Questions tagged [intersection]

Questions on finding intersections of geometric objects: lines, planes, regions etc. with possible aid of ContourPlot, Interval, InfinitePlane and others.

Exemplary problems:

192 questions
14
votes
4 answers

Find intersecting rectangles groups

I've a list of rectangles in the form {index, {centerX, centerY}, {width, height}} I want to find intersecting rectangles list. I want to obtain a list on the form {{indx...indy},{indt...indz}...} Every element of this list is a list of rectangles…
Jepessen
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5
votes
3 answers

GraphIntersection Problem

I Have a problem when plotting 2 functions. I want to find out where the two graphs intersect eachother. That said, I want the coordinates (x, y) of the point. p1 = Plot[2/(1 + 20 x^2), {x, 0, 3}, AxesLabel -> {"x", "y"}, LabelStyle -> (FontSize…
radholm
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3
votes
1 answer

Graphics`Mesh`FindIntersections get extra intersections

Why am I getting some extra intersection points? Manipulate[b = 2 r + 1; Show[p1 = ContourPlot[{x^2 + (y - r)^2 == r^2, x/12 + y/b == 1}, {x, -20, 20}, {y, -20, 20}, Axes -> True, Frame -> False, AspectRatio -> 1, PerformanceGoal…
kile
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3
votes
2 answers

Intersection of a plane with surface of ListSurfacePlot3D

If I have a list of points in 3D space that are only roughly located on a surface, this surface can be visualized with ListSurfacePlot3D. How can I find the intersection of this approximate surface with a plane, that spans between two vectors u and…
piiipmatz
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2
votes
1 answer

how to find intersection between a parametric trajectoy and a point

I'have a 2d-system of differential equations, analitycally solved, depending on a parameter. I know that, by continuity, there exist a minimum value of the parameter such that trajectory passes through a specific point. My problem is to find such…
Mike84
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2
votes
1 answer

Intersection of two lines

I have two lines: line1=InfiniteLine[{{0,1},{4,2}}] line2=InfiniteLine[{{1,2},{4,8}}] I used RegionIntersection to get intersection of these lines, but I can't get the coordinates of the point in the…
Maja
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1
vote
1 answer

Computing intersections between a large number of sets: doing it sequentially vs. sending everything to Intersection[...]

Say we want to compute the largest common subset among a very large number of sets $Q_i$. One option would be to simply run the command: Intersection[Q1, Q2, Q3, Q4, Q5, Q6, Q7, ...]; However, this seems to choke for very large numbers of input…
CA30
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1
vote
2 answers

Projection on the xy–plane of the curve of intersection of both surfaces

I am trying to make a projection on the xy-plane of the intersection of the surfaces from the functions: 1 + x^2 - y^2, 3 Log[1 + x^2]. Thanks.
0
votes
1 answer

How to define where a line intersects its reflection

It is relatively easy to be able to find where two parametric functions intersect each other, but how about when one is a function and the second is its reflection? In the example below is it possible to define the value of intersection on the y…
George
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-1
votes
1 answer

How to get the intersection of three different curves

There are two functions, f(x,y)=x + y^2 - 8; g(x,y)=-3 x^2 + y^2 - 5; How can I get the intersection of these two curves? And how about the intersection among f(x,y),g(x,y) and z=0? Thanks
Jenny
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