WEDNESDAY.--This day, like its predecessor, opened with a cloudless sky, and the throng which crowded the avenues leading to the grand scene of attraction was, as we have elsewhere remarked, incalculable. * * * * * THE DERBY. The Derby Stakes of 50 sovs. each, h. ft. for three year-olds; colts, 8 st. 7 lb., fillies, 8 st. 2 lb.; the second to receive 100 sovs., and the winner to pay 100 sovs. towards police, etc.; mile and a half on the new Derby course; 215 subs. Lord Clifden's b.c. _Surplice_, by Touchstone.......... 1 Mr. Bowe's b.c. _Springy Jack_, by Hetman.............. 2 Mr. B. Green's br.c. _Shylock_, by Simoon.............. 3 Mr. Payne's b.c. _Glendower_, by Slane............... o Mr. J.P. Day's b.c. _Nil Desperandum_, by Venison...... o * * * * * DOCUMENT NO. 7. _Paragraph of Shipping Intelligence from the "Liverpool Courier" of June 21st, 1848:_ The bark _Euterpe_, Captain Riding, belonging to the Transatlantic Clipper Line of Messrs. Judkins & Cooke, left the Mersey yesterday afternoon, bound for New York. She took out the usual complement of steerage passengers. The first officer's cabin is occupied by Professor Titus Peebles, M.R.C.S., M.R.G.S., lately instructor in metallurgy at the University of Edinburgh, and Mr. William Beauvoir. Professor Peebles, we are informed, has an important scientific mission in the States, and will not return for six months. DOCUMENT NO. 8. _Paragraph from the "N.Y. Herald" of September 9th, 1848:_