deletions | additions       diff --git a/untitled.tex b/untitled.tex  index e786601..67d2bb8 100644  --- a/untitled.tex  +++ b/untitled.tex 
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\begin{equation}  \int{\mathbf{ds}\cdot \left[\nabla \left( \frac{1}{2}v^2\right) - \mathbf{v} \times \left( \nabla \times \mathbf{v}\right) + \frac{1}{\rho}\nabla P + \nabla \Phi_G \right]} =0  \end{equation}  since $\mathbf{ds}$ is the line element of a streamline, it is in teh the  same direction as $\mathbf{v}$,so you get \begin{equation}  \frac{1}{2}v^2 - \Phi_G +\int{\frac{dP}{\rho}} = \rm{cst}   \end{equation}