07 Dec




















ends of its major axis with the projected apex as shown in No. 6, and it will be the required elevation. As a "sphere," when looked at from any direction, is a circle, when projected, we shall defer any problems in connection with it until we come to consider the projections of its sections which will follow those of the cylinder and cone, to which we next give attention. 102 MECHANICAL AND ENGINEERING DRAWING CHAPTER XIY THE PROJECTION OF THE SECTIONS OF A CYLINDER 46. FROM the definition previously given of a "cylinder," it follows that any and every point in its curved surface is at the same distance from its axis ; every plane section of it taken parallel to the axis is a rectangle, while every section at right angles to its axis or parallel to its ends is a circle. These are self-evident truths, and require no graphic illustration to prove them. It is then with ita sections not taken in either of the directions mentioned that we shall now deal. Our first problem in connection with them is Problem 51 (Fig. 150). Given the elevation of a cylinder, cut by a plane making an angle ivith its axis; to find the sectional elevation. Let the cutting plane KP, No. 1, make an angle of 45 with the HP, and be perpendicular to the VP, and the view required be that in the direction of the arrow. To solve this problem, we must know the distance between any point in the line of section on the front side of the cylinder, and its corresponding point on the side of the cylinder nearest the VP. To determine this, first find the plan of

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