Define \(\Delta\) and the coordinates of \(\Delta\) from Eqs. (13-38) and (13-39). Prove that points \(\Delta, \mathrm{E}_{\mathrm{j}}\), and \(\mathrm{R}_{\mathrm{j}+1}\) (passing streams) lie on a straight line by developing Eq. (13-40).

Equation 13-38

Equation (13-39)

Equation (13-40)

Transcribed Image Text:

- A E, R =E-R =E-R+1 = = - EN - RN+1 (A)(x)=EYAO-R == = EYAj - R+Aj+1 == ENYAN - RN+1*AN+1 (13-38a) (13-38b) = (A)(XDA) EYDO RXD13 - =EYDjRj+Dj+1 = ENYDN - RN+1XDN+1 (13-38c)