The Academy of Medicine met on the 8th of August, to communicate their sentiments to the Board of Health: they presented the following document, which was published for the information of the public, viz.THE Academy of Medicine of Philadelphia, having taken into consideration the existence of a malignant bilious fe|ver in this city, have conceived it to be their duty to lay before the managers of the Marine and City Hospitals, the following facts respecting its origin, and the means of checking its pro|gress.We have, upon inquiry, discovered that a case of this fever existed in the city on the 6th of June, and that several cases of it existed in July, in parts of the city remote from the river, and wholly unconnected with each other. They ap|peared to originate from the putrid exhalations of alleys and gutters, and docks, and from the stagnating water in the neighbourhood of the city. We derive the late rapid increase of the ever from the foul air of several ships lately arrived in the port, and from some damaged coffee which arrived in a brig from Jamaica on the 29th of July. In the course of our inquiries into the origin of the fever, we did not meet with a single fact that could support the opinion of contagion be|ing imported in the bodies or clothes of sick people in the ships or vessels which lie between Walnut and Spruce streets, where the disease has prevailed most. Many respect|able modern authorities assert that the yellow fever is not con|tagious in the West-Indies, and repeated observations satisfy us, that it is rarely so during the warm weather in the United States. None of the cases we have as yet seen, have propa|gated it, and we conceive it to be an error as absurd, in its nature, as it has been fatal in its operation upon the city of Philadelphia, that the contagion of a disease should adhere to the timber of a ship after a sea voyage, and should spread from the timber of the ship without contact through an extensive neighbourhood, and cease to communicate itself afterwards by long and close connection of the sick with their families and attendants. We lament that this fact, together with many others upon the nature and origin of the yellow fever, which were stated in our letter to the Governor, on the 1st of December, 1797, and by him laid before the legislature of the state, have been treated with total neglect in the present health law: the distress we felt upon seeing that law is, how|ever, much alleviated by the reflection, that we have not con|tributed, 0