The author stated, that one night he had observed a gentleman employed in experimenting upon the tintinnabular powers of bells, as produced by voltaic action communicated through copper wires; the end of the wire being conducted into the open air, and the point defended by a brass knob. Feeling interested in the prosecution of this experiment, the author immediately proceeded to the spot to make inquiries into its success; but when within two paces of the experimentalist, he had suddenly received so severe a shock that he was stunned for the moment. When he recovered from its effects, the gentleman was gone. This he particularly regretted, as he much wished to have discovered the power which had produced the shock that prostrated him; but as he had observed another gentleman a short distance behind him, he supposes that he, being an assistant of the experimentalist, was engaged in generating the galvanic fluid, which, passing from him to the one in connexion with the brass knob, (from thence to be communicated to the bell through the wire,) had produced the shock described--the author's body intercepting its flow, and thus being in a state of interference. "A COMPARISON BETWEEN THE RESULTS GIVEN BY RAIN-GAUGES AND KNOWN FACTS WITH REGARD TO LACHRYMATOSE PRECIPITATIONS." By Dr. Daw. The object of this paper was, to point out the connexion which exists between the quantities of rain received on horizontal surfaces, at _different heights_ above the ground, and the quantity of lachrymal vapour condensed into tears, also at different heights; and showing that, in both cases, the less the elevation the greater were the quantities. Thus, a rain-gauge, four feet from the ground, will intercept less than one on the ground; and a child of _four_ feet high will produce less than one _two_ feet high. "On the Expression of Unknown Quantities." By Prof. Muddelwitz. A method of expressing unknown quantities by known formulæ has long been a desideratum in mathematical science. This process the author stated he had discovered; for that the fractions of coefficient indices, when used to express the powers of differential equations, are always capable of being solved into pure algebraic roots. Thus, if in an infinitesimal series, in which p, o, o2--t--t2 are unknown given quantities, a, a2, and e, known, and the value to be limited, the equation stands as follows:-- 1. a x - a2 x p o t2 = t, o, e. 2. a x = t o e + a - p o t2 3. x = 2[sqrt](a - p o t2 + a2 - t o e) Thus the generalization of the equation of x, to the nth degree, gives its fraction in the form of an algebraic root. [To some readers the above demonstrations may seem rather obscure; but as the late Dr. Dundertop, in his treatise on the _Perspicuous_, clearly explains--"Ephpnxmqzomubh grudcnkrl, hqmpt on kronswt."] * * * * *