Volume 1: Preface; Part I. The Controversy: 1. The controversy; 2. The subjects proposed, and method of treating it; Part II. On the Authority of Polybius: 1. His journey through the Alps; 2. Strictures of Dr Ukert; 3. The Polybian map of M. Gosselin; 4. On the stade of Polybius, and his distances; Part III. Polybius Interpreted: Passage of the Rhone: 1. Introduction; 2. Passage of the Rhone near Roquemaure; 3. Theory of Tarascon; 4. Tarascon theory; Part IV. Polybius Interpreted: The Beginning of Alps: 1. The march of 1,400 stadia; 2. The Mont du Chat fulfils all the requisites of Polybius; 3. Adverse theories on the beginning of Alps; 4. Theories of tracks south of Isère; Part V. The Mountain March: Ascent: 1. Some theories are not worked out beyond their first Alps; 2. Ascent to the Little St Bernard; 3. Ascent to the Mont Cenis; 4. Ascent to the Little Mont Cenis; Part VI. The Mountain March: Summit: 1. Hannibal encamps on the summit for two days; 2. No practicable summit gives a view of Italy; Part VII. The Mountain March: Descent: 1. Descent from the Little St Bernard; 2. Hannibal came down boldly into the plain of the Po; 3. On the time employed in descent; 4. On passes between Little St Bernard and the Cenis. Volume 2: Part VIII. Knowledge of the Alps in Early Times: 1. Strabo on the Alps; 2. The Salassian hyperbasis of Strabo; 3. The Taurinian hyperbasis of Strabo; 4. Polybius knew no Taurinian hyperbasis; 5. The Po and the Doria of Strabo; 6. The Po and the Doria of Strabo (cont.); 7. Mr Ellis on the early use of the Little Mont Cenis; 8. Mr Ellis on the Little Mont Cenis; 9. Mr Ellis on the Mont Cenis; Part IX. Interpretation of Livy: 1 Introduction; 2. March from the Isère; 3. The march continued; 4. Druentia is the Durance; 5. Identity of tracks is disproved; Part X. Two Peculiar Theories: 1. Theory of M. le Comte de Fortia d'Urban; 2. Of M. Replat; Part XI. Conciliation Fails: 1. We must select between the two historians; 2. Livy founds his hypothesis on the words of Cincius; 3. No writer prior to Livy favours his hypothesis; Part XII. Cause of Doubt: 1. Doubt has come through neglect of Polybius; 2. Arnold recognised the truth; Appendix.