Calendar: 1896-1897 Page 722

cxxxii FACULTY OF SCIENCE XIX -JhtStnmuntal iBraUmig SECOND YEAR About circle of 15 diameter place equal circles each to be in contact with two others and with the given circle ז lamp-shade is in the form of truncated cone Thc diameter of the upper circle is 9" and of the lower 24 and the axis of the shade is Γ 6" long The figure is drawn to scale of 1" to Γ Give the development of the shade Draw triangular plot of ground the lengths of its sides being 16 24 and 29 yards respectively In the scale to which it is drawn yards are represented by f" Draw this scale and figure it correctly rectangular framework 2" square is composed of wood thick and so placed that its square faces are parallel to the ground while one diagonal of these receding from us towards the right makes an angle of 67 with the The nearest portion of the object from is 1" from it Give the form of the shadow cast by the framework upon the cone having axis of 4" and base of 4" diameter stands on It is penetrated by cylinder of 2" diameter and 5" axis The axis of the cylinder is parallel to both and at height of H" from the former The axes of the two solids are in the same vertical plane Show all lines of penetration visible or not marking in the latter by dotted lines rmm cylinder axis vertical and 2-jj long has diameter of 2" It is cut by plane at 45 with the ground that cuts the axis at its centre Give development of the cylinder marking on the envelope the line made by the section Two prisms having their ends hexagons of 1" side each rest on one of their rectangular faces their axes being parallel long and apart Resting equally upon these and at right angles to them is third and similar prism Represent these isometrically Draw scale of 3זןto measure miles furlongs and