Position resection and intersection: Difference between revisions

Revision as of 00:22, 30 January 2023

Revision as of 13:59, 17 March 2023

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{{see also|Triangulation (surveying)}}

In surveying work,<ref>Glossary of the Mapping Sciences, American Society of Civil Engineers, page 451. [https://books.google.com/books?id=jPVxSDzVRP0C&lpgq=PA451&ots=n6eSezdwrn&dq=Cassini's%20resectionresection&pg=PA450#v=onepage&q=resection&f=false]</ref> the most common methods of computing the [[coordinate]]s of a point by '''angular resection''' are the '''Collin's "Q" point method''' (after [[John Collins (mathematician)|John Collins]]) as well as the '''Cassini's Method''' (after [[Giovanni Domenico Cassini]]) and the ''[[Tienstra formula]]'', though the first known solution was given by [[Willebrord Snellius]] (see [[Snellius–Pothenot problem]]).

For the type of precision work involved in surveying, the unmapped point is located by measuring the angles subtended by lines of sight from it to a minimum of three mapped (coordinated) points. In [[geodesy|geodetic]] operations the observations are adjusted for [[spherical excess]] and [[projection variation]]s. Precise angular measurements between lines from the point under ___location using [[theodolite]]s provides more accurate results, with trig beacons erected on high points and hills to enable quick and unambiguous sights to known points.