Center,Radius of a 3 Dimensional circle given 3 points

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SUMMARY

The discussion focuses on calculating the center and radius of a three-dimensional circle defined by three points: (a,b,c), (a1,b1,c1), and (a2,b2,c2). The participants encourage sharing attempts and difficulties to provide targeted assistance. The conversation emphasizes the importance of understanding the geometric relationships between the points to derive the required parameters effectively.

PREREQUISITES
  • Understanding of three-dimensional geometry
  • Familiarity with vector mathematics
  • Knowledge of circle equations in 3D space
  • Basic programming skills for implementing calculations
NEXT STEPS
  • Research methods for calculating the circumcenter of a triangle in 3D
  • Learn about the mathematical representation of circles in three dimensions
  • Explore vector operations and their applications in geometry
  • Investigate programming libraries for geometric computations, such as NumPy in Python
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Mathematicians, computer graphics developers, and anyone involved in 3D modeling or geometric computations will benefit from this discussion.

ukmj
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Say the points are (a,b,c),(a1,b1,c1),(a2,b2,c2).
 
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Welcome to PF!

ukmj said:
Say the points are (a,b,c),(a1,b1,c1),(a2,b2,c2).

Hi ukmj! Welcome to PF! :smile:

Show us what you've tried, and where you're having difficulty, and then we'll know how to help! :smile:
 

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