Now we handle Elnath.
Plot a bearing to Elnath from the AP. Retreat in the opposite direction 108 km because our Ho was 54 arcminutes lower than the Hc. Construct a right angle line of position on the star bearing. This is the Elnath LOP. All positions on this line are 108 km further from Elnath than is AP. If we have done everything right, our unknown position is also on this line.
The Elnath LOP is the second leg of our error triangle.
The intersection of the Alioth LOP and the Elnath LOP is our emerging determined position...on a sphere, but not on this cylinder yet.
