diff --git a/crates/fj-kernel/src/builder/curve.rs b/crates/fj-kernel/src/builder/curve.rs
index f9e5f3c50..dc35072ca 100644
--- a/crates/fj-kernel/src/builder/curve.rs
+++ b/crates/fj-kernel/src/builder/curve.rs
@@ -1,25 +1,9 @@
-use fj_math::Point;
-
-use crate::{geometry::path::SurfacePath, partial::PartialCurve};
+use crate::partial::PartialCurve;
 
 /// Builder API for [`PartialCurve`]
 pub trait CurveBuilder {
-    /// Update partial curve to be a line, from provided points and line coords
-    ///
-    /// Returns the updated path.
-    fn update_as_line_from_points_with_line_coords(
-        &mut self,
-        points: [(impl Into<Point<1>>, impl Into<Point<2>>); 2],
-    ) -> SurfacePath;
+    // No methods are currently defined. This trait serves as a placeholder, to
+    // make it clear where to add such methods, once necessary.
 }
 
-impl CurveBuilder for PartialCurve {
-    fn update_as_line_from_points_with_line_coords(
-        &mut self,
-        points: [(impl Into<Point<1>>, impl Into<Point<2>>); 2],
-    ) -> SurfacePath {
-        let path = SurfacePath::from_points_with_line_coords(points);
-        self.path = Some(path.into());
-        path
-    }
-}
+impl CurveBuilder for PartialCurve {}
diff --git a/crates/fj-kernel/src/builder/edge.rs b/crates/fj-kernel/src/builder/edge.rs
index 92f8d66a3..8812b6810 100644
--- a/crates/fj-kernel/src/builder/edge.rs
+++ b/crates/fj-kernel/src/builder/edge.rs
@@ -10,8 +10,6 @@ use crate::{
     partial::{MaybeSurfacePath, Partial, PartialGlobalEdge, PartialHalfEdge},
 };
 
-use super::CurveBuilder;
-
 /// Builder API for [`PartialHalfEdge`]
 pub trait HalfEdgeBuilder {
     /// Update partial half-edge to represent the u-axis of the surface it is on
@@ -174,12 +172,12 @@ impl HalfEdgeBuilder for PartialHalfEdge {
         });
 
         let path = if let [Some(start), Some(end)] = boundary {
-            let boundary = [start, end];
-            self.curve
-                .write()
-                .update_as_line_from_points_with_line_coords(
-                    boundary.zip_ext(points_surface),
-                )
+            let points = [start, end].zip_ext(points_surface);
+
+            let path = SurfacePath::from_points_with_line_coords(points);
+            self.curve.write().path = Some(path.into());
+
+            path
         } else {
             let (path, _) = SurfacePath::line_from_points(points_surface);
             self.curve.write().path = Some(path.into());