CONTENTS. 



Part I. Statics. 

 Chapter I. System of Units. 



Paqb. 



i. Meter-Ton-Second System, 3 



2. Simplest Derived Units, 3 



3. Units Used in Dynamics of Continuous Media 5 



4. Units of Gravity Potential, 6 



5. Units of Pressure, 7 



Chapter II. Gravity and Gravity Potential. 



6. Gravity, 9 



7. Normal Decrease of Gravity in the Atmosphere, 9 



8. Reduction to Sea-Level and Normal Value of Gravity at Sea-Level, ... 10 



9. Normal Increase of Gravity in the Sea 11 



10. Level Surfaces and Dynamic Height or Depth, 13 



11. Fundamental Formula for the Gravity Potential, 14 



12. Normal Relation between Geometric and Dynamic Heights 14 



13. Normal Relation between Geometric and Dynamic Depths, 16 



14. Gravity Potential of Points at the Earth's Surface 17 



15. Maps of Dynamic Topography, 18 



16. Scalar Field, 19 



17. Gradient and Ascendant, 20 



18. The Gravitational Field of Force, 22 



Chapter III. Sp. Vol. and Density of Atmospheric Air and Sea-Water. 



19. Distribution of Mass, 25 



20. Equation of State of the Atmospheric Air, 25 



21. Virtual Temperature, 26 



22. Tables for the Virtual-Temperature Correction 26 



23. Virtual-Temperature Diagrams, 28 



24. Virtual-Temperature as a Function of the Height, 29 



25. Specific Volume and Density of the Air, 29 



26. Investigations of the Physical Properties of Sea- Water, 30 



27. Tables for the Specific Volume of Sea- Water 32 



28. Control of the Accuracy of the Tables, 35 



29. Tables of the Density of Sea- Water, 36 



30. Important Features of Specific Volume or Density of Sea- Water, ... 38 



31. Isosteric and Isopycnic Surfaces, 39 



Chapter IV. Principles of Hydrostatics. 



32. Pressure, Isobaric Surfaces, and Gradient, 41 



33. Dynamic Significance of the Pressure Gradient, 41 



34. Condition of Equilibrium in Terms of Forces per Unit-Mass 42 



35. Equilibrium Relation between Fields of Potential, Pressure, and Sp. Vol., . 43 



36. Determination of Heights or Depths of Given Pressures 44 



37. Condition of Equilibrium in Terms of Forces per Unit- Volume, .... 46 



38. Equilibrium Relation between the Fields of Potential, Pressure, and Density, 46 



39. Determination of the Pressures at Given Heights or Depths, 47 



40. Integral Forms of the Equation of Equilibrium, 47 



Chapter V. Ideal States of Equilibrium in the Atmosphere. 



41. Analytical Integration of the Equation of Atmospheric Equilibrium, . . 49 



42. Atmosphere with Constant-Temperature Gradient, 50 



43. Limit of the Atmosphere in Case of Constant-Temperature Gradient, . . 51 



44. States of Unstable Equilibrium, 51 



45. Indifferent or Adiabatic Equilibrium 53 



46. States of Stable Equilibrium, 54 



47. Numerical Representation of the States of Equilibrium, 55 



48. Graphical Representation of the States of Equilibrium, 58 



iii 



