diff --git a/libs/math/plane.h b/libs/math/plane.h
index b066014e..49b016bc 100644
--- a/libs/math/plane.h
+++ b/libs/math/plane.h
@@ -75,15 +75,9 @@ inline Plane3 plane3_normalised( const Plane3& plane ){
 	       );
 }
 
-inline Plane3 plane3_translated( const Plane3& plane, const Vector3& translation ){
-	Plane3 transformed;
-	transformed.a = plane.a;
-	transformed.b = plane.b;
-	transformed.c = plane.c;
-	transformed.d = -( ( -plane.d * transformed.a + translation.x() ) * transformed.a +
-	                   ( -plane.d * transformed.b + translation.y() ) * transformed.b +
-	                   ( -plane.d * transformed.c + translation.z() ) * transformed.c );
-	return transformed;
+template<typename T>
+Plane3 plane3_translated( const Plane3& plane, const BasicVector3<T>& translation ){
+	return Plane3( plane.normal(), vector3_dot( plane.normal(), plane.normal() * plane.dist() + translation ) );
 }
 
 inline Plane3 plane3_transformed( const Plane3& plane, const Matrix4& transform ){
diff --git a/radiant/brush.h b/radiant/brush.h
index 5fcaaaae..f44262de 100644
--- a/radiant/brush.h
+++ b/radiant/brush.h
@@ -606,8 +606,7 @@ inline void planepts_print( const PlanePoints& planePoints, TextOutputStream& os
 
 
 inline Plane3 Plane3_applyTranslation( const Plane3& plane, const Vector3& translation ){
-	Plane3 tmp( plane3_translated( Plane3( plane.normal(), -plane.dist() ), translation ) );
-	return Plane3( tmp.normal(), -tmp.dist() );
+	return plane3_translated( plane, translation );
 }
 
 inline Plane3 Plane3_applyTransform( const Plane3& plane, const Matrix4& matrix ){
@@ -732,11 +731,11 @@ public:
 	}
 	void offset( float offset ){
 		if ( !isDoom3Plane() ) {
-			Vector3 move( vector3_scaled( m_planeCached.normal(), -offset ) );
+			const DoubleVector3 move( m_planeCached.normal() * offset );
 
-			vector3_subtract( m_planepts[0], move );
-			vector3_subtract( m_planepts[1], move );
-			vector3_subtract( m_planepts[2], move );
+			m_planepts[0] += move;
+			m_planepts[1] += move;
+			m_planepts[2] += move;
 
 			MakePlane();
 		}
diff --git a/radiant/camwindow.cpp b/radiant/camwindow.cpp
index e58daf90..2f0251e5 100644
--- a/radiant/camwindow.cpp
+++ b/radiant/camwindow.cpp
@@ -2169,10 +2169,10 @@ Vector3 Camera_getFocusPos( camera_t& camera ){
 #endif
 
 	const Plane3 frustumPlanes[4] = {
-		plane3_translated( view.getFrustum().left,   camorigin - aabb.origin ),
-		plane3_translated( view.getFrustum().right,  camorigin - aabb.origin ),
-		plane3_translated( view.getFrustum().top,    camorigin - aabb.origin ),
-		plane3_translated( view.getFrustum().bottom, camorigin - aabb.origin ),
+		plane3_translated( view.getFrustum().left,   aabb.origin - camorigin ),
+		plane3_translated( view.getFrustum().right,  aabb.origin - camorigin ),
+		plane3_translated( view.getFrustum().top,    aabb.origin - camorigin ),
+		plane3_translated( view.getFrustum().bottom, aabb.origin - camorigin ),
 	};
 	float offset = 64.0f;