A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Geometry of the Isosceles Trapezium and the Contra-parallelogram, with applications to the geometry of the Ellipse

1901
*
Proceedings of the Edinburgh Mathematical Society
*

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 of

doi:10.1017/s0013091500032892
fatcat:fc4vnve4prdrhi7tsl4q3stnkq