Witch of Agnesi

In mathematics, the Witch of Agnesi (Italian pronunciation: [a.ˈɲe.zi]), sometimes called the "Witch of Maria Agnesi" is the curve defined as follows. Starting with a fixed circle, a point O on the circle is chosen. For any other point A on the circle, the secant line OA is drawn. The point M is diametrically opposite to O. The line OA intersects the tangent of M at the point N. The line parallel to OM through N, and the line perpendicular to OM through A intersect at P. As the point A is varied, the path of P is the Witch of Agnesi.

Witch of Agnesi

In mathematics, the Witch of Agnesi (Italian pronunciation: [a.ˈɲe.zi]), sometimes called the "Witch of Maria Agnesi" is the curve defined as follows. Starting with a fixed circle, a point O on the circle is chosen. For any other point A on the circle, the secant line OA is drawn. The point M is diametrically opposite to O. The line OA intersects the tangent of M at the point N. The line parallel to OM through N, and the line perpendicular to OM through A intersect at P. As the point A is varied, the path of P is the Witch of Agnesi.