diff --git a/src/point.rs b/src/point.rs
index 583e43d..59c9a56 100644
--- a/src/point.rs
+++ b/src/point.rs
@@ -222,9 +222,15 @@ macro_rules! impl_point {
         impl_operator!(<S: BaseNum> Add<$VectorN<S> > for $PointN<S> {
             fn add(lhs, rhs) -> $PointN<S> { $PointN::new($(lhs.$field + rhs.$field),+) }
         });
+        impl_operator!(<S: BaseNum> Sub<$VectorN<S>> for $PointN<S> {
+            fn sub(lhs, rhs) -> $PointN<S> { $PointN::new($(lhs.$field - rhs.$field),+) }
+        });
         impl_assignment_operator!(<S: BaseNum> AddAssign<$VectorN<S> > for $PointN<S> {
             fn add_assign(&mut self, vector) { $(self.$field += vector.$field);+ }
         });
+        impl_assignment_operator!(<S: BaseNum> SubAssign<$VectorN<S>> for $PointN<S> {
+            fn sub_assign(&mut self, vector) { $(self.$field -= vector.$field);+ }
+        });
 
         impl_operator!(<S: BaseNum> Sub<$PointN<S> > for $PointN<S> {
             fn sub(lhs, rhs) -> $VectorN<S> { $VectorN::new($(lhs.$field - rhs.$field),+) }
diff --git a/src/structure.rs b/src/structure.rs
index 540cd82..07d8099 100644
--- a/src/structure.rs
+++ b/src/structure.rs
@@ -319,6 +319,7 @@ pub trait EuclideanSpace: Copy + Clone where
     Self: Array<Element = <Self as EuclideanSpace>::Scalar>,
 
     Self: Add<<Self as EuclideanSpace>::Diff, Output = Self>,
+    Self: Sub<<Self as EuclideanSpace>::Diff, Output = Self>,
     Self: Sub<Self, Output = <Self as EuclideanSpace>::Diff>,
 
     Self: Mul<<Self as EuclideanSpace>::Scalar, Output = Self>,