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Geometry for Modeling and Design

📄 Contents

  1. Objectives
  2. Objectives
  3. Overview
  4. Overview
  5. Coordinates for 3D Cad Modeling
  6. Coordinates for 3D Cad Modeling
  7. Geometric Entities
  8. Geometric Entities
  9. 4.1 Manually Bisecting a Line or Circular Arc
  10. 4.1 Manually Bisecting a Line or Circular Arc
  11. 4.2 Drawing Tangents to Two Circles
  12. 4.2 Drawing Tangents to Two Circles
  13. 4.3 Drawing an Arc Tangent to a Line or Arc and through a Point
  14. 4.3 Drawing an Arc Tangent to a Line or Arc and through a Point
  15. 4.4 Bisecting an Angle
  16. 4.4 Bisecting an Angle
  17. 4.5 Drawing a Line through a Point and Parallel to a Line
  18. 4.5 Drawing a Line through a Point and Parallel to a Line
  19. 4.6 Drawing a Triangle with Sides Given
  20. 4.6 Drawing a Triangle with Sides Given
  21. 4.7 Drawing a Right Triangle with Hypotenuse and One Side Given
  22. 4.7 Drawing a Right Triangle with Hypotenuse and One Side Given
  23. 4.8 Laying Out an Angle
  24. 4.8 Laying Out an Angle
  25. 4.9 Drawing an Equilateral Triangle
  26. 4.9 Drawing an Equilateral Triangle
  27. 4.10 Polygons
  28. 4.10 Polygons
  29. 4.11 Drawing a Regular Pentagon
  30. 4.11 Drawing a Regular Pentagon
  31. 4.12 Drawing a Hexagon
  32. 4.12 Drawing a Hexagon
  33. 4.13 Ellipses
  34. 4.13 Ellipses
  35. 4.14 Spline Curves
  36. 4.14 Spline Curves
  37. 4.15 Geometric Relationships
  38. 4.15 Geometric Relationships
  39. 4.16 Solid Primitives
  40. 4.16 Solid Primitives
  41. 4.17 Recognizing Symmetry
  42. 4.17 Recognizing Symmetry
  43. 4.18 Extruded Forms
  44. 4.18 Extruded Forms
  45. 4.19 Revolved Forms
  46. 4.19 Revolved Forms
  47. 4.20 Irregular Surfaces
  48. 4.20 Irregular Surfaces
  49. 4.21 User Coordinate Systems
  50. 4.21 User Coordinate Systems
  51. 4.22 Transformations
  52. 4.22 Transformations
  53. Key Words
  54. Key Words
  55. Chapter Summary
  56. Chapter Summary
  57. Skills Summary
  58. Skills Summary
  59. Review Questions
  60. Review Questions
  61. Chapter Exercises
  62. Chapter Exercises

In this sample chapter from Technical Drawing with Engineering Graphics, 16th Edition identify basic elements, select profiles, sketch symmetry, explore extrusion and revolution techniques, define Boolean operations, and work with CAD transformations.

This chapter is from the book

Objectives

After studying the material in this chapter, you should be able to:

  1. Identify and specify basic geometric elements and primitive shapes.

  2. Select a 2D profile that best describes the shape of an object.

  3. Identify mirrored shapes and sketch their lines of symmetry.

  4. Identify shapes that can be formed by extrusion and sketch their cross sections.

  5. Identify shapes that can be formed by revolution techniques and sketch their profiles.

  6. Define Boolean operations.

  7. Specify the Boolean operations to combine primitive shapes into a complex shape.

  8. Work with Cartesian coordinates and user coordinate systems in a CAD system.

  9. Identify the transformations common to CAD systems.

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Many different geometric shapes were used to model this jetboard. The wireframe view of the top cover reveals several regular geometric shapes used to model the interior components. The graceful lines of the outer hull are defined by the irregular curves used to model it. (Courtesy of Leo Greene, www.e-Cognition.net.)

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