Elements of Descriptive Geometry |
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Common terms and phrases
30 degrees 45 degrees A-B and C-D allel Analysis axis b₁ base c₁ circle cone Construction cube cutting plane cylinder Descriptive Geometry determine the line Determine the projections determine the true develop the surface Draw the projections edge equal Exercise figure front given angle given plane given point hence horizontal piercing point horizontal projection horizontal trace Indicate the line intersection A-B isometric projection line A-B line C-D line in space line of intersection parallel to G-L parallel to H Pass a plane pendicular perpendicular to G-L perpendicular to H Perspective plan and elevation plane of projection plane perpendicular point in space prism pyramid radius represent required angle required plane revolution Revolve the line rotation ruled projector shown in Fig space projector sphere swing tangent tion trace VR triangle true distance true form true length vertical and horizontal vertical piercing point vertical projection vertical trace
Popular passages
Page 100 - The altitude of a prism is the perpendicular distance between the planes of its bases. 591. DBF. A right prism is a prism whose lateral edges are perpendicular to its bases.
Page 100 - A cone is a solid bounded by a conical surface and a plane which cuts the conical surface. The plane is called the base and the curved surface the lateral area.
Page 100 - A conical surface is the surface generated by a moving straight line which constantly touches a fixed curve and passes through a fixed point not in the plane of the curve. The moving...
Page 100 - A right circular cone is one whose axis is perpendicular to the base ; an oblique circular cone is one whose axis is not perpendicular to the base.
Page 95 - ... roller 3 ft. long and 1^ ft. in diameter make, in order to go completely over a grass plot half an acre in extent ? 431. How large a cylinder can be made by rolling up a rectangular sheet of tin 80 in. by 60 in., so that the height of the cylinder is 80 in. ? How large, if the height is 60 in. ? A Pyramid is a solid bounded by a polygon called the base, and by triangles called lateral faces, which all terminate in one point called the vertex. A pyramid is triangular, hexagonal, etc., according...
Page 136 - To develop the surfaces, divide the circumference of the cylinder into any number of equal parts, and through the points of division draw lines parallel to the center line of the cy Under.
Page 45 - A cone whose base is a circle is called a circular cone. The straight line joining the vertex of a circular cone and the center of the base is called the axis of the cone.
Page 65 - C'D' is any line of the plane PQ perpendicular to AB, it follows that PQ is perpendicular to MN. § 262 265. Theorem X. If each of two intersecting planes is perpendicular to a third plane, their line of intersection is perpendicular to the third plane.
Page 100 - ... are. called the upper and lower nappes. The generatrix in any one position is called an element of the surface. A cone is a solid bounded by a conical surface and a plane which cuts all its elements. The plane is then called the base of the cone ; and the conical surface is called the lateral surface of the cone. The altitude of a cone is the perpendicular distance from its vertex to its base.
Page 6 - ... that plane, and the projections, on that plane, of all lines radiating from that point will be invisible. PI. 12, line 3, shows the convention for invisible lines; note that they are drawn somewhat thinner than visible lines. 44. Special Positions of Lines, etc. (a) If a line is parallel to any one plane of projection its projection on that plane is equal in length to the Line itself and makes the same angles with the other two planes of projection that the line itself makes. The projections...