diff --git a/tests/test_line_overflow.py b/tests/test_line_overflow.py
new file mode 100644
index 0000000..346bed1
--- /dev/null
+++ b/tests/test_line_overflow.py
@@ -0,0 +1,174 @@
+"""
+Test for line overflow behavior in pyWebLayout/concrete/text.py
+
+This test demonstrates how line overflow is triggered when words cannot fit
+in progressively shorter lines. Uses a simple sentence with non-hyphenatable words.
+"""
+
+import unittest
+import numpy as np
+from PIL import ImageFont
+from pyWebLayout.concrete.text import Line, Text
+from pyWebLayout.style import Font, FontStyle, FontWeight
+from pyWebLayout.style.layout import Alignment
+
+
+class TestLineOverflow(unittest.TestCase):
+    """Test line overflow behavior with progressively shorter lines."""
+    
+    def setUp(self):
+        """Set up test fixtures with a basic font and simple sentence."""
+        # Create a simple font for testing
+        self.font = Font()
+        
+        # Simple sentence with short, non-hyphenatable words
+        self.simple_words = ["cat", "dog", "pig", "rat", "ox", "bee", "fly", "ant"]
+    
+    def test_line_overflow_progression(self):
+        """Test that line overflow is triggered as line width decreases."""
+        # Start with a reasonably wide line that can fit all words
+        initial_width = 800
+        line_height = 50
+        spacing = (5, 20)  # min_spacing, max_spacing
+        
+        # Test results storage
+        results = []
+        
+        # Test with progressively shorter lines
+        for width in range(initial_width, 50, -50):  # Decrease by 50px each time
+            # Create a new line with current width
+            origin = np.array([0, 0])
+            size = (width, line_height)
+            line = Line(spacing, origin, size, self.font, halign=Alignment.LEFT)
+            
+            # Try to add words until overflow occurs
+            words_added = []
+            overflow_word = None
+            
+            for word in self.simple_words:
+                result = line.add_word(word, self.font)
+                if result is None:
+                    # Word fit in line
+                    words_added.append(word)
+                else:
+                    # Overflow occurred
+                    overflow_word = word
+                    break
+            
+            # Record the test result
+            test_result = {
+                'width': width,
+                'words_added': words_added.copy(),
+                'overflow_word': overflow_word,
+                'total_words_fit': len(words_added)
+            }
+            results.append(test_result)
+            
+            # Print progress for visibility
+            print(f"Width {width}px: Fit {len(words_added)} words: {' '.join(words_added)}")
+            if overflow_word:
+                print(f"  -> Overflow on word: '{overflow_word}'")
+        
+        # Assertions to verify expected behavior
+        self.assertTrue(len(results) > 0, "Should have test results")
+        
+        # First (widest) line should fit more words than later lines
+        first_result = results[0]
+        last_result = results[-1]
+        
+        self.assertGreaterEqual(
+            first_result['total_words_fit'], 
+            last_result['total_words_fit'],
+            "Wider lines should fit at least as many words as narrower lines"
+        )
+        
+        # At some point, overflow should occur (not all words fit)
+        overflow_occurred = any(r['overflow_word'] is not None for r in results)
+        self.assertTrue(overflow_occurred, "Line overflow should occur with narrow lines")
+        
+        # Very narrow lines should fit fewer words
+        narrow_results = [r for r in results if r['width'] < 200]
+        if narrow_results:
+            # At least one narrow line should have triggered overflow
+            narrow_overflow = any(r['overflow_word'] is not None for r in narrow_results)
+            self.assertTrue(narrow_overflow, "Narrow lines should trigger overflow")
+    
+    def test_single_word_overflow(self):
+        """Test overflow behavior when even a single word doesn't fit."""
+        # Create a very narrow line
+        narrow_width = 30
+        line_height = 50
+        spacing = (5, 20)
+        
+        origin = np.array([0, 0])
+        size = (narrow_width, line_height)
+        line = Line(spacing, origin, size, self.font, halign=Alignment.LEFT)
+        
+        # Try to add a word that likely won't fit
+        test_word = "elephant"  # Longer word that should overflow
+        result = line.add_word(test_word, self.font)
+        
+        # The implementation may partially fit the word and return the remaining part
+
+        # Some overflow occurred - either full word or remaining part
+        self.assertIsInstance(result, str, "Should return remaining text as string")
+        self.assertGreater(len(result), 0, "Remaining text should not be empty")
+        
+        # Check that some part was fitted
+        self.assertGreater(len(line.text_objects), 0, "Should have fitted at least some characters")
+        
+        # The fitted part + remaining part should equal the original word
+        fitted_text = line.text_objects[0].text if line.text_objects else ""
+        self.assertEqual(fitted_text + result, test_word, 
+                        f"Fitted part '{fitted_text}' + remaining '{result}' should equal '{test_word}'")
+        
+        print(f"Word '{test_word}' partially fit: '{fitted_text}' fitted, '{result}' remaining")
+
+    
+    def test_empty_line_behavior(self):
+        """Test behavior when adding words to an empty line."""
+        width = 300
+        line_height = 50
+        spacing = (5, 20)
+        
+        origin = np.array([0, 0])
+        size = (width, line_height)
+        line = Line(spacing, origin, size, self.font, halign=Alignment.LEFT)
+        
+        # Initially empty
+        self.assertEqual(len(line.text_objects), 0, "Line should start empty")
+        
+        # Add first word
+        result = line.add_word("cat", self.font)
+        self.assertIsNone(result, "First word should fit in reasonable width")
+        self.assertEqual(len(line.text_objects), 1, "Should have one text object")
+        self.assertEqual(line.text_objects[0].text, "cat", "Text should match added word")
+    
+    def test_progressive_overflow_demonstration(self):
+        """Demonstrate the exact point where overflow begins."""
+        # Use a specific set of short words
+        words = ["a", "bb", "ccc", "dd", "e"]
+        
+        # Start wide and narrow down until we find the overflow point
+        for width in range(200, 10, -10):
+            origin = np.array([0, 0])
+            size = (width, 50)
+            line = Line((3, 15), origin, size, self.font, halign=Alignment.LEFT)
+            
+            words_that_fit = []
+            for word in words:
+                result = line.add_word(word, self.font)
+                if result is None:
+                    words_that_fit.append(word)
+                else:
+                    # This is where overflow started
+                    print(f"Overflow at width {width}px: '{' '.join(words_that_fit)}' + '{word}' (overflow)")
+                    self.assertGreater(len(words_that_fit), 0, "Should fit at least some words before overflow")
+                    return  # Test successful
+        
+        # If we get here, no overflow occurred even at minimum width
+        print("No overflow occurred - all words fit even in narrowest line")
+
+
+if __name__ == '__main__':
+    unittest.main(verbosity=2)