie in the line parallel to AC and to BD, and equidistant from them. Let U be the mid-point of AC and V that of BD. OURV is a rhombus each of whose sides is half of AD or BC, and parallel to AD or BC. PUQV is a rhombus each of whose sides is half of AB or CD, and parallel to AB or CD. and OP = AU = UC = QR. Let X be the point of intersection ofdoi:10.1017/s0013091500032892 fatcat:fc4vnve4prdrhi7tsl4q3stnkq