Advanced Mechanical Drawing: A Text for Engineering Students

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J. Wiley, 1905 - Mechanical drawing - 177 pages
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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 45 - O as a center. and a radius equal to the radius of the button head, describe a circle.
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...

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