diff --git a/lib/csv/table.rb b/lib/csv/table.rb
index fb19f54..6da30e6 100644
--- a/lib/csv/table.rb
+++ b/lib/csv/table.rb
@@ -240,7 +240,7 @@ def initialize(array_of_rows, headers: nil)
     #
     # Also note that changes to the duplicate table will not affect the original.
     def by_col
-      self.class.new(@table.dup).by_col!
+      self.class.new(@table.dup, headers: headers).by_col!
     end
 
     # :call-seq:
@@ -278,7 +278,7 @@ def by_col!
     #
     # Also note that changes to the duplicate table will not affect the original.
     def by_col_or_row
-      self.class.new(@table.dup).by_col_or_row!
+      self.class.new(@table.dup, headers: headers).by_col_or_row!
     end
 
     # :call-seq:
@@ -316,7 +316,7 @@ def by_col_or_row!
     #
     # Also note that changes to the duplicate table will not affect the original.
     def by_row
-      self.class.new(@table.dup).by_row!
+      self.class.new(@table.dup, headers: headers).by_row!
     end
 
     # :call-seq:
diff --git a/test/csv/test_table.rb b/test/csv/test_table.rb
index e8ab740..927f050 100644
--- a/test/csv/test_table.rb
+++ b/test/csv/test_table.rb
@@ -51,6 +51,13 @@ def test_modes
     assert_equal(:col_or_row, @table.mode)
   end
 
+  def test_copy_modes_preserve_header_only_table_headers
+    [:by_col, :by_row, :by_col_or_row].each do |mode|
+      copied = @header_only_table.public_send(mode)
+      assert_equal(%w[A B C], copied.headers, mode)
+    end
+  end
+
   def test_headers
     assert_equal(@rows.first.headers, @table.headers)
   end