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TD6/1: TRACES

TRACES. The trace of a line is defined as a point at which the given line, if produced, meets or intersects a plane. • When a line meets HP, (or if necessary on the extended portion-of HP), the point at which the line meets or intersects the horizontal plane, is called horizontal trace (HT)of the line and denoted by the letter H.

TRACES

The trace of a line is defined as a point at which the given line, if produced, meets or intersects a plane. • When a line meets HP, (or if necessary on the extended portion-of HP), the point at which the line meets or intersects the horizontal plane, is called horizontal trace (HT)of the line and denoted by the letter H. • When a line meets VP (or if necessary on the extended portion of VP), the point at which the line meets or intersects the vertical plane, is called vertical trace (VT) of the line and denoted by the letter V

NOTE: When the line is parallel to both HP and VP, there will be no traces on the said planes. Therefore, the traces of lines are determined in the following positions of the lines.

1. Lines perpendicular to one plane and parallel to the other

2. Lines inclined to one plane and parallel to the other.

3. Lines inclined to both the planes

Trace of a line perpendicular to one plane and parallel to the other

Since the line is perpendicular to one plane and parallel to the other, the trace of the line is obtained only on the plane to which it is perpendicular, and no trace of the line is obtained on the other plane to which it is parallel.

TRACE of the line perpendicular to the VP

Traces of a line inclined to one plane and parallel to the other

When the line is inclined to one plane and parallel to the other, the trace of the line is obtained only on the plane to which it is inclined, and no trace is obtained on the plane to which it is parallel.

A. Line inclined at  to HP and parallel to VP

B. Line inclined at to VP and parallel to HP

Traces of a line inclined to both the planes

Line inclined at q to HP and j to VP.

The line when extended intersects HP at H, the horizontal trace, but will never intersect the portion of VP above XY line, i.e. within the portion of the VP in the 1st quadrant. Therefore, VP is extended below HP such that when the line AB is produced it will intersect in the extended portion of VP at V, the vertical trace.

In this case both HT and VT of the line AB lie below XY line.

 

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