Publisher： Cambridge University Press
E-ISSN： 2056-6328|101|551|214-226
ISSN： 0025-5572
Source： The Mathematical Gazette, Vol.101, Iss.551, 2017-06, pp. : 214-226
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
The general class of quadrilaterals where one diagonal is bisected by the other diagonal has appeared very rarely in the geometrical literature, but they have been named several times in connection with quadrilateral classifications. Günter Graumann strangely gave these objects two different names in [1, pp. 192, 194]: sloping-kite and sliding-kite. A. Ramachandran called them slant kites in [2, p. 54] and Michael de Villiers called them bisecting quadrilaterals in [3, pp. 19, 206]. The latter is a pretty good name, although a bit confusing: what exactly is bisected?
Related content
98.30 The isoperimetric inequality for quadrilaterals
The Mathematical Gazette, Vol. 98, Iss. 543, 2014-11 ,pp. :
Access to resources
Recommend
Quadrilaterals with area formula
The Mathematical Gazette, Vol. 96, Iss. 536, 2012-07 ,pp. :
On the classification of convex quadrilaterals
The Mathematical Gazette, Vol. 100, Iss. 547, 2016-03 ,pp. :
A fallacy involving similar quadrilaterals
The Mathematical Gazette, Vol. 98, Iss. 543, 2014-11 ,pp. :
95.43 On convex quadrilaterals
The Mathematical Gazette, Vol. 95, Iss. 533, 2011-07 ,pp. :