The collinear lagrangian points any points on the line passing through the two masses where a third body of negligible mass could orbit around C with the same period as the other two masses; i.e. it ...The collinear lagrangian points any points on the line passing through the two masses where a third body of negligible mass could orbit around C with the same period as the other two masses; i.e. it would remain on the line joining the two main masses? The collinear points were discussed by Euler before Lagrange, but Lagrange took the problem further and discovered an additional two points not collinear with the masses, and the five points today are generally all known as the lagrangian points.