Sir, In compliance with the request of Major General Sir Thomas Brisbane, I have the honour to lay before the Royal Society the results which I have deduced from his experiments, made with an invariable pendulum at London and at Paramatta. The pendulum employed belongs to the Board of LonĀgitude, and is of the same construction as that which I used at certain stations of the Trigonometrical Survey of Great Britain. Before Sir Thomas Brisbane's departure, I observed the following series of coincidences at Mr. Browne's house in Portland Place, London, in order to determine the number of vibrations made by this pendulum in twenty-four hours.