Point and Circle intersection in 3 D

Click For Summary
SUMMARY

The discussion focuses on finding the intersection point of a circle and a line in 3D space, given a point's coordinates (sp, yp, zp) and the circle's center (xc, yc, zc) with radius rc. The original poster, Adee, expresses confusion about extending the 2D intersection method to 3D scenarios. A response highlights the ambiguity in the question, specifically regarding the relevance of the point's position and the nature of the line in question. It is established that a line and a circle in 3D may not necessarily intersect, similar to their 2D counterparts.

PREREQUISITES
  • Understanding of 3D coordinate systems
  • Knowledge of geometric shapes, specifically circles and lines
  • Familiarity with intersection concepts in both 2D and 3D
  • Basic algebra for solving equations
NEXT STEPS
  • Research the mathematical principles of 3D geometry
  • Learn about parametric equations for lines in 3D space
  • Study methods for determining intersections between geometric shapes in 3D
  • Explore computational geometry algorithms for intersection problems
USEFUL FOR

Mathematicians, computer graphics developers, and anyone involved in 3D modeling or simulation who needs to understand geometric intersections in three-dimensional space.

Adee
Messages
1
Reaction score
0
Hi
I need some support regarding a problem.
I know the poistion of a point in 3D let say (sp,yp,zp) and I know the circle with Center (xc,yc,zc) having radius rc. My question is how to find the intersection point of the circle and a line in 3D.
I know that we can find the POI in 2 D by solving equation of line and circle but in 3 D its confusing for me ?


Regards
Adee
 
Physics news on Phys.org
Adee said:
Hi
I need some support regarding a problem.
I know the poistion of a point in 3D let say (sp,yp,zp) and I know the circle with Center (xc,yc,zc) having radius rc. My question is how to find the intersection point of the circle and a line in 3D.
I know that we can find the POI in 2 D by solving equation of line and circle but in 3 D its confusing for me ?


Regards
Adee
Your question is very confusing. You say that you are given a point and a circle. What line are you talking about? What does the given point have to do with this problem?
 
do have the exact question?

that doesn't make a heap of senese...

that said if you have a line & a circle in a 3D space, they don't necessarily have to intersect (nor in 2D either)
 

Similar threads

Shortest path to a point that doesn't pass through the given circle
  • · Replies 5 ·
Replies
5
Views
3K
Circle Geometry with an Intersecting Line
  • · Replies 14 ·
Replies
14
Views
3K
Find the coordinates of a point C from the given line, point and circle
  • · Replies 8 ·
Replies
8
Views
3K
Intersection of two line segments from uniform distribution
  • · Replies 17 ·
Replies
17
Views
3K
Describing an object made by the intersection of 2 surfaces
  • · Replies 17 ·
Replies
17
Views
3K
Find the center of a circle given a tangent line & point
  • · Replies 2 ·
Replies
2
Views
4K
Write the Standard Form of the Equation for this Circle
  • · Replies 16 ·
Replies
16
Views
2K
High School Circle tangent to two lines and another circle
  • · Replies 2 ·
Replies
2
Views
6K
Equation of a circle from given conditions
  • · Replies 11 ·
Replies
11
Views
3K
Point of intersection between a parabola and a circle
  • · Replies 27 ·
Replies
27
Views
9K