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In the text describing equation 1, a statement is made regarding the situation where both "C" and "P" fall on the same side of line AB. The statement claims that angle "C" will be greater than pi in that case. However, that does not seem universally true, so I wish to clarify before making an edit. If the image shown was kept the same but only point "P" moved to be above line AB, now the sum of angles alpha and beta would be greater than pi, while angle "C" remains less than pi. Does the solution with the given set of equations still work fine in this case?
If so, I would suggest a simple edit to the text indicating "... either angle "C" or angle "APB" will be greater than pi" in place of "...the angle C will be greater than pi" to avoid confusing/misleading readers. 47.33.120.247 ( talk) 01:45, 13 October 2021 (UTC)
There was a proposal to merge the article Resection (Free Stationing) into the article Position resection.
The two above article got nothing to do with each other. The mathematical solution is different.
But the article Position resection is based on the so called "SnelliusâPothenot problem". In Surveying "Resection" is referring to what is here called "SnelliusâPothenot problem".
The method "Resection" is used in Triangulation to establish a new point in a survey network.
Willebrord Snell was a Mathematician and a Surveyor, see: Willebrord Snell and modern triangulation networks.
In Surveying Literature it is always referred to Resection, not to the "SnelliusâPothenot problem". [1] The notes in this article are referencing to resection in surveying. A surveyor would never search for "SnelliusâPothenot problem", he will search for "Resection".
In all of the above we have four "different groups" involved:
The article SnelliusâPothenot problem should be renamed to Resection (Triangulation). "SnelliusâPothenot problem" should be redirected to the new named article.
The article Position resection should be merged into Resection (Triangulation)
The Article Resection (Free Stationing) has nothing to do with the above article. Different mathematical solution.
I am a Surveyor. Darwipli ( talk) 10:06, 7 March 2016 (UTC)
References
In the above section a definition of what x , y and z are is not provided. This causes a problem for readers trying to use the method addressed in that section. In coordinate geometry, which the "SnelliusâPothenot problem" is related to, terms such as (x,y,z) are often used to denote coordinates in 3 dimensions. In other mathematical or trigonometric topics that expression is often used to denote the 3 angles of a triangle. This section needs to state what x y and z are. Robertagribot ( talk) 10:59, 7 July 2024 (UTC)