XVI 



SEC. 



THE GRAMMAR OF SCIENCE 



Acceleration 



12. The Velocity Diagram, or Hodograph 



13. Acceleration as a Spurt and a Shunt 



14. Curvature . . .... 



15. The Relation between Curvature and Normal Acceleration 



16. Fundamental Propositions in the Geometry of Motion 



17. The Relativity of Motion. Its Synthesis from Simple Components 

 Summary and Literature ...... 



219 

 222 

 224 

 228 

 231 



233 

 237 



CHAPTER VII 



MATTER 



1. " All things move " — but only in Conception 



2. The Three Problems .... 



3. How the Physicists define Matter 



4. Does Matter occupy Space ? . 



5. The " Common-sense " View of Matter as Impenetrable and Hard 



6. Individuality does not denote Sameness in Substratum 



7. Hardness not characteristic of Matter 



8. Matter as non-Matter in Motion . 



9. The Ether as " Perfect Fluid " and " Perfect Jelly " 



10. The Vortex- Ring Atom and the Ether-Squirt Atom 



11. A Material Loophole into the Supersensuous 



12. The Difficulties of a Perceptual Ether 



1 3. Why do Bodies move ? . 

 Summary and Literature . . . ■ 



239 



242 

 244 

 248 



252 



254 

 258 



259 

 262 

 265 

 267 

 270 

 272 

 276 



CHAPTER VIII 



THE LAWS OF MOTION 



Corpuscles and their Structure . . . . .278 



The Limits to Mechanism . - • .282 



The First Law of Motion ..... 284 



The Second Law of Motion, or the Principle of Inertia . . 286 



The Third Law of Motion. Mutual Acceleration is determined by 



Relative Position . . . . . .290 



Velocity as an Epitome of Past History. Mechanism and Material- 

 ism. Laplace's Ideal Goal . . . . .295 



The Fourth Law of Motion . . . . -299 



The Scientific Conception of Mass .... 302 



The Fifth Law of Motion. The Definition of P'orce . . 303 



Equality of Masses tested by Weighing .... 306 



How far does the Mechanism of the Fourth and Fifth Laws of 



Motion extend ? . . ■ • -310 



12. Density as the Basis of the Kinetic Scale . . . -312 



13. The Influence of Aspect on the Corpuscular Dance . -316 



I. 

 2. 



4- 

 5- 



7- 

 8. 



9- 

 10. 

 II. 



