diff --git a/crates/fj-core/src/algorithms/approx/curve.rs b/crates/fj-core/src/algorithms/approx/curve.rs
index d14ea7a5c..fcd2dc82b 100644
--- a/crates/fj-core/src/algorithms/approx/curve.rs
+++ b/crates/fj-core/src/algorithms/approx/curve.rs
@@ -183,7 +183,7 @@ mod tests {
     use crate::{
         algorithms::approx::{Approx, ApproxPoint},
         geometry::{CurveBoundary, GlobalPath, HalfEdgeGeom, SurfacePath},
-        operations::{build::BuildSurface, insert::Insert},
+        operations::build::{BuildCurve, BuildSurface},
         topology::{Curve, Surface},
         Core,
     };
@@ -195,7 +195,8 @@ mod tests {
         let surface = core.layers.topology.surfaces.xz_plane();
         let (path, boundary) =
             SurfacePath::line_from_points([[1., 1.], [2., 1.]]);
-        let curve = Curve::new().insert(&mut core);
+        let curve =
+            Curve::from_path_and_surface(path, surface.clone(), &mut core);
         let boundary = CurveBoundary::from(boundary);
         let half_edge = HalfEdgeGeom { path, boundary };
 
@@ -217,7 +218,8 @@ mod tests {
         );
         let (path, boundary) =
             SurfacePath::line_from_points([[1., 1.], [2., 1.]]);
-        let curve = Curve::new().insert(&mut core);
+        let curve =
+            Curve::from_path_and_surface(path, surface.clone(), &mut core);
         let boundary = CurveBoundary::from(boundary);
         let half_edge = HalfEdgeGeom { path, boundary };
 
@@ -238,7 +240,8 @@ mod tests {
             ([0.], [0., 1.]),
             ([TAU], [TAU, 1.]),
         ]);
-        let curve = Curve::new().insert(&mut core);
+        let curve =
+            Curve::from_path_and_surface(path, surface.clone(), &mut core);
         let boundary = CurveBoundary::from([[0.], [TAU]]);
         let half_edge = HalfEdgeGeom { path, boundary };
 
@@ -268,7 +271,8 @@ mod tests {
 
         let surface = core.layers.topology.surfaces.xz_plane();
         let path = SurfacePath::circle_from_center_and_radius([0., 0.], 1.);
-        let curve = Curve::new().insert(&mut core);
+        let curve =
+            Curve::from_path_and_surface(path, surface.clone(), &mut core);
         let boundary = CurveBoundary::from([[0.], [TAU]]);
         let half_edge = HalfEdgeGeom { path, boundary };
 
diff --git a/crates/fj-core/src/geometry/curve.rs b/crates/fj-core/src/geometry/curve.rs
index a85d43329..392ef64cc 100644
--- a/crates/fj-core/src/geometry/curve.rs
+++ b/crates/fj-core/src/geometry/curve.rs
@@ -25,6 +25,18 @@ pub struct CurveGeom {
     pub definitions: Vec<LocalCurveGeom>,
 }
 
+impl CurveGeom {
+    /// Create a new instance of `CurveGeom` from a path and a surface
+    pub fn from_path_and_surface(
+        path: SurfacePath,
+        surface: Handle<Surface>,
+    ) -> Self {
+        Self {
+            definitions: vec![LocalCurveGeom { path, surface }],
+        }
+    }
+}
+
 /// The geometric definition of a curve in 2D surface coordinates
 #[derive(Clone)]
 pub struct LocalCurveGeom {
diff --git a/crates/fj-core/src/operations/build/curve.rs b/crates/fj-core/src/operations/build/curve.rs
new file mode 100644
index 000000000..4623fa43b
--- /dev/null
+++ b/crates/fj-core/src/operations/build/curve.rs
@@ -0,0 +1,32 @@
+use crate::{
+    geometry::{CurveGeom, SurfacePath},
+    operations::insert::Insert,
+    storage::Handle,
+    topology::{Curve, Surface},
+    Core,
+};
+
+/// Build a [`Curve`]
+///
+/// See [module-level documentation] for context.
+///
+/// [module-level documentation]: super
+pub trait BuildCurve {
+    /// Build a curve from the provided path and surface
+    fn from_path_and_surface(
+        path: SurfacePath,
+        surface: Handle<Surface>,
+        core: &mut Core,
+    ) -> Handle<Curve> {
+        let curve = Curve::new().insert(core);
+
+        core.layers.geometry.define_curve(
+            curve.clone(),
+            CurveGeom::from_path_and_surface(path, surface),
+        );
+
+        curve
+    }
+}
+
+impl BuildCurve for Curve {}
diff --git a/crates/fj-core/src/operations/build/mod.rs b/crates/fj-core/src/operations/build/mod.rs
index 4f6a5b503..a992276f9 100644
--- a/crates/fj-core/src/operations/build/mod.rs
+++ b/crates/fj-core/src/operations/build/mod.rs
@@ -17,6 +17,7 @@
 //! the top-level object itself, but also to the other objects that make up its
 //! components.
 
+mod curve;
 mod cycle;
 mod face;
 mod half_edge;
@@ -27,6 +28,7 @@ mod solid;
 mod surface;
 
 pub use self::{
+    curve::BuildCurve,
     cycle::BuildCycle,
     face::{BuildFace, Polygon},
     half_edge::BuildHalfEdge,