Soon after Mr. West's decease, a deputation from the Council of the Royal Academy waited on his sons and the executors, to apprise them of the intention of that body to honour the remains of their late President., by attending them to his grave, according to the ceremonial adopted on the public interment of the late Sir Joshua Reynolds, in St. Paul's Cathedral. His Majesty having, as Patron of the Royal Academy, given his gracious sanction that similar honours should be paid to the late venerable President, his sons and executors adopted active preparations to carry the arrangement into effect. As the schools of the Royal Academy were closed, and all its functions suspended, by the death of the late President, it was of material importance on this account, and with the view to the usual preparatory arrangements for the annual exhibition, that the funeral should not be delayed; and as early a day as practicable was therefore fixed for the public interment in St. Paul's Cathedral. The obvious consequence, however, of this has been, that owing to the absence from town, at this particular season, of so many noblemen and gentlemen of the highest rank, and the indisposition of several others, many warm admirers and friends of this celebrated artist and amiable man, who have, during his long life, honoured him with their friendship, and who have been particularly desirous of paying their last tribute of respect to his remains, have been precluded attending the funeral. The corpse was privately brought to the Royal Academy on Tuesday evening, attended by the sons and grandson of the deceased, and two intimate friends, Mr. Henderson (one of the trustees and executors of the deceased) and Mr. Hayes (for many years his medical attendant), and was received by the council and officers of the Royal Academy, and their undertaker and his attendants, with every mark of respect. The body was then deposited in the smaller Exhibition-room, on the ground-floor, which was hung on the occasion with black. About half-past ten yesterday morning, the Academicians, Associates, and Students, assembled in the Great Exhibition-room, and the nobility, gentry, and the deceased's private friends, soon after arrived, and joined the mournful band. The chief mourners were in seclusion in the library of the Academy. About half-past twelve o'clock, the whole of the arrangements having been effected, the Procession moved from Somerset House to St. Paul's Cathedral in the following order: Six Constables, by threes. Four Marshalmen, two and two. City Marshal on horseback. Undertaker on horseback. Six Cloakmen on horseback, by twos. Four Mutes on horseback, by twos. Lid of Feathers, with attendant Pages. Hearse and Six, with rich trappings, feathers, and velvets, attended by Eight Pages. Two Mourning Coaches and four, with attendant Pages, conveying the Pall-bearers.