Pascals Law
Proof of Pascal's law
Blaise Pascal (1623-1662) was a French mathematician, physicist, inventor, writer and Catholic philosopher.
Overview
Pascal's Law states," The intensity of pressure at any point in a fluid at rest, is the same in all direction."
Theorem Proof
Consider a very small right angled triangular element ABC of a liquid as shown in figure.
= Intensity of horizontal pressure on the element of the liquid
= Intensity of vertical pressure on the element of the liquid
= Intensity of pressure on the diagonal of the triangular element of the liquid
= Angle of the triangular element of the liquid
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