1st. After a lifetime of research into the laws governing vibrations, which develop this force, Keely is able to demonstrate partial control of the power that he has discovered,--a power which he believes to be the governing medium of the universe, throughout animate and inanimate nature, controlling the advance and recession of the solar and planetary masses, and reigning in the mineral, the vegetable, and the animal kingdom, according to the laws that rule its action in each, as undeviatingly as it governs the motions of the earth itself, and of all the heavenly bodies in space. Keely calls this power, which he is endeavouring to apply in mechanics for the benefit of mankind, "sympathetic negative attraction,"--it being necessary to use the word "attraction," as no other word has yet been coined to take its place. 2nd. He has determined and written out a system of the vibratory conditions governing the aggregation of all molecular masses, as to their relation sympathetically one to the other, stating the conditions to be brought about in order to induce antagonism or repellent action, disintegration, etc.; but he has not yet been able to control the operation of his Disintegrator so as to use it with safety to the operator, for mining purposes, etc. 3rd. He has proved by demonstration that the subdivision of matter under different orders of progressive vibration evolves by such subdivision entirely new and distinct elements, too multiple to enumerate. He has systematized the proper vibratory chords, progressively, from the introductory molecular to the inter-etheric, embracing seven distinct orders of triple subdivision. He has elaborated a system of inducing sympathetic negative attraction on metallic masses, with great range of motion, and instant depolarization of the same, by vibratory change of their neutral centres. Keely controls the transmission of these sympathetic streams by a medium of high molecular density, viz., drawn wires of differentiated metals, gold, silver, platinum, German silver, etc. In some recent experiments he took apart, for inspection of its interior construction, the instrument which he has invented for the production of the force, cutting the wires with which he had operated in sympathetic attraction and propulsion, and distributing the fragments to those who were present, among whom was Professor Leidy, to whom the Geological Society of London has awarded the Lyell Medal, and the Academy of Sciences of France the Cuvier Prize. 4th. Keely has discovered that all sympathetic streams, cerebellic, gravital, magnetic, and electric, are composed of triple flows; this fact governing all the terrestrial and celestial orders of positive and negative radiation. In gravity it would be more correct to speak of triple connective links, as there is no flow of gravity.