Introduction: Geometry and Geometries

96.41 Triangle through an elliptical looking-glass

“…Each triangle b.ABC has an elliptical shell~, namely the ellipse that has foci at A, B and contains C. In this note we derive the formulas that express the area, medians and angle bisectors of b.ABC (in terms of its sides) from properties of~ [1]. For the properties of an ellipse that we use here see, for example, [2]. First we fix some notation.…”