The president’s house, as it is called, was erected for the residence of the president, before the removal of the seat of the federal government from Philadelphia was agitated. The original plan of this building was drawn by a private gentleman, resident in the neighbourhood of Philadelphia, and was possessed, it is said, of no small share of merit; but the committee of citizens, that was appointed to take the plan into consideration, and to direct the building, conceiving that it could be improved upon, reversed the positions of the upper and lower stories, placing the latter at top, so that the pilasters, with which it is ornamented, appear suspended in the air. The committee also contrived, that the windows of the principal apartments, instead of opening into a spacious area in front of the house, as was designed at first, should face towards the confined back yards of the adjoining houses. This building is not yet finished, and as the removal of the seat of government to the federal city of Washington is so shortly to take place, it is most probable that it will never be occupied by the president. To what purpose it will be now applied is yet undetermined. Some imagine, that it will be converted into a city hotel; others, that it will be destined for the residence of the governor of the state. For the latter purpose, it would be unfit in the extreme, the salary of the governor being so inconsiderable, that it would not enable him to keep up an establishment suitable to a dwelling of one-fourth part the size of it. [Sidenote: PHILADELPHIA.] The hospital, for its airiness, for its convenient accommodation for the sick and infirm, and for the neatness exhibited throughout every part of it, cannot be surpassed by any institution of the kind in the world. The plan of the building is in the form of the letter H. At present but one wing and a part of the center are finished; but the rest of the building is in a state of forwardness. It is two stories high, and underneath the whole are cells for lunatics. Persons labouring under any disorder of body or mind are received into this hospital, excepting such as have diseases that are contagious, and of a malignant nature; such patients, however, have the advice of the attending physicians gratis, and are supplied with medicine from the hospital dispensary.