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Descriptive Geometry; With Numerous Problems and Practical Applications

Descriptive Geometry; With Numerous Problems and Practical Applications


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Purchase of this book includes free trial access to www.million-books.com where you can read more than a million books for free. This is an OCR edition with typos. Excerpt from book: o=aa, therefore, the distance from the revolved position of the vertical projection of a point to GL is equal to the distance from the point to H. And as oa is evidently in the same straight line with ofl, it follows that after the revolution of V, the two projections of a point are in the same perpendicular to GL. Likewise, after the revolution of V, the two projections of a point a.2 in the second angle are 2 and a2v, and the two projections of a point a3 in the third angle are ash and ag. After the revolution of V, the two planes of projection coincide, and taking the plane of the paper on which the drawing is made to represent the coincident planes, the projections of the points shown in Fig. 2 will appear as in Fig. 3. Examination of Figs. 2 and 3 will show that the two projections of points in the four angles are situated with reference to GL as follows: Hor. Proj. Ver. Proj. tistAng. below above ad Ang. above above 3d Ang. above below 4th Ang. below below Thus it will be seen that any two points in the same perpendicular to GL may be taken as the projections of a point in space. Hence, if a point in space is to be shown by two orthographic projections, a horizontal line is first drawn for the GL. Then an indefinite perpendicular to GL is drawn, and distances along this line are laid off equal to the distances from the point in space to the planes of projection above or below GL according to the given table. Art. 4. Projections of a Line. 4. The projection of a line upon a plane is the line which contains the projections of every point of the given line. In Fig. 4, the horizontal projection of the line ab is determined by the lines which project its points on H, and as these lie in a- plane abatf1 perpendicular to H, the horizontal projection is ...


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Product Details
  • ISBN-13: 9781459073333
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 108
  • Spine Width: 6 mm
  • Width: 189 mm
  • ISBN-10: 1459073339
  • Publisher Date: 01 Oct 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 209 gr


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