Projection of Lines inclined to both planes
THEORY:
True Length: Actual length of a given line, length of the projection is less than the length of True length.
Theta: It is the angle made by the actual line with HP(wrt to XY line)
Phi: It is the angle made by the actual line with VP(wrt to XY line).
Alpha: Apparent angle made by projection in the HP with the XY line.
Beta: Apparent angle made by projection in the VP with the XY line.
Traces of lines: It is defined as the point at which the given line if produced, meets, or intersects the plane.
When the line meets HP(or the extended portion to HP), the point at which the lines trace(HT)of the line and denoted by letter H. Similarly to VT and point denoted by V.
When the line parallel to both HP & VP, there will be no trace on the said planes.
When a line is inclined to both HP and VP, the apparent inclination of the line to both the projection planes will be different from the actual inclinations. Similarly the projected length of the lines on to the planes will not be the same as the true length of the line. The following notation will be used for the inclinations and length of the lines for this entire lecture series:
Actual inclinations are θ degrees to HP and φ degrees to VP. Apparent Inclinations are a and b to HP and VP respectively. The Apparent Lengths of line AB are ab and a΄b΄ in the top view and front view respectively
