1. Art and Science. 239 2. Arabian Science. 242 3. Experimental Philosophy of the Arabians. 243 4. Roger Bacon. 245 5. Architecture of the Middle Ages. 246 6. Treatises on Architecture. 248 BOOK V. HISTORY OF FORMAL ASTRONOMY AFTER THE STATIONARY PERIOD. Introduction. 255 CHAPTER I.--PRELUDE TO THE INDUCTIVE EPOCH OF COPERNICUS. 257 CHAPTER II.--INDUCTION OF COPERNICUS. THE HELIOCENTRIC THEORY ASSERTED ON FORMAL GROUNDS. 262 {17} CHAPTER III--SEQUEL TO COPERNICUS. THE RECEPTION AND DEVELOPMENT OF THE COPERNICAN THEORY. _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 Astronomical Discoveries. 276 _Sect._ 4. The Copernican System opposed on Theological Grounds. 286 _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. 305 _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. 312 _Sect._ 2. Revival of the Scientific Idea of Pressure. --Stevinus.--Equilibrium of Oblique Forces. 316 _Sect._ 3. Prelude to the Science of Dynamics.--Attempts at the First Law of Motion. 319 {18} CHAPTER II.--INDUCTIVE EPOCH OF GALILEO.--DISCOVERY OF THE LAWS OF MOTION IN SIMPLE CASES.