Equilateral Triangle with Vertices on Any Three Given Lines

The [b][color=#0000ff]lines[/color][/b] can be changed by moving their [color=#0000ff][b]points[/b][/color]. One [b][color=#ff0000]vertex[/color][/b] of the equilateral [b][color=#ff5555]triangle[/color][/b] can be chosen (by moving it around).
– Roy Wright

Information: Equilateral Triangle with Vertices on Any Three Given Lines