Should rotating machinery be aligned horizontally first or vertically?

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The above are the methods for adjusting alignment in the vertical direction, along with the corresponding formulas, for the two-gauge, three-gauge, and five-gauge measurement methods as outlined in the documentation: With both two-gauge, three-gauge, and five-gauge measurements, it is possible to obtain radial and axial readings for the same orientation. If the positions of the measurement points and the adjustment fulcrums are as shown in Figure 10 (please pay attention to the direction of the dial indicating the axial reading), the following formulas can be used for calculation: H1 = L1 * (s1 – s3) / D + (a1 – a3) / 2 ----------------–(1–9) H2 = (L1 + L2) * (s1 – s3) / D + (a1 – a3) / 2 ----------(1–10) Where H1 and H2 represent the adjustment amounts for fulcrum 1 and fulcrum 2 respectively; positive values indicate the need to add shims, while negative values indicate the need to remove shims, in mm； s1, s3 and a1, a3-------represent the axial and radial dial indicator readings measured at 0° and 180° respectively, in mm ； D---------------------------Calculated diameter of the coupling (distance from the dial indicator contact point to the center of the coupling), in mm ； L1--------------------------Distance from pivot 1 to the measurement plane of the coupling, in mm ； L2--------------------------The distance between pivot 1 and pivot 2, in mm ； So, how are the horizontal methods and formulas applied? Is it true that the value that needs to be adjusted is simply the difference between the data from the symmetric points 90 and 270, divided by 2? Also, should it be aligned horizontally first or vertically first?