diff --git a/database/DBtiles.c b/database/DBtiles.c
index 841c7bac..c68610a1 100644
--- a/database/DBtiles.c
+++ b/database/DBtiles.c
@@ -657,7 +657,7 @@ DBResetTilePlane(plane, cdata)
     ClientData cdata;
 {
     Tile *tp, *tpnew;
-    Rect *rect = &TiPlaneRect;
+    const Rect *rect = &TiPlaneRect;
 
     /* Start with the leftmost non-infinity tile in the plane */
     tp = TR(plane->pl_left);
@@ -735,7 +735,7 @@ DBFreePaintPlane(plane)
     Plane *plane;	/* Plane whose storage is to be freed */
 {
     Tile *tp, *tpnew;
-    Rect *rect = &TiPlaneRect;
+    const Rect *rect = &TiPlaneRect;
 
     /* Start with the bottom-right non-infinity tile in the plane */
     tp = BL(plane->pl_right);
diff --git a/extract/ExtCouple.c b/extract/ExtCouple.c
index e2e9acf9..6f8d847f 100644
--- a/extract/ExtCouple.c
+++ b/extract/ExtCouple.c
@@ -170,7 +170,7 @@ extFindCoupling(def, table, clipArea)
     HashTable *table;
     Rect *clipArea;
 {
-    Rect *searchArea;
+    const Rect *searchArea;
     int pNum;
     extCapStruct ecs;