. Annual report of the Board of Regents of the Smithsonian Institution. Smithsonian Institution; Smithsonian Institution. Archives; Discoveries in science. ample equally curious. I have given, in the second series, as the outline of that system, the one which I reproduce here (Fif?. 21,) i;i which the liquid edge a h is common to the four iilms which proceed from the iour oblique edges of the frame-work; but what then deceived me was that, with oil and in the interior of the alcoholic liquid, this edge preserves so considerable a thickness that it is impossible to raise it without occasioning


. Annual report of the Board of Regents of the Smithsonian Institution. Smithsonian Institution; Smithsonian Institution. Archives; Discoveries in science. ample equally curious. I have given, in the second series, as the outline of that system, the one which I reproduce here (Fif?. 21,) i;i which the liquid edge a h is common to the four iilms which proceed from the iour oblique edges of the frame-work; but what then deceived me was that, with oil and in the interior of the alcoholic liquid, this edge preserves so considerable a thickness that it is impossible to raise it without occasioning a rupture of one of the films—a thickness which maintains the stability of the system; now Avhen we realize the laminar sys- tem of this frame by means of the glyceric liquid, the edge in question is found to be replaced by an additional lamina, (Fig. 22,) and then each liquid edge is common to no more than three films. The pyramid of figures 21 and 22 has more height than that Avhich is represented in the second series; it is because wi:h this last the laminar system obtained by means of the glyceric liquid always presents, from its formation or shortly after, a slight ir- regularity in the position of the four liquid edges directed to- wards the summits of the base—an irregularity which is not pro- duced with a higher pyramid. I shall recur in the sequel to this irregularity, which connects itself Avith an order of facts here- after to be examined, and of which I shall then indicate the cause. § 17. Let us at present remark that in the systems of figures 15 and 19 there are four edges terminating at the same point, namely, the three which unite two by two the spherical caps and that which unites the three ])artitions. Now, as has been seen, (oth series, § 19,) the same fact presents itself in all our laminar systems obtained with the glyceric liquid: the liquid edges which terminate at the same liquid point are always four in number; here again, then, there is a general


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