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PROFESSOR W. J. MACQUORN RANKINE ON THE 
SUMMARY OF THE CONTENTS. 
Introduction. 
§ 1. Object and Occasion of this Investigation. 
Chapter I. Summary of General Cinematical Principles. 
§ 2. Normal Surfaces to Stream-lines in a Liquid. 
§ 3. Stream-line Surfaces in general. 
§ 4. Graphic Construction of Stream-lines. 
§ 4 a. Empirical Rule as to the Volume enclosed by a Stream-line Surface. 
Chapter II. Summary of Principal Properties of previously known Special Classes of Stream-lines. 
§ 5. Stream-lines in two Dimensions, especially those with two Foci. 
§ 6. Stream-line Surfaces of Revolution. 
Chapter III. Special Theory of Quadrifocal Stream-lines, or Cycnogenous Neo'ids. 
§ 7. Quadrifocal Stream-lines in general. 
§ 8. Cylindric Cyeno'ids.— Forms and Velocities of Streams. 
§ 9. Cylindric Cyeno'ids. — Extreme Dimensions. 
§ 10. Cyeno'ids of Revolution. — Forms and Velocities of Streams. 
§ 11. Cyeno'ids of Revolution. — Extreme Dimensions. 
Chapter IV. Dynamical Propositions as to Stream-line Surfaces. 
§ 12. Resultant Momentum. 
§ 13. Energy of Current and of Disturbance. 
§ 14. Energy in an Elementary Stream. 
§ 15. Total Energy of Disturbance. 
§ 16. Disturbances of Pressure and Level. 
§ 17. Virtual Depth and Speed of Waves. 
§ 18. Probable Laws of Wave-resistance. 
§ 19. Remarks on Skin -resistance. 
§ 20. General Remarks. 
CONTENTS OF SUPPLEMENT. 
I. Addendum to § 16. — Points of no Disturbance of Pressure. Mr. Berthon’s Log. 
II. Addendum to § 17. — Interference of Waves. 
