x SCIENCE IN GRECO-ROMAN ANTIQUITY 



PART II. PRINCIPLES AND METHODS 



Chap. I. The Mathematical Sciences . . . 113 



1. The Purpose and Scope of Greek Mathematics 113 



2. Arithmetic and Algebra . . . .120 



3. The Irrational \/2. The arguments of Zeno 



of Elea. Proportions and the Method of 

 Exhaustion. Integral Calculus . . 127 



4. Geometrical Algebra . . . . .136 



5. The Elements of Euclid. Methods of Demon- 



stration. Axioms and Postulates 



Chap. II. Astronomy ..... 



1. Meteorological Ideas .... 



2. Physical Hypotheses 



3. Mathematical Hypotheses 



Chap. III. Mechanics and Physics 



1. Technical Inventions and Physical Concepts 



2. Aristotelian Dynamics .... 



3. Archimedes and Statics .... 



4. Later Developments .... 



Chap. IV. The Chemical and Natural Sciences 



1. Chemistry ...... 



2. The Medical and Natural Sciences . 



Conclusion ....... 



Bibliography ....... 



List of the Principal Works mentioned 

 Index 



150 



161 



162 

 164 

 170 



178 

 179 



183 

 192 



199 



203 



203 

 210 



216 



229 



237 

 241 



