Geodesic
A Task About Spheres and Cones, Applicable in Jet Theory
Journal for geometry and graphics, Tome 23 (2019) no. 1, pp. 99-114 Cet article a éte moissonné depuis la source Heldermann Verlag

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A task about spheres and cones is solved. The task is about tangent spheres around an x-axis. Three right circular cones with the same apex on the x-axis at x=0 contain corresponding endpoints of diameters of the spheres, perpendicular to x, and centres of the spheres, respectively. Any three adjacent spheres are mutually tangent. The diameters of the spheres are proportional to x. The x-axis intersects all spheres. The goal of the task is to find geometric relations between the involved cones and to give rules for plotting the scheme. The solution allows a transformation of the sphere sequence onto itself by rotation and homothety.
Classification : 51M04, 52C17, 76F40
Mots-clés : Cone, sphere, tangency, large eddy, jet 
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     author = {V. Mileikovskyi },
     title = {A {Task} {About} {Spheres} and {Cones,} {Applicable} in {Jet} {Theory}},
     journal = {Journal for geometry and graphics},
     pages = {99--114},
     year = {2019},
     volume = {23},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JGG_2019_23_1_JGG_2019_23_1_a8/}
}
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V. Mileikovskyi . A Task About Spheres and Cones, Applicable in Jet Theory. Journal for geometry and graphics, Tome 23 (2019) no. 1, pp. 99-114. http://geodesic.mathdoc.fr/item/JGG_2019_23_1_JGG_2019_23_1_a8/