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Since MappaGnosis has already given a QGIS solution from the sounds of it, here's an ArcGIS solution. Use the Select by Location tool. Select features from (target) parcels that intersect rivers (source). Open the attribute table of parcels, and at the bottom click the 'show only selected records' button. Right click on the area field heading and choose ...


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Use Vector->Spatial Query. You will see that you can select the features of one layer based on their spatial relationship to features in another layer and one of the options is Touches. Once you have your selection of parcels, you can then find their area.


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(1) Your plot shows the points as small circles. In the computation, they are considered as real, zero-area points, and the lines are considered as zero-width lines. If the plot suggests they intersect, this may be because the lines have a certain width and points a certain area, but that their mathematical representations do not intersect. You could compute ...


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Others users might be interested to know that I managed to solve this. In order to extend the lines outside of the polygon (problem a): # Save centre point co-ordinates separately A.x <- Centre@coords[1] A.y <- Centre@coords[2] Using the great answer posted here: http://stackoverflow.com/a/7741655/4312169 I applied the code: # Generate points ...



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