Linked Questions

0 votes
3 answers
7k views

How to calculate the intersection of 2 circles? [duplicate]

I am working on making inverse kinematics for a game I am making so I decided that the best way to start would be to do it in 2D. After asking some people how to do it, they said you need to ...
tukars's user avatar
  • 21
-1 votes
3 answers
907 views

How do you find the intersection(s) of two circles with equal radii? [duplicate]

I have two circles with the following equations: \begin{equation*} (x-a_1)^2+(y-b_1)^2=r^2 \\ (x-a_2)^2+(y-b_2)^2=r^2 \end{equation*} The two radii are equal. How do you find the intersections of any ...
Aryaman's user avatar
  • 103
-5 votes
1 answer
478 views

Find the coordinates of the points where the two circles intersect. [duplicate]

The two circles are: $1$) $$(x-2)^2 + (y+1)^2 = 25$$ $2$) $$(y-2)^2 + (x+1)^2 = 25$$
badatmath's user avatar
  • 111
0 votes
0 answers
54 views

I want to write an algorithm for two circles intersection and touching cases . How can I do it with a quadtratic equation? [duplicate]

Given that two circles with coordinates (x1, y1) and (x2, y2) and radius r1 and r2 respectively . I need to find an equation , which can be used in code to to find the coordinates and the presence of ...
Trevor Philip's user avatar
12 votes
5 answers
28k views

Get location of vector/circle intersection?

I'm a coding guru, and I'm good with math - but only math that I know. Which isn't even at calculus level yet. So I'm hoping I can get some help here for my algorithm. Say I have a circle. I know its ...
DigitalMan's user avatar
3 votes
1 answer
11k views

How can I calculate a point's coordinates given distances from three other known points? [duplicate]

I have a trilateration-related problem that I'm unsure how to solve mathematically. I can see a solution is possible through geometry, but I'm unsure how to solve the resulting equations. Given ...
marcman's user avatar
  • 301
3 votes
3 answers
2k views

Math and equations for external tangent lines between two dissimilar circles?

I am trying to determine the maths behind drawing a line from the top of one circle to the top of another (and bottom to bottom). I am doing this for a programmatically generated CAD file, I currently ...
AnotherUser's user avatar
4 votes
0 answers
2k views

Circle-Cirle Intersection

Sorry for asking a question like this (can't comment as my reputation is too low). Could someone please explain this answer to me? Particularly the part, where the orthogonal vectors are declared? Why ...
Abhinav Prasad's user avatar
2 votes
1 answer
1k views

calculate points coordinates on plane from their distances matrix

Given a list of points on a plane is simple to generate a distances list between each pair of points. Pseudo Code: ...
aleclofabbro's user avatar
0 votes
2 answers
2k views

Computing coordinates of vertices in a SSS triangle

Given that we know the lengths of the sides of a triangle (SSS), how can the coordinates of the vertices in the Euclidean plane of such a triangle be mathematically computed? I'm especially looking ...
paaskus's user avatar
1 vote
1 answer
1k views

How to check two arcs intersect each other

I have two arcs defined with the following information: Origin, Radius, StartPoint, EndPoint, StartAngle & EndAngle The angles are signed so you know which direction around the circle the arc goes....
WDUK's user avatar
  • 480
2 votes
1 answer
522 views

Given the ratios of distances from three corners of a rectangle, find the coordinates of a point with said ratios.

I think the picture can explain it better than words, but I'm wondering how to figure this out. Given three ratios of distances from corners, not lengths (in the picture I set the base, $base=1$, to ...
Alain Rochette's user avatar
2 votes
0 answers
1k views

Determine third point of triangle when two points and all sides are known

I am solving basically the same problem as asked in this thread Determine third point of triangle when two points and all sides are known? I know 3 sides of a triangle and positions of two of them. ...
samuelg0rd0n's user avatar
1 vote
2 answers
330 views

intersection points of two circles

I am trying to find the points at which two circles intersect. The circles I am working with are: $$(1) \qquad x^2+y^2 = \frac{9}{4}$$ $$(2) \qquad (x-2)^2+y^2=\frac9 4$$ I am following this answer: ...
user2809114's user avatar
0 votes
0 answers
373 views

I want to solve the intersections of two circles using matrices.

The equations of the circles are $(x-h_1)^2+(y-y_1)^2=r_1^2$ and $(x-h_2)^2+(y-y_2)^2=r_2^2$ If I can use matrices to solve for $(x,y)$, how? Also, I know there will be two answers. The one I am ...
ARCS2016's user avatar

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