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Calculation Example Intersection coordinates # Calculation example - Find the coordinates of the intersection of two lines

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**Calculate the coordinates of the intersection of two lines given the coordinates of four stations.**

**Known values:**

Coordinates *A (E _{A}, N_{A})*

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 (E _{X}, N_{X})*

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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