# Questions tagged [coordinate-systems]

This tag involves questions on various coordinate systems. The usual Cartesian coordinate system can be quite difficult to use in certain situations. Some of the most common situations when Cartesian coordinates are difficult to employ involve those in which circular, cylindrical, or spherical symmetry is present. For these situations it is often more convenient to use a different coordinate system.

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### Transforming normals into a specific coordinate system

Let's say I have normals defined from points of latitude and longitude on a sphere (represents the satellite object). The coordinate system we want to transform these normals into is z points to ...
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### Is there any two-coordinate system where X, Y is the same point as Y, X? [closed]

Is there any two-coordinate system where e.g., (10,36) is the same point as (36,10)? You see we here at the Rescue Centre are at our wits' end. Half our reports come in with latitude first, half with ...
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### Find the value of the interior angles of a polygon [closed]

I have coordinates of points $(x, y)$. By connecting these points we get a polygon in which I have to get values of its internal angles. For example points = $[3,1], [3,3], [1,3], [3,5], [7,5], [7,1]$ ...
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### Trying to understand coordinate transformations

So, I don't really understand why $\mathrm{d}x$ or generally any differential is equal to the sum of this differential over each one of the corresponding spherical coordinates times each spherical ...
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### Are they called "cardinal" subspaces? If not, what else?

A Cartesian coordinate system for an N-dimensional space S has, obviously, N axes. However, it also has $\tbinom{N}{2}$ planes spanned by those axes, and $\tbinom{N}{3}$ 3D spaces likewise spanned, ...
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### Volume integral of vector field in spherical and cartesian coordinates

I am trying to reconcile the different results obtained when integrating a vector field in either spherical or cartesian coordinates. Take for example the vector field in spherical coordinates (...
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### Can a straight line be drawn through a single node on an infinite square grid without passing through any other nodes?

The problem is from an advanced 8th grade math curricula, and marked with a star: *The topic is "Real numbers" The plane is covered by an infinite square grid. Is it possible to draw a ...
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### Method to find the longest and shortest distance on a circle from origin with less computation

The sum of the least and greatest absolute value of $z$ which satisfies the condition $|2 z+1-i \sqrt{3}|=1$ is A. 1 B. $\frac{3}{2}$ C. 2 D. none of these In this problem, I'm able to reduce this ...
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