diff --git a/modify.cpp b/modify.cpp
index 38c9adf..31cf881 100644
--- a/modify.cpp
+++ b/modify.cpp
@@ -608,9 +608,20 @@ void GraphicsWindow::SplitLinesOrCurves(void) {
     ZERO(&inters);
     sbla.AllIntersectionsWith(&sblb, &inters);
 
-    // If there's multiple points, then just take the first one.
     if(inters.l.n > 0) {
-        Vector pi = inters.l.elem[0].p;
+        Vector pi;
+        // If there's multiple points, then take the one closest to the
+        // mouse pointer.
+        double dmin = VERY_POSITIVE;
+        SPoint *sp;
+        for(sp = inters.l.First(); sp; sp = inters.l.NextAfter(sp)) {
+            double d = ProjectPoint(sp->p).DistanceTo(currentMousePosition);
+            if(d < dmin) {
+                dmin = d;
+                pi = sp->p;
+            }
+        }
+
         SS.UndoRemember();
         hEntity hia = SplitEntity(ha, pi),
                 hib = SplitEntity(hb, pi);
diff --git a/mouse.cpp b/mouse.cpp
index b49f31a..4ff1a44 100644
--- a/mouse.cpp
+++ b/mouse.cpp
@@ -108,6 +108,7 @@ void GraphicsWindow::MouseMoved(double x, double y, bool leftDown,
     }
 
     Point2d mp = Point2d::From(x, y);
+    currentMousePosition = mp;
 
     if(rightDown && orig.mouse.DistanceTo(mp) < 5 && !orig.startedMoving) {
         // Avoid accidentally panning (or rotating if shift is down) if the
diff --git a/ui.h b/ui.h
index ffa1f1b..65c95bc 100644
--- a/ui.h
+++ b/ui.h
@@ -420,6 +420,9 @@ public:
         bool    startedMoving;
     }       orig;
 
+    // Most recent mouse position, updated every time the mouse moves.
+    Point2d currentMousePosition;
+
     // When the user is dragging a point, don't solve multiple times without
     // allowing a paint in between. The extra solves are wasted if they're
     // not displayed.
diff --git a/wishlist.txt b/wishlist.txt
index 3c59e8d..bf89f1b 100644
--- a/wishlist.txt
+++ b/wishlist.txt
@@ -4,7 +4,6 @@ crude DXF, HPGL import
 a request to import a plane thing
 make export assemble only contours in same group
 make export rewrite fill color same as stroke color
-choose split point closest to mouse pointer
 
 -----
 rounding, as a special group