ABSTRACTCelestial navigation represents the most accurate traditional method of fixing a ship/aircraft geographic position. One of the more time‐consuming efforts involved in celestial navigation occurs when reduction tables are entered to obtain the azimuth and altitude corrections to the assumed position. In addition, opportunities for error increase when tables are used, compounded with increased probability of mistake when plotting numerous lines of position from various origins. When multiple star observations are taken, the time required on the part of ship/aircraft navigator can be considerable.A quick, accurate method for calculating lines of position from a single assumed position has already been developed. The procedure to reduce these lines of position to a most probable fix position will be discussed within this pape