usd 1.3.4.4 download with all plugins

in the given line xy, and draw meridians through them. Proceed, as in the case of the points x, y, to find the position of these meridians in No. 3 the development of the cylinder and then through the points chosen in the given line x y in No. 2, draw projectors to cut the new meridians found in No. 3. A line drawn through the points of these intersections will be the development required. 88. Assuming the converse of the last problem, or one where the development of a line is given, and its position and delineation on the solid itself is required, then to show these, we have in effect to re-cover the solid, with the envelope that contains the given line. Let the problem be 200 FIRST PRINCIPLES OF Problem 94 (Fig. 197). Given a straight line eg, drawn on the envelope defy of the cylinder ; required the projection of that line on the solid itself. To find this, divide the length of the given envelope into any number say 16 of equal parts, and assume the circle of No. 1, and tin* rectangle defg of No. 2, Fig. 197, to be the plan and elevation of the c} 7 linder whose envelope is given. Divide the circumferential line of No. 1 into the same number of equal parts, that the length of the envelope is divided into, and through the points of division draw meridians as in No. 2. On to each of these meridians in consecutive order, project over the points where the given line eg cuts its corre- sponding meridian drawn in No. 3. Eight of these from 1 to 8 will be on the front side of the cylinder in No. 2, the remaining eight being on its rear side. Now, if through the points in the meridians 1 to 8 in No. 2 pro-