(The Pall Mall.)

An interesting lecture was delivered at Riverside, Ohio, the other day, by Mr Atnericuß Svmmes, explaiuing a theory pro mulgated fifty years ago by his father, Captain John Symraes, who died of a broken he^rfc in 1829, because his country the United Btates, would not take advantage of a splendid prize that lay within its grasp. Captain Symmes's theory, briefly told, was to the effect that the earth is hollow anil habitable on its int«rior surfacp, and that, without much trouble or expense, the glorious country to be found there might be taken possession of by the United Stales. The de presnion in the surface of the earth begins afc some jy)int between the sixty-eighth and eightieth degrees of latitude, and the transi tion space or verge occupies about 1800 miles, after which the suiface is concave, opening towards the interior. Captain Syinraoa maintained that tha crust of the earth in about 1000 miles thick, leaving an interior space of about 6000 miles. The distance from one run of the depression of the out ward Bar face to the other he claimed to be about 4000 miles, and is in the shape of a funnel until the narrowest point k reached, whence the surface widens out into the in terior concavity. Light and heat being es sential to this new world, Captain Symm.es relied upon the rays of the sun being cast directly into the opening a certain dis tance, and then being refracted and re flected until they should yield light and heat to the whole interior ; but any deficiency on thepe points could, of course, be remedied by gas. Captain Symmes petitioned Congress to grant him means to make an expedition to the North, expecting to sail into the interior of the earth at the Pole, and to plant the flag of hio country in its bowels. His petition not meeting with a favourable reply, he died under the disappointment ; and his son, while delivering the lecture respecting this new worid of Symmezonia, as it is called, was so overcome by emotion that he fell prostrate on the platform before he con> eluded it.
