the case for lipstick or the like , represented in fig1 essentially includes stick 1 of a cosmetic or other pasty material , represented by a broken line , whose base is housed in cup - slider 2 provided on the outside with two diametrically opposing radial tongues 3 , represented by dotted lines , sliding respectively through one of two opposing spiraled slits 4 of internal tube 5 , as well as , by their respective ends , in one of two opposing internal longitudinal grooves 6 of external tube 7 which is coaxial with internal tube 5 . tubular metallic sleeve 8 , open at its top , is fit over the external tube . the two tubes are connected together towards their base by nonlocking catches 9 which leave them free to mutually rotate with a small amount of axial play . flange 10 with a cross section in the form of a w is attached by locking catching device 11 or welding , or gluing of its median wall 12 inside of the free end of internal tube 7 . external wall 13 of the flange is extended by flexible arches 14 , numbering four in this example , which bear elastically at their tops against edge 15 of the free end of the base of external tube 7 , thus providing compensation for axial play between the two tubes , as well as flexible braking of their mutual rotation . each of the spiraled slits 4 of internal tube 5 opens at its base in a longitudinal slit section 23 extended by groove 24 formed in the internal wall of the reinforced continuous circular end 25 of the tube . this structure provides good rigidity of the internal tube ( fig5 ) in spite of the cuts of its lateral wall . in the internal axial tubular part of internal wall 16 of the flange , force - fit , or glued , or welded , or caught , or otherwise locked , there is an axial internal tubular extension 17 of the base of cap 18 of a decorative envelope of the case completed by cover 19 whose bottom has axial tubular extension 20 inside , which is fit with gentle friction inside of the free opening of internal tube 5 . flange 10a , represented as a variant in fig3 differs from that of fig2 only by the closing of the top of the internal wall of the flange by wall 21 which thus provided a sealed closing of the base of internal tube 5 . the other variant of flange 10b represented in fig4 is connected on the case of fig1 in the same way as flanges 10 and 10a of fig2 and 3 . in this variant , arches 14b connect the free ends of teeth 22b regularly distributed in a ring projecting from external wall 13b of the flange . this structure facilitates molding . the case mechanism according to the invention represented in fig6 essentially includes elements similar to those of the case of fig1 . except that it does not have a metallic sleeve ; external tube 7c is formed with two opposite helicoidal grooves 4c whereas internal tube 5c is formed with two opposing longitudinal slits 6c . this arrangement opposite that of the tubes of the case of fig1 functions in the same way in order to ensure the translation of cup - slider 2c by its tongues 3c . the two tubes 5c and 7c are connected at their base by nonlocking catching device 9c , whereas flange 10c with blind bottom 21c , with a w - shaped cross section , is connected to the end of internal tube 5c by locking connection 11c with its median wall 12c . external wall 13c of the flange is cut with a number of flexible teeth 26c whose free ends bear elastically against edge 15c of the end of external tube 7c . in this example , annually reinforced end 25c of the internal tube ensures both the free connection 9c with the external tube and the locked fastening 11c with the internal tube . in the example of fig8 one finds external tube 7d which is formed inside with two longitudinal grooves 6d , covered by sleeve 8d , and internal tube 5d cut by two helicoidal slits 4d as in the example of fig1 . but in this case , the grooves and the slits open at the top , while the external tube has , at its base , annular fold 27d whose internal circular end is connected to the external lateral wall of open tubular extension 28d of internal tube 5d by nonlocking catching device 9d . on this same wall , attached by gluing or , preferably , welding , there is internal cylindrical wall 16d of flange 10d with a v - shaped cross section ( fig9 ) whose flexible frustrum - shaped external wall 13d bears elastically against beveled part 29d of the connection of the external wall of the external tube with its annular fold . depending on the desired force of braking and compensation of play between the two tubes , flange 10d will be positioned more or less pushed in on the tubular extension before it is attached : thus , in the left half of fig8 the flange is represented pushed in minimally and provides a minimum of force of braking and of compensation for play , whereas in the right half , it is represented pushed in maximally and provides a maximum effect . as a variant , as represented in fig1 , flexible external wall 13e of flange 10e is formed with a number of teeth 26e with a greater elasticity than continuous wall 13d of the flange of fig8 and 9 . mainly when it is the internal tube of the mechanism which is formed with helicoidal slits , as in the examples of fig1 and 8 , there is the risk of deformation by expansion of the tube under the stress of the tongues of the cup - slider during manipulations of the case , which can possibly cause the tongues to escape from the grooves . it is possible to prevent this risk by giving grooves 6 and slits 4 of tubes 5 , 7 walls with triangular cross sections complementary to those of tongues 3 of cup - slider 2 , as represented in fig1 .