sphere-sphere intersection : getting the distance between spheres from the given radius of the intersecting...
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I am looking at the typical sphere-sphere intersection :
http://mathworld.wolfram.com/Sphere-SphereIntersection.html
And I was wondering how to reverse the equation to get the radius of the intersecting circle between two spheres.
=
Meaning that, given a radius for the intersection and two radii for the spheres, how to calculate the distance between them?
geometry
asked Nov 22 at 14:43
Pierre
138111
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up vote
0
down vote
favorite
I am looking at the typical sphere-sphere intersection :
http://mathworld.wolfram.com/Sphere-SphereIntersection.html
And I was wondering how to reverse the equation to get the radius of the intersecting circle between two spheres.
=
Meaning that, given a radius for the intersection and two radii for the spheres, how to calculate the distance between them?
geometry
asked Nov 22 at 14:43
Pierre
138111
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I am looking at the typical sphere-sphere intersection :
http://mathworld.wolfram.com/Sphere-SphereIntersection.html
And I was wondering how to reverse the equation to get the radius of the intersecting circle between two spheres.
=
Meaning that, given a radius for the intersection and two radii for the spheres, how to calculate the distance between them?
geometry
asked Nov 22 at 14:43
Pierre
138111
I am looking at the typical sphere-sphere intersection :
http://mathworld.wolfram.com/Sphere-SphereIntersection.html
And I was wondering how to reverse the equation to get the radius of the intersecting circle between two spheres.
=
Meaning that, given a radius for the intersection and two radii for the spheres, how to calculate the distance between them?
geometry
geometry
asked Nov 22 at 14:43
Pierre
138111
asked Nov 22 at 14:43
Pierre
138111
asked Nov 22 at 14:43
Pierre
138111
asked Nov 22 at 14:43
Pierre
138111
asked Nov 22 at 14:43
Pierre
138111
138111
add a comment |
add a comment |
1 Answer
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Edit: There is no need to reverse that equation.
Simpler formula (thank you, uncle Pythagoras)
distance = Sqrt(R^2-a^2) + Sqrt(r^2-a^2)
answered Nov 22 at 15:48
MBo
46.5k22848
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
accepted
Edit: There is no need to reverse that equation.
Simpler formula (thank you, uncle Pythagoras)
distance = Sqrt(R^2-a^2) + Sqrt(r^2-a^2)
answered Nov 22 at 15:48
MBo
46.5k22848
add a comment |
up vote
0
down vote
accepted
Edit: There is no need to reverse that equation.
Simpler formula (thank you, uncle Pythagoras)
distance = Sqrt(R^2-a^2) + Sqrt(r^2-a^2)
answered Nov 22 at 15:48
MBo
46.5k22848
add a comment |
up vote
0
down vote
accepted
up vote
0
down vote
accepted
Edit: There is no need to reverse that equation.
Simpler formula (thank you, uncle Pythagoras)
distance = Sqrt(R^2-a^2) + Sqrt(r^2-a^2)
answered Nov 22 at 15:48
MBo
46.5k22848
Edit: There is no need to reverse that equation.
Simpler formula (thank you, uncle Pythagoras)
distance = Sqrt(R^2-a^2) + Sqrt(r^2-a^2)
answered Nov 22 at 15:48
MBo
46.5k22848
edited Nov 22 at 16:25
answered Nov 22 at 15:48
MBo
46.5k22848
answered Nov 22 at 15:48
MBo
46.5k22848
answered Nov 22 at 15:48
MBo
46.5k22848
46.5k22848
add a comment |
add a comment |
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