For machine components with complex structures, drawing the pictorial projection (AP) can be challenging, especially when drawing intersections. Typically, the AP of the intersection 1234 is determined by finding the AP of the points 1’, 2’, 3’, and 4’ (Figure 1b) from two orthogonal projections (Figure 1a). However, it remains unclear how to correctly connect the intersection through the points 1’, 2’, 3’, and 4’. To address the aforementioned issue, the author presents “the application of the auxiliary plane to establish intersections in complex machine component drawings.”For machine components with complex structures, drawing the pictorial projection (AP) can be challenging, especially when drawing intersections. Typically, the AP of the intersection 1234 is determined by finding the AP of the points 1’, 2’, 3’, and 4’ (Figure 1b) from two orthogonal projections (Figure 1a). However, it remains unclear how to correctly connect the intersection through the points 1’, 2’, 3’, and 4’. To address the aforementioned issue, the author presents “the application of the auxiliary plane to establish intersections in complex machine component drawings.”