Development of surfaces
Download as PPTX, PDF1 like848 views
The document discusses different methods for developing the surfaces of solids onto a plane. There are four main types of development - parallel-line, radial-line, triangulation, and approximate. Parallel-line development is used for prisms and cylinders, radial-line development is used for pyramids and cones, and triangulation development divides surfaces into triangles for transition pieces. The approximate method is used for objects with double curved or warped surfaces like spheres.
Development of surfaces
- 3. INTRODUCTION When Surfaces of a solid are laid out on a plane the figure obtained is called DEVELOPMENT
- 4. METHODS OF DEVELOPMENT There are four main types of developments Parallel- line development Radial –line development Triangulation development Approximate Method
- 5. PARALLEL-LINE DEVELOPMENT It is employed in case of prisms and cylinders in which stretch –out-line principle Is used.
- 6. RADIAL-LINE-DEVELOPMENT It is used for pyramids and cones in which the true length of the slant edge or the generator is used as radial.
- 7. TRIANGULATION DEVELOPMENT This is used to develop transition pieces. This is simply a method of dividing a surface into a number of triangles and transferring them into the development.
- 8. APPROXIMATE METHOD It is used to develop object of double curved or warped surface as Sphere, Parabolic, Ellipsoid, Hyperboloid and the Helicoids.
- 9. WHAT IS CUBE In geometry a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.
- 10. CUBE The development of the surface of the cube consist of six equal squares the length of the side of the squares being equal to the length of the edge of the cube