A Cornucopia of Quadrilaterals

Download or read book A Cornucopia of Quadrilaterals written by Claudi Alsina and published by MAA Press. This book was released on 1920 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Cornucopia of Quadrilaterals collects and organizes hundreds of beautiful and surprising results about four-sided figures--for example, that the midpoints of the sides of any quadrilateral are the vertices of a parallelogram, or that in a convex quadrilateral (not a parallelogram) the line through the midpoints of the diagonals (the Newton line) is equidistant from opposite vertices, or that, if your quadrilateral has an inscribed circle, its center lies on the Newton line. There are results dating back to Euclid: the side-lengths of a pentagon, a hexagon, and a decagon inscribed in a circle.