XIV CONTENTS 



MATHEMATICAL APPENDICES 



APPENDIX I 



PRESSURE AND ENERGY 



SECTION PAGE 



INTRODUCTION 355 



1*. NUMBER OF MOLECULES AND THEIR PATHS . . . . 355 



2*. SUMMATION 356 



3*. EEACTION 358 



4*. SUMMATION CARRIED OUT . . . . . . .. 353 



5*. MOMENTUM CARRIED OVER 359 



6*. COMPONENTS OF PRESSURE 361 



7*. INTERPRETATION OF THE FORMULA 362 



8*. KINETIC PRESSURE OF LIQUEFIED SUBSTANCES 365 



APPENDIX II 

 MAXWELL'S LAW 



9*. ON SOME OLDER PROOFS 368 



10*. HYPOTHESES USED IN THE PROOF 370 



11*. MECHANICAL CONDITIONS 373 



12*. DETERMINING EQUATIONS 374 



13*. ANOTHER METHOD . . . . . ..'-... . . . 377 



14*. INTEGRATION OF THE EQUATIONS . . . . . . 378 



15*. DETERMINATION OF THE CONSTANTS 380 



16*. LAW OF THE DISTRIBUTION OF SPEEDS. ..... 381 



17*. GAS IN EOTATION . . . 382 



18*. TRANSFORMATION OF COORDINATES ...... 386 



19*. MEAN VALUES OF THE SPEED AND ENERGY . . . 388 



20*. MIXED GASES 390 



21*. POLYATOMIC MOLECULES . . ... . . . . 393 



22*. ATOMIC MOTIONS . . 398 



23*. ROTATIONS OF THE MOLECULES ... ... 400 



24*. MOLECULAR AND ATOMIC ENERGY 404 



25*. MOLECULAR AND ATOMIC MOTION IN MIXED GASES . 405 



