The Royal Irish Academy in Dublin have published a report of their proceedings, which comprise reports on rain-falls, meteors, ancient urns, and other Irish antiquities, besides Roman and Carthaginian; on hygrometry, chiefly with regard to the pressure of the dew-point; and on artificial islands. Of the latter, it appears that several exist in different parts of Ireland; but the one to which attention is particularly directed is near Strokestown, Roscommon. The lake Clonfinlough having been drained by the Board of Works, the structure of the islet, which had long occupied its centre, was laid bare. It proved to be about 130 feet in diameter, constructed on oak piles, forming a sort of 'triple stockade,' with stems laid flat towards the centre for a floor, over which earth, clay, and marl were heaped, with two flat irregular stone-floors covering the whole at different depths below the surface. Two canoes were also found, each hollowed out of a single tree, and a great collection of miscellaneous ornaments and domestic utensils--all of which being illustrative of different periods of Irish history, will receive due attention at the hands of Irish antiquaries. Visitors to the Society's Museum will be gratified to know that Mr Petrie is preparing a catalogue of that valuable and interesting assemblage of rarities. He is to begin with the Stone Period, and come down to the Bronze and Iron, according to their respective dates, with dissertations prefixed. This is following the good example set by your Scottish Society of Antiquaries. It is a fact honourable to the society that they do not confine their honours exclusively to contributors to their own 'Transactions.' At their late anniversary, they gave their gold medal to the Rev. J.H. Jellett, for his labours in treating the noblest mathematical subjects in a way to make them intelligible to students. As the president said in his address: 'Descending from the more desirable position of an inventor to the humbler but more useful one of enabling others to place themselves on a level with himself, by compiling for their use an excellent elementary treatise, he has conferred on his species a benefit of the highest order,' in a work which otherwise was 'as little likely to be given to the world as it was desirable that it should be so.'