A) To draw a line through a given point, parallel to a given straight line
1. Let AB be the given line and P be the given point at a distance.
2. With centre P any convenient radius, draw an arc CD cutting AB at E.
3. With the same radius, from point E as centre draw an arc cutting AB at F.
4. Point E as centre and radius equals to FP, draw an arc cutting CD at Q.
5. Draw a line connecting PQ, This is the required line parallel to AB.
B) To draw a line parallel to, and at a given distance from a straight line
1. Let AB be the given line and R is the given radius.
2. Mark points P and Q on line AB, as far apart as convenient.
3. By taking R as radius draw an arc C from given point P.
4. with same radius draw another arc D from point Q.
5. Draw the line CD, just touching the two arc's, now this becomes the parallel line to the given line AB.