\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2014f.00629}
\itemau{Srinivasan, V. K.}
\itemti{Ellipses of constant eccentricity.}
\itemso{Int. J. Math. Educ. Sci. Technol. 45, No. 6, 938-946 (2014).}
\itemab
Summary: A square of side length $2a$, $a>0$ is selected in the Euclidean plane. For each $a > 0$, two types of hexagons are constructed using the selected square. They are labelled type-1 hexagon and type-2 hexagon. For each $a>0$, there are two type-1 hexagons and two type-2 hexagons. In relation to the selected square, they appear to be horizontal and vertical. The VKS ellipses circumscribe type-1 hexagons and type-2 hexagons. The construction of these two types of hexagons and the determination of the Cartesian equations of the circumscribing VKS type-1 and VKS type-2 ellipses form the main themes for this paper. The eccentricities of these VKS type-1 ellipses and VKS type-2 ellipses are also discussed. The author hopes that the construction of the hexagons and the ellipses will be useful to students in high schools and colleges.
\itemrv{~}
\itemcc{G40}
\itemut{type-1 hexagons; type-2 hexagons; VKS type-1 ellipses; VKS type-2 ellipses}
\itemli{doi:10.1080/0020739X.2014.892162}
\end