Pascal law: perspective from newtons law and forces Pascal law says, conceptually, that exerted pressure is transmitted equally to all points on a fluid. 
The so called example of hydraulics, where force gets amplified, is an application of the principle.
Below is what I'm referring to:

Is there any graphical way to see how force gets amplified/diminished according to the areas? I mean, avoiding everything about pressure, just seeing forces.
The puntual question is:
Can we see, using only Newton laws, how force gets amplified in the named hydraulic system?
 A: You can't avoid talking about static pressure in this system because that is the mechanism of force multiplication.
On the other hand, they system is quite equivalent to a lever with a long arm (length $L_l$) and a short arm (length $L_s$). The side with the small piston is equivalent to the long arm and the side with the large piston is equivalent to the short arm.
For the level, the force $F_s$ exerted on the short side is related to that on the long side $F_l$ by
$$ F_s = \frac{L_l}{L_s} F_l \;,$$
while the distance traveled is proportional to the length of the arm, so that the work on the two side is equal
$$ F_s (L_s \, \Delta\theta) = F_l (L_l \, \Delta\theta) \;.$$
For the hydraulic system The force on each piston is proportional to it's area, but the distance traveled is inversely proportional to the area because a volume $V$ of fluid is transferred from one side of the apparatus to the other. As a result the work done on each side is equal in magnitude.
A: lets say the surface area of the pump side is one square centimetre and the surface area of the platform is one square meter.
You apply 2 kilogram pressure at the pump side. All the walls and pipes and the platform feel the same pressure, 2 kilograms/centimetre. (1)
the platform bed now has a total force of 10000 centimetres times 2 = tons.
However you need to pump ten thousand cc of water before the platform moves up one centimetre!
(1) If your tanker is too deep the pressure on the walls will increase proportional to the water or fluid's $  gh\rho. $
