As this article needed a lot of figures with some mathematical notation it is being presented as a PDF file: A biographical journey from conics to ovals
This may be read a continuation of earlier notes such as:
Ovals, drops, tops and the like
Fancies of the parabola and hyperbola
A personal discursion on conic sections
Iamblichus, quadratures, trisections and the lacuna of the cycloid
The cardioid and the arbelos: the scimitar and the axe
The Ara and the Arbelos
Some trivia on equilateral triangles and the like
mAnasa-taraMgiNI 