Any four-point on a curve of the second order and the four-side formed by the tangents at these points stand in this relation that the diagonal points of the four-point lie in the diagonals of the four-side.

Second Order Curve Tangents

Any four-point on a curve of the second order and the four-side formed by the tangents at these points…

Five points are given, of which not three are in a line, a curve of second order may be drawn through all of them.

Second Order Curve

Five points are given, of which not three are in a line, a curve of second order may be drawn through…