I have a quadrilateral, not necessarily a rectangle or trapezium. I want to divide it into three equal portions with straight lines.
I understand that there are a number of combinations which will satisfy the above requirement. However, for me, the two lines will divide one side of the quadrilateral into three equal portions. I want to find out where to put the other ends of these two division lines on the opposite side of the quadrilateral.
For example, for the image at http://teacher.buet.ac.bd/mmasroorali/dividearea.png
or http://www.bilder-upload.eu/show.php?fi ... 984448.png
P and Q divide AD into three equal portions. Now, I want to find out points R and S on BC, so that the new three quadrilaterals have equal areas.
Thanks in advance for your help.