Calendar: 1867-1868 Page 492

APPLIED SCIENCES 493 of the wood is and of brass what is that of the whole sphere If it lies at the bottom of vessel of distilled water feet deep find the whole pressure as well as the resultant pressure on the surface 12 Describe an experiment which proves that the pressure of quantity of confined air varies inversely as the space it occupies The receiver of an air-pump has 10 times the volume which the barrel has and piece of bladder is placed over the top of it the bladder is able to bear pressure of lbs on the square inch and the pressure of the atmosphere is 15 lbs Show that the bladder will burst between the fourth and fifth strokes Given-log 11 04139 and log 15 1-17609 II -practical tometrn SECOND TEAR Construct an equilateral triangle of inches area Draw triangle its sides being 23 25 inches and make two at least of the following constructions on it Make square equal to it in area Make an equilateral triangle equal to it in area Bisect it by line parallel to the shortest side Draw triangle similar to it but of twice its area prism inches long with square base of inches side is to be represented in two at least of the following positions When one diagonal of the solid is vertical When one diagonal of the solid is horizontal and one face inclined at 30 When the diagonals of two adjacent faces are either vertical or horizontal Three lines inches long meet in point each is per- pendicular to the other two represent these lines either- When two are inclined at 30 and 50