CONTENTS. 17 



CHAPTER III. SEQUEL TO COPERNICUS. THE RECEPTION 

 AND DEVELOPMENT OF THE COPERNICAN THEORY. 



PAGE 



Sect. 1. First Reception of the Copernican Theory 269 



Sect. 2. Diffusion of the Copernican Theory 272 



Sect. 3. The Heliocentric Theory confirmed by Facts. Galileo's Astro- 

 nomical Discoveries 276 



Sect. 4. The Copernican System opposed on Theological Grounds 28G 



Sect. 5. The Heliocentric Theory confirmed on Physical Considerations. 



(Prelude to Kepler's Astronomical Discoveries.) 287 



CHAPTER IV. INDUCTIVE EPOCH OF KEPLER. 



Sect. 1. Intellectual Character of Kepler 290 



Sect. 2. Kepler's Discovery of his Third Law 293 



Sect. 3. Kepler's Discovery of his First and Second Laws. Elliptical 



Theory of the Planets. 296 



CHAPTER V. SEQUEL TO THE EPOCH OF KEPLER. RECEPTION, 

 VERIFICATION, AND EXTENSION OF THE ELLIPTICAL THEORY. 



Sect. 1. Application of the Elliptical Theory to the Planets 302 



Sect. 2. " " " " Moon 303 



Sect. 3. Causes of the further Progress of Astronomy 30o 



THE MECHANICAL SCIENCES. 



BOOK VI. 



HISTORY OF MECHANICS, INCLUDING FLUID 

 MECHANICS. 



Introduction 311 



CHAPTER I. PRELUDE TO THE EPOCH OF GALILEO. 



Sect. 1 . Prelude to the Science of Statics 31fL 



Sect. 2. Revival of the Scientific Idea of Pressure. Stevinus. Equilib- 

 rium of Oblique Forces 316 



Sect. 3. Prelude to the Science of Dynamics. Attempts at the First Law 



of Motion 310 



VOT. L 2 



