How does conservation of geometry apply to levers in equilibrium?

[deda]

The conservation of geometry for lever in equilibrium has two parts:

$$|F + \epsilon D| = const$$ that is conservation of force which reads: “For every particle in the lever the absolute value of the sum of its current force and the force stored in its distance must be the same”. In other words it’s conservation of potentials.

$$|D + \lambda F| = const$$ that is conservation of distance which reads: “For every particle in the lever the absolute value of the sum of its distance and the distance stored in its force must be the same”. In other words it’s conservation of punctuations.

 

[Antonio Lao]

Circular geometry (variational conic sections perpendicular to the axis of the cone) is conserved in a level. This geometry is invariant of the motion of the level at any time period.

The other physical quantity that is also an invariance with respect to time is energy.