. Annual report of the Board of Regents of the Smithsonian Institution. Smithsonian Institution; Smithsonian Institution. Archives; Discoveries in science. THE FIGURES OF EQUILIBKIUM OF A LIQUID MASS 285 § 35. If, in the different systems whicli we have been studying, we compare the central polygonal films with one another, it will be seen that the curvature of their sides goes on increasing from the hexagonal film to the decagonal film, a circumstance which constitutes new facts to be added to those of § 20 in con- firmation of the law relative to the angles under which the liquid edges termi
. Annual report of the Board of Regents of the Smithsonian Institution. Smithsonian Institution; Smithsonian Institution. Archives; Discoveries in science. THE FIGURES OF EQUILIBKIUM OF A LIQUID MASS 285 § 35. If, in the different systems whicli we have been studying, we compare the central polygonal films with one another, it will be seen that the curvature of their sides goes on increasing from the hexagonal film to the decagonal film, a circumstance which constitutes new facts to be added to those of § 20 in con- firmation of the law relative to the angles under which the liquid edges termi- nate at the same liquid point. The transverse curvature (§ 34) of the oblique films which are directed towards the sides of the central polygonal film being connected with the curvature of these sides, it must be less in the heptagonal prism than in the octagonal, and still less in the hexagonal; it is because of the weakness of the curvature in question in the last prism, that this yields, when ii has not too much height, a laminar system almost perfect, with its hexagonal film. § 36. In reflecting on the generation of laminar systems, the inquiry has struck me whether there might not be realized, at least in the hexagonal prism and with the frame of § 31, a system devoid of the central polygonal film by withdrawing the frame from the glyceric liquid in such manner that the axis of the prism should be horizontal instead of being vertical, as in the preceding ex- periments. I have consequently so arranged the fork as to be able to operate in that way, and with complete success : I have obtained, indeed, two different systems, according as the frame was Avithdrawn in such a way that tAvo lateral edges emerged at the same time from the liquid, or first one and then simultane- ously the two neighboring ones. These tAvo systems are of the same kind with that Avhich is realized in a pentagonal frame sufficiently high, (§ 30;) that is to say, they are composed of two assembla
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