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About his work

This is what Pascal discovered in the study of physics:
When we apply a force to a liquid, the pressure caused is distributed integrally and equally in all directions and directions. By Stevin's theorem we know that:

Then, considering two points, A and B:


When applying any force, the pressures at points A and B will be increased:


If the liquid in question is ideal, it will not suffer compression, so the distance h, will be the same after the application of force.
Like this:

Pascal's theorem:
"The increase in pressure exerted on a point in an ideal equilibrium liquid is transmitted integrally to all points of that liquid and to the walls of the container containing it."

Hydraulic press
One of the main applications of Pascal's theorem is the hydraulic press.
This machine consists of two cylinders of different radii A and B, interconnected by a tube, inside there is a liquid that supports two pistons of different areas  and .
If we apply a force of intensity F on the  area  piston, we will exert an increase of pressure on the liquid given by:

By Pascal's theorem, we know that this increase in pressure will be transmitted integrally to all points of the liquid, including the  area plunger, but transmitting a force different from that applied:
As the pressure addition is equal for both expressions we can equate them:



Here's a video that can ilustrates the Pascal Principle or Theorem:


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