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Page Title: Cavalier Projection
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Oblique Drawing Techniques

may  also  be  shown  on  this  single  plane  by constructing  the  receding  projection  lines  of  the object  at  an  angle  other  than  perpendicular  to  the plane   of   projection. Figure  5-46  shows  the  same  object  by  both orthographic  and  oblique  projection.  The  block is  placed  so  that  its  front  surface  (the  surface toward the plane of projection) is parallel to the plane   of   projection.   You   can   see   that   the orthographic  projection  shows  only  this  surface of the block. The oblique projection, on the other hand,  shows  the  front  surface  and  also  the  top and  side  surfaces.  The  orthographic  projection shows only two dimensions: length and width. The oblique  projection  shows  three:  length,  width,  and thickness.  Oblique  projection,  then,  is  one  method by which an object can be shown, in a single view, in all three dimensions. There  are  two  types  of  oblique  single-plane projections:  CAVALIER  and  CABINET. Cavalier Projection CAVALIER   PROJECTION   is   a   form   of oblique  projection  in  which  the  projection  lines are presumed to make a 45-degree vertical and a 45-degree   horizontal   angle   with   the   plane   of projection.  Assume  that  in  figure  5-47  the  line XX'  represents  a  side-edge  view  of  the  plane  of projection, and that the square ABCD represents a side of a cube, placed with its front face parallel to,  and  its  top  face  perpendicular  to,  the  plane of  projection.  You  can  see  that  the  projected lengths of AB and AD are the same as the actual lengths. Now assume that the line XX' in figure 5-47 represents   a   top-edge   view   of   the   plane   of Figure 5-46.—Oblique and orthographic projections of the same object. Figure 5-47.—Angle of projection lines in a cavalier projection. projection, and that the square ABCD represents the  top  of  the  cube.  You  can  see  again  that  the projected lengths of AB and AD are the same as the  actual  lengths  of  AB  and  AD. In  a  cavalier  projection,  then,  any  line  parallel to  or  perpendicular  to  the  plane  of  projection  is projected in its true length. Figure 5-48 shows a cavalier  projection  of  the  cube  shown  in  figure 5-47.  You  start  by  drawing  the  axis,  which consists  of  the  front  axes  OA  and  OB  and  the receding  axis  OC.  The  front  axes  are  always perpendicular  to  each  other;  the  receding  axis Figure  5-48.—Cavalier  projection  of  a  cube. 5-25

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