diff --git a/geometry.scad b/geometry.scad
index 52f03c2..280a4fd 100644
--- a/geometry.scad
+++ b/geometry.scad
@@ -1508,7 +1508,7 @@ function circle_point_tangents(r, d, cp, pt) =
         dist = norm(delta),
         baseang = atan2(delta.y,delta.x)
     ) dist < r? [] :
-    approx(dist,r)? [[baseang, pt]] :
+    approx(dist,r)? [pt] :
     let(
         relang = acos(r/dist),
         angs = [baseang + relang, baseang - relang]
diff --git a/tests/test_geometry.scad b/tests/test_geometry.scad
index 6dc8e02..fbcf4de 100644
--- a/tests/test_geometry.scad
+++ b/tests/test_geometry.scad
@@ -606,7 +606,10 @@ module test_circle_point_tangents() {
         [[0,0],  50, [50*sqrt(2),0],    [polar_to_xy(50,45), polar_to_xy(50,-45)]],
         [[5,10], 50, [5+50*sqrt(2),10], [[5,10]+polar_to_xy(50,45), [5,10]+polar_to_xy(50,-45)]],
         [[0,0],  50, [0,50*sqrt(2)],    [polar_to_xy(50,135), polar_to_xy(50,45)]],
-        [[5,10], 50, [5,10+50*sqrt(2)], [[5,10]+polar_to_xy(50,135), [5,10]+polar_to_xy(50,45)]]
+        [[5,10], 50, [5,10+50*sqrt(2)], [[5,10]+polar_to_xy(50,135), [5,10]+polar_to_xy(50,45)]],
+        [[5,10], 50, [5,10+50*sqrt(2)], [[5,10]+polar_to_xy(50,135), [5,10]+polar_to_xy(50,45)]],
+        [[5,10], 50, [5, 60],           [[5, 60]]],
+        [[5,10], 50, [5, 59],           []],
     ];
     for (v = testvals) {
         cp = v[0]; r  = v[1]; pt = v[2]; expect = v[3];