Elements of Astronomy

Cover Elements of Astronomy
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The direction of the base line, or the angle which it makes with the meridian, is deter- mined by astronomical observation.
A distant high point P is then chosen, on a hill or mountain, which can be seen from both ends of the base line. The angles PAB and PBA are measured as exactly as pos- sible with a theodolite. Then, by trigonometry, the sides of the tri- angle BP and AP can be exactly computed. If there are other distant points, like Q, which are visible from the two ends of the base line,
... tri- angles to them are determined in the same way, and their distance from each other computed.
Any of the sides AP, BP, AQ, BQ, or PQ can then be used as a new base line, and the positions of other distant points like R determined by sighting on them. By sights from these points other yet more distant points can be determined, and so on all the way across a con- tinent if necessary. The more mountainous a region is, the easier it is to make a triangulation, because longer sights from one mountain top to another can be taken than on a plain.


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