Fixing typos in routers.md

docs/api-guide/routers.md

@@ -38,7 +38,7 @@ The example above would generate the following URL patterns:
 ### Extra link and actions
 
 Any methods on the viewset decorated with `@link` or `@action` will also be routed.
-For example, a given method like this on the `UserViewSet` class:
+For example, given a method like this on the `UserViewSet` class:
 
     @action(permission_classes=[IsAdminOrIsSelf])
     def set_password(self, request, pk=None):
@@ -66,7 +66,7 @@ This router includes routes for the standard set of `list`, `create`, `retrieve`
     <tr><td>POST</td><td>@action decorated method</td></tr>
 </table>
 
-By default the URLs created by `SimpleRouter` are appending with a trailing slash.
+By default the URLs created by `SimpleRouter` are appended with a trailing slash.
 This behavior can be modified by setting the `trailing_slash` argument to `False` when instantiating the router.  For example:
 
     router = SimpleRouter(trailing_slash=False)
@@ -90,7 +90,7 @@ This router is similar to `SimpleRouter` as above, but additionally includes a d
     <tr><td>POST</td><td>@action decorated method</td></tr>
 </table>
 
-As with `SimpleRouter` the trailing slashs on the URL routes can be removed by setting the `trailing_slash` argument to `False` when instantiating the router.
+As with `SimpleRouter` the trailing slashes on the URL routes can be removed by setting the `trailing_slash` argument to `False` when instantiating the router.
 
     router = DefaultRouter(trailing_slash=False)
 
@@ -139,7 +139,7 @@ The `SimpleRouter` class provides another example of setting the `.routes` attri
 
 ## Advanced custom routers
 
-If you want to provide totally custom behavior, you can override `BaseRouter` and override the `get_urls(self)` method.  The method should insect the registered viewsets and return a list of URL patterns.  The registered prefix, viewset and basename tuples may be inspected by accessing the `self.registry` attribute.  
+If you want to provide totally custom behavior, you can override `BaseRouter` and override the `get_urls(self)` method.  The method should inspect the registered viewsets and return a list of URL patterns.  The registered prefix, viewset and basename tuples may be inspected by accessing the `self.registry` attribute.  
 
 You may also want to override the `get_default_base_name(self, viewset)` method, or else always explicitly set the `base_name` argument when registering your viewsets with the router.