🚀 go-pugleaf

landmark@vcn.bc.ca (Scott Phung) wrote:


Scott,  a cyclic quadrilateral is formed as *any* four distinct points
on the circle.  The area is not fixed in any way, and the center of
the circle may be far from the intersection of the diagonals.  You can
find the area generally only as the area of the quadrilateral.  Being
cyclic adds no distinct differences to that figure so far as area is
concerned, although there is a wealth of other properties, such as "A
cyclic quadrilateral that is a parallelogram must be a rectangle."
..in which case the center of the circle *would* coincide with the
intersection of diagonals.

David.
If knowledge is power, that explains my weakness.  :-)