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Calculation Example Intersection coordinates
Calculation example - Find the coordinates of the intersection of two lines
Contents [show]
Calculate the coordinates of the intersection of two lines given the coordinates of four stations.
Known values:
Coordinates A (EA, NA), B (EB, NB), C (EC, NC), D (ED, ND)
i.e.
A E 250 N 530
B E 510 N 1130
C E 1390 N 1180
D E 1760 N 150
Solution: Coordinates of intersection point X (EX, NX)
The equation of line AC:
i.e.
thus
Similarly, the equation of line BD:
i.e.
thus
Subtracting (1) from (2),
Substituting in equation (1),
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