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Calculate the "intersection" for the given case?

Consider the following task: There are two cross-sections: the first one is located in the $yz$ plane (the case 1), and the second one is in the $xy$ plane (the case 2). In the spherical coordinate ...
John Taylor's user avatar
  • 5,963
2 votes
2 answers
103 views

A condition for the given point to be included in the domain?

If we have two domains, it is possible to check whether one domain is inside another domain: ...
John Taylor's user avatar
  • 5,963
3 votes
2 answers
102 views

A condition for one domain to be included in another domain?

Consider two domains: domain1 = Rectangle[{-2.5, -2.5}, {2.5, 2.5}]; domain2[R_] := Disk[{0, 0}, R] I would like to check whether the second domain is completely ...
John Taylor's user avatar
  • 5,963
2 votes
1 answer
221 views

How to find the area of circle inside the rectangle?

Consider a circle located at the origin circ[R_] := Circle[{0,0},R] and an arbitrary rectangle ...
John Taylor's user avatar
  • 5,963
7 votes
1 answer
408 views

Geometry computations add-on for Mathematica?

I came across the problem of calculating the circumcenters of triangles symbolically within another algorithm (as well as possibly doing other similar geometry computations). I was hoping Mathematica ...
Grayscale's user avatar
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