The correct answer is option D: Three-point problem.

Explanation:
Locating the position of a plane-table station with reference to three known points is known as the Three-point problem. This method is commonly used in surveying and cartography to determine the position of a plane-table station on a map or plan.

The Three-point problem involves the following steps:

1. Select three known points: In this method, three known points on the map or plan are selected as reference points. These points should be easily identifiable and should have known coordinates or positions.

2. Set up the plane table: The plane table is set up at the desired location. The table should be level and stable to ensure accurate measurements.

3. Orient the table: The plane table is oriented so that the reference points are aligned with the corresponding points on the map or plan. This is done by sighting from the known points to corresponding points on the map and adjusting the position of the table until the sights match.

4. Measure the angles: Using a theodolite or a compass, the angles between the reference points and the plane-table station are measured. These angles are measured in relation to a known reference direction, such as magnetic north or true north.

5. Calculate the distances: The distances between the reference points and the plane-table station are measured. These distances can be measured on the ground or calculated using trigonometry if the coordinates of the reference points are known.

6. Apply trigonometry: Using trigonometric principles, the position of the plane-table station can be calculated based on the measured angles and distances. This involves solving a set of equations to determine the coordinates of the station.

7. Plot the position: Once the coordinates of the plane-table station are calculated, they can be plotted on the map or plan. This allows for accurate representation of the station's position in relation to the known points.

Overall, the Three-point problem is a reliable method for locating a plane-table station with reference to three known points. It combines measurements of angles and distances with trigonometric calculations to determine the position of the station on a map or plan.