The epidemic whose approach we confidently announced a month since, is now prevailing among us, and appears as yet scarcely to have attained its maximum. The public mind having been prepared to expect its visitation, and quieted, to a considerable extent, by the preparations made for its reception, there has been little excitement, and certainly none of that panic which has elsewhere been so favourable to its ravages. Number of cases reported August 2d, 40 3d, 35 4th, 45 5th, 105[2] 6th, 136 7th, 136 8th, 114 --- Total for the week, 611 [2] Forty of these cases were in the Arch St. Prison, and not being reported until the next day, the number of cases appears from the report of the Board of Health to be, August 5th, 65, and on the 6th of August, 176. We hope in our next No. to be able to present a tabular view of the cases, showing the number each day from the commencement of the epidemic, the situations in which they have occurred, &c. The following table exhibits the whole mortality, and also that from bowel complaints for the 1st week in August for five successive years. 1828.--1st week, ending August 2d. Whole mortality, 129; of which, the deaths from cholera morbus were, adults, 3; children, 32; Total, 35.--Diarrhœa, adults, 2; children, 1; Total, 3.--Dysentery, adults, 0; children, 5; Total, 5.--Total from bowel complaints, 43. 1829.--1st week, ending August 8th. Whole mortality, 89; of which, the deaths from cholera morbus were, adults, 2; children, 18; Total, 20.--Diarrhœa, adults, 2; children, 2; Total, 4.--Dysentery, adults, 1; children, 2; Total, 3.--Total from bowel complaints, 27. 1830.--1st week, ending August 7th. Whole mortality, 80; of which, the deaths from cholera morbus were, adults, 0; children, 21; Total, 21.--Diarrhœa, adults, 1; children, 0; Total, 1.--Dysentery, adults, 1; children, 1; Total, 2.--Total from bowel complaints, 24. 1831.--1st week, ending August 6th. Whole mortality, 111; of which, the deaths from cholera morbus were, adults, 0; children, 23; Total, 23.--Diarrhœa, adults, 1; children, 5; Total, 6.--Dysentery, adults, 1; children, 3; Total, 4.--Total from bowel complaints, 33.