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Advanced Mechanical Drawing: A Text for Engineering Students - Scholar's ...
Alpha Pierce Jamison
No preview available - 2015
angle of 450 assumed center line circle cone cube curved line Descriptive Geometry dimensions Directions for Drawing distance points draw a line drawing all necessary drawing for inspection drawn elements example find the perspective find the point find the shadow finish the sheet given line given point ground-line guys pierce H projection helicoid horizon-line horizontal plane horizontal projection inking isometric drawing isometric projection joining this point line M-N line of sight line parallel line pierces lines in light locate mechanical drawing method object orthographic projection parallel lines Pass a plane perpen perpendicular picture plane pierces the picture pierces the plane pierces the vertical plan and elevation plane tangent planes of projection point of sight practice presented by Plate projecting planes rays of light required perspective required plane second quadrant section 36 shadow cast shadow falls shadow-points sheet by lettering side spective submit the drawing surface true length vertical plane vertical projection
Page 106 - The angle between a line and a plane is the angle between the line and its projection on the plane; therefore, project the given line on the given plane, pass a plane m FIG.
Page 44 - Problem XIX. To construct the shadow of a line on a plane to which it is parallel. (1) It will be parallel to the projection of the ^ given line. (2) It will be equal in length to the projection of the line.
Page 110 - PROBLEM u: (a) Pass a plane tangent to a cylinder at a point on the surface. (Fig. 89.) (b) Pass a plane through a point without the cone tangent to the cone. (Fig. 90.) Suggestion : . (a) Through the point on the cylinder draw an element; at the point where the element cuts the base of the cylinder draw a tangent to the base. These two lines will determine the tangent plane.
Page 107 - To show the true size of this angle, revolve the auxiliary plane about one of its traces into the corresponding plane of projection.
Page 110 - V about the corresponding trace; the points will then appear in their true position with respect to one another; therefore, draw a circle through the three points while in this position, assume a number of points, other than the three given points on the circle, and revolve the plane back to its initial position. TANGENT PLANES. 62. PROBLEM 10: (a) Pass a plane tangent to a cone at a point on the surface. (Fig. 87.) (b) Pass a plane parallel to a line MN and tangent to a cylinder. (Fig. 88.) jrf...
Page 66 - ... sight pierces the picture plane. From the above it is evident that a system of parallel lines has a common vanishing-point, for the line through the point of sight parallel to one line is parallel to all of them, hence the common vanishing-point. 37. Rule for Finding the Vanishing-point of a Line. — To find the vanishing-point of a line pass a parallel line through the point of sight and find where...
Page 109 - ... 37. To find the shortest distance from a given point to a given line. Analysis. A perpendicular drawn from the given point to the given line will be the required shortest distance. The length of this perpendicular may be found by passing a plane through the given point and line, and revolving this plane about one of its traces into the corresponding plane of projection. A line drawn through the revolved position of the point perpendicular to the revolved position of the line will be the required...
Page 111 - Draw a line through the given point and the apex of the cone; find where the line pierces the plane of the base of the cone, and through this point draw a line tangent to the base. These two lines will determine the required plane. 64. PROBLEM 12: (a) Pass a plane tangent to a sphere at a point on the surface. (b) Pass a plane parallel to a line and tangent to a cone. (Fig. 91.) •P NO
Page 106 - Pass a plane through the given point perpendicular to the given plane, and find its intersection with the given plane; revolve the perpendicular plane about one of its traces, and draw a line through the revolved position of the point making the required angle with the revolved position of the...