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 :



enter image description here



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.



enter image description here=
enter image description here



Meaning that, given a radius for the intersection and two radii for the spheres, how to calculate the distance between them?






geometry







share|improve this question


























    up vote
    0
    down vote

    favorite












    I am looking at the typical sphere-sphere intersection :



    enter image description here



    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.



    enter image description here=
    enter image description here



    Meaning that, given a radius for the intersection and two radii for the spheres, how to calculate the distance between them?






    geometry







    share|improve this question
























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I am looking at the typical sphere-sphere intersection :



      enter image description here



      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.



      enter image description here=
      enter image description here



      Meaning that, given a radius for the intersection and two radii for the spheres, how to calculate the distance between them?






      geometry







      share|improve this question













      I am looking at the typical sphere-sphere intersection :



      enter image description here



      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.



      enter image description here=
      enter image description here



      Meaning that, given a radius for the intersection and two radii for the spheres, how to calculate the distance between them?






      geometry




      geometry






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked Nov 22 at 14:43









      Pierre

      123111




      123111
























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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)





          share|improve this answer























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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)





            share|improve this answer



























              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)





              share|improve this answer

























                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)





                share|improve this answer














                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)






                share|improve this answer














                share|improve this answer



                share|improve this answer








                edited Nov 22 at 16:25

























                answered Nov 22 at 15:48









                MBo

                46k22848




                46k22848






























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