= — p (U^-q^)+ P^ = - pf^^ U- - sin2 0J+ p^ 



[12 8e] 



where p^ is the pressure at infinity. 



Thus p = p^ at e = 41° 49 'and at 13 8° 11' On the radii 9 = or d ^ n, g = \fj^\ and 





+ P. 



[12 8f] 



In the equatorial plane, where 6 = n/2, q = IqqI and 



1 „/ a^ a^ \ 



2 \ ;.3 4^6 / 



+ P. 



[128g] 



The streamlines are illustrated in Figure 213, on a typical plane through the axis of 

 symmetry. The lines drawn are equally spaced at infinity and differ by equal increments of 

 the quantity i/f/(r sin 6). The curves labeled p-p^ show on an arbitrary scale the excess of 



Figure 213 — Streamlines past a sphere, and pressure distribution along the axis of symmetry, 

 over the sphere, and over the equatorial plane. See Section 128. 



321 



