The electrical resistance manifested relatively by certain fused salts is peculiar. The following communication contains the result of observations on time changes of resistances noticed during the cooling and resolidification of two typical groups of fused salts and also of molten glass.

The purpose of this paper is to give rules for the construction of knots Mn of n crossings, having each one or more linear sections PR, such that by unkissing at P and at R, shall be obtained two unifilar knots of n – 1 crossings. See my paper “On the Twists of Listing and Tait,” page 363 of the Proc. R.S.E. The knot Mn is always made by a section ffc, i.e., by uniting the P's and R's of two 2-gons (PR) on Ke+2 and Ln-e, after cutting away the four edges PR.

How this reading is to be done is well known; but it may be useful to have more examples. Consider the two following circles of two unifilars each of fourteen crossings—

which are the simplest possible that have their janal symmetries. I wish to show that the knots are completely given by their circles, as are also their symmetries.

In the figure 1 following, the knot 9Aj has a triangular section Prr cutting away on each side of it a (3 + r)-gonal mesh, and 9Ar2 has such a section Rpp, through one crossing only. Make in these knots creases at rr that approach to meet at R in 2, and creases pp that meet at P in 2. In 3, 2 is prepared for a rotation through two right angles about the fixed axis PE, through the crossing P and the crease-kiss R, or, as a more learned man would say, through the decussation P and the plicatorial osculation R–taking 2 for 9Aj: exchange here P and R if 2 is 9Ar2.

The law of variation of the electromotive force of polarisation with current-density has been very thoroughly investigated. It is found that it may be represented by an equation of the form

where x is the current-density, and a, b, c are constants. So for very feeble direct currents the reverse polarisation current is proportional to the current-density; but for strong currents it cannot be expressed by an algebraical formula as a function of the current-density in a finite series of terms. The above formula gives the maximum value of the polarisation current. So far as I know, no observations have been made regarding its variation with time from its commencement until the maximum is reached. This question is of interest chiefly from a theoretical point of view. The object of this note is to describe the result of some experiments made on this subject. Platinum electrodes, heated to redness before each experiment, were used.

Dr Albrecht of Brussels has recently traversed the well-known and generally accepted theory originally advanced by Goethe, that in the alveolar form of cleft palate the fissure lies in the plane of the suture between the intermaxillary and superior maxillary bones, and has suggested, in substitution for this theory, that in the early embryo each intermaxilla is divided into an inner mesial bone (endognathion) and an outer lateral bone (mesognathion), and that the alveolar cleft is an open state of the suture intervening between these two divisions.

The design and construction of the instrument now to be described was undertaken on the suggestion of General Walker, of the East Indian Trigonometrical Survey. At the Aberdeen Meeting of the British Association in 1885, General Walker obtained the appointment of a committee to examine into the whole question of the present methods and instruments for the measurement of gravitational force, and to promote investigation, having for its object the production of gravitation measuring instruments of a more reliable and accurate character than those now in use.

For many years past some little amount of isolated work has occasionally been accomplished in photographing certain of the brighter stars. But lately, stellar photography has gone forward with leaps and bounds; so that at a dozen different Observatories in Europe, America, South Africa, and Australia, so much is now being done in that line, that there is a speedy prospect of, in a manner, the whole sidereal heavens being photographed, and after a fashion that would not only have astonished Hipparchus, but been equally surprising to either Sir William Herschel, or Argelander or Struve up to within a very few years ago.

My attention has been occupied of late with a chemical and microscopical study on the action of various compounds on the lower forms of plant-life. I have already presented to the Chemical Society of London a paper on the Action of a Solution of Ferrous Sulphate on certain Parasitic Diseases which attack our Crops. (This paper will be published presently.) I wish here to detail some studies on the action of salicylic acid (C7H6O3) on certain ferments (organised and unorganised). A solution of salicylic acid was prepared contaiaing 0·2 gram, of the acid in 1000 c.c. of water.