diff --git a/crates/fj-kernel/src/algorithms/validate/coherence.rs b/crates/fj-kernel/src/algorithms/validate/coherence.rs
index b227a6760..d3f679b8f 100644
--- a/crates/fj-kernel/src/algorithms/validate/coherence.rs
+++ b/crates/fj-kernel/src/algorithms/validate/coherence.rs
@@ -2,7 +2,38 @@ use std::fmt;
 
 use fj_math::{Point, Scalar};
 
-use crate::objects::Vertex;
+use crate::objects::{Curve, Vertex};
+
+pub fn validate_curve(
+    curve: &Curve,
+    max_distance: impl Into<Scalar>,
+) -> Result<(), CoherenceIssues> {
+    let max_distance = max_distance.into();
+
+    let points_curve = [-2., -1., 0., 1., 2.].map(|point| Point::from([point]));
+
+    for point_curve in points_curve {
+        let point_surface = curve.kind().point_from_curve_coords(point_curve);
+        let point_surface_as_global =
+            curve.surface().point_from_surface_coords(point_surface);
+        let point_global =
+            curve.global().kind().point_from_curve_coords(point_curve);
+
+        let distance = (point_surface_as_global - point_global).magnitude();
+
+        if distance > max_distance {
+            Err(CurveCoherenceMismatch {
+                point_curve,
+                point_surface,
+                point_surface_as_global,
+                point_global,
+                curve: *curve,
+            })?
+        }
+    }
+
+    Ok(())
+}
 
 pub fn validate_vertex(
     vertex: &Vertex,
@@ -35,13 +66,49 @@ pub fn validate_vertex(
 }
 
 /// Issues in coherence validation
+#[allow(clippy::large_enum_variant)]
 #[derive(Debug, thiserror::Error)]
 pub enum CoherenceIssues {
+    /// Mismatch between the surface and global forms of a curve
+    #[error("Mismatch between surface and global forms of curve")]
+    Curve(#[from] CurveCoherenceMismatch),
+
     /// Mismatch between the local and global coordinates of a vertex
     #[error("Mismatch between local and global coordinates of vertex")]
     Vertex(#[from] VertexCoherenceMismatch),
 }
 
+/// A mismatch between the surface and global forms of a curve
+///
+/// Used in [`CoherenceIssues`].
+#[derive(Debug, thiserror::Error)]
+pub struct CurveCoherenceMismatch {
+    /// The curve coordinate for which a mismatch was found
+    pub point_curve: Point<1>,
+
+    /// The curve coordinate, converted to surface coordinates
+    pub point_surface: Point<2>,
+
+    /// The surface coordinates, converted to global coordinates
+    pub point_surface_as_global: Point<3>,
+
+    /// The curve coordinate, converted to global coordinates
+    pub point_global: Point<3>,
+
+    /// The incoherent curve
+    pub curve: Curve,
+}
+
+impl fmt::Display for CurveCoherenceMismatch {
+    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
+        write!(
+            f,
+            "local: {:?} (converted to surface: {:?}; to global: {:?}), global: {:?},",
+            self.point_curve, self.point_surface, self.point_surface_as_global, self.point_global,
+        )
+    }
+}
+
 /// A mismatch between the local and global forms of a vertex
 ///
 /// Used in [`CoherenceIssues`].
diff --git a/crates/fj-kernel/src/algorithms/validate/mod.rs b/crates/fj-kernel/src/algorithms/validate/mod.rs
index c9fc651c2..e670d6cd0 100644
--- a/crates/fj-kernel/src/algorithms/validate/mod.rs
+++ b/crates/fj-kernel/src/algorithms/validate/mod.rs
@@ -63,6 +63,10 @@ where
     ) -> Result<Validated<Self>, ValidationError> {
         let mut global_vertices = HashSet::new();
 
+        for curve in self.curve_iter() {
+            coherence::validate_curve(curve, config.identical_max_distance)?;
+        }
+
         for global_vertex in self.global_vertex_iter() {
             uniqueness::validate_vertex(
                 global_vertex,
@@ -152,7 +156,7 @@ pub enum ValidationError {
 
 #[cfg(test)]
 mod tests {
-    use fj_math::{Point, Scalar};
+    use fj_math::{Line, Point, Scalar};
 
     use crate::{
         algorithms::validate::{Validate, ValidationConfig, ValidationError},
@@ -162,6 +166,22 @@ mod tests {
         },
     };
 
+    #[test]
+    fn coherence_curve() {
+        let line_global = Line::from_points([[0., 0., 0.], [1., 0., 0.]]);
+        let global_curve = GlobalCurve::from_kind(CurveKind::Line(line_global));
+
+        let line_surface = Line::from_points([[0., 0.], [2., 0.]]);
+        let curve = Curve::new(
+            Surface::xy_plane(),
+            CurveKind::Line(line_surface),
+            global_curve,
+        );
+
+        let result = curve.validate();
+        assert!(result.is_err());
+    }
+
     #[test]
     fn coherence_edge() {
         let a = Point::from([0., 0., 0.]);