Suppose it is required to find the lengths of AD and BD, in the triangle ABC (below figure). In this A, C points are intact stones on the ground and B is a missing point that is to be re-fixed on the ground. It would take a long time to fix the B point by laying of distances “AB” and “CB by trial and error method”, the method could not be accurate. or if any obstruction came across the line AB. The N.O.S. problem is used to re-fixing a missing stone point by accurately calculating the cutting point on the chain line and getting offset distance by the following formula.
CUTTING POINT DISTANCE:
PROOF OF CUTTING POINT DISTANCE AD:
FROM TRIANGLE ABC,
Offset Distance BD:
We know from the properties of a right-angle triangle that the perpendicular or offset distance is equal to the root of the square of the hypothenuse minus the square of the base.
We can calculate the area of a triangle by
If a stone at a bend on a Poramboke boundary is missing and the trijunctions of the G line are intact on the ground, then we have to measure chain line distance and offset measurement along the G line as per FMB.
