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Li and Matin (2005a, 2005b) reported three regularities of this induced vertical (VPV): a roll-tilted peripheral line shifts it about linearly with orientation; two lines combine about linearly; and symmetric tilts cancel. We show all three follow from one principle. The induced vertical is half the argument of the first circular moment of stimulus orientation in the doubled-angle domain, $\\phi=\\frac{1}{2}\\arg c_1$ with $c_1=\\sum_j A_j e^{i2\\gamma_j}$ (each line counted at twice its angle). 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