Nada’s Curve Towards a new curvature produced by the tangent of a circle and an ellipse: The Nada’s curve

Abstract

A new curve is produced and graphically studied. The name of my daughter, Nada, has been given to this curve; in other words, Nada is used to describe this curve whenever it is used in this paper. “Nada’s curve” is a form of closed curve that is constructed when the circle’s diameter and the ellipse’s minor axis share the same length, and they are tangent by a point from a drawn line passing through the circumstances of the circle and ellipse. Then, from these two intersection points, the point of intersection of the vertical and horizontal lines is selected to determine a point of Nada’s curve. By sharing two vertically lined points on both the circle’s diameter and the ellipse’s minor axis, the parametric equation can be simplified and calculated easily, starting with an equation of the circle: x2 +(y-1)2 =1. Cases of Nada’s curve were graphically investigated in this study. The surface generated by the revolution of Nada’s curve around its axis is called “Nadaoid.”

Keywords

• Nada
• Curves
• Ellipse
• Curvature
• Circles