Cubic Command

Cubic( <Point>, <Point>, <Point>, <Number> )

Gives n-th triangle cubic of the given triangle ABC.

Let A = (0, 1), B = (2, 1) and C = (1, 2). Cubic(A, B, C, 2) yields the implicit curve -x³ + 3x² + 5x y² - 14x y + 7x - 5y² + 14y = 9.

This command is in development, set of supported index n is changing.

Some common triangle cubics

Index n Cubic

1

Neuberg Cubic

2

Thomson Cubic

3

McCay Cubic

4

Darboux Cubic

5

Napoleon/Feuerbach Cubic

7

Lucas Cubic

17

1st Brocard Cubic

18

2nd Brocard Cubic