I have this picture in Lattin representing structure and pattern loadings in factor analysis. If $Z$ (an observed variable) $=w_1 F_1+w_2 F_2$ (according to factor model), then the pattern loadings of $Z$ on $F_1$ and $F_2$ must be $w_1$ and $w_2$ (see the diagram). Using some geometry, the structure "loadings" (the correlations between $Z$ and the factors) of $Z$ on $F_1$ and $F_2$ must be $x_1=w_1+w_2 cos\psi$ and $x_2=w_2+w_1 cos\psi$ respectively.
However the formula in the bottom is the opposite of whatever the diagram claims. Which is correct: the diagram or the formula?