TABLE OF CONTENTS 



Page 



ABSTRACT 1 



INTRODUCTION 2 



THE GEOiyiETRIC PARAMETERS 2 



CHOICE OF MATHEMATICAL FORM 3 



EQUATIONS FOR POLYNOMIAL COEFFICIENTS 4 



SOLUTION OF EQUATIONS FOR POLYNOMIALS OP SIXTH DEGREE 8 



Evaluation of Rq(x) 10 



Evaluation of R^(x) n 



Evaluation of P(x) 12 



Evaluation of Q(x) 12 



LIMITATION OF RANGES OF PARAMETERS ■. 1? 



Maximum or Minimum Condition 17 



Inflection Point Condition 19 



SEVENTH-DEGREE POLYNOMIAL FORMS 22 



Derivation of Basic Polynomials 22 



Limitation of Range of a^ by the "No-Inflection Point" Condition . 24 



Comparison of Sixth- and Seventh-Degree Polynomial Forms 25 



APPENDIX 1 - TABLE OP COEFFICIENTS FOR BASIC SIXTH-DEGREE POLYNOMIALS. 31 



APPENDIX 2 - TABLES OF THE BASIC SIXTH-DEGREE POLYNOMIALS 33 



APPENDIX 3 - GRAPHS OP BASIC SIXTH-DEGREE POLYNOMIALS FOR SELECTED 



VALUES OF m 55 



APPENDIX 4 - LEAST SQUARE PIT OP A SEVENTH- BY A SIXTH-DEGREE 



POLYNOMIAL FORM 6l 



APPENDIX 5 - GEOMETRICAL PROPERTIES ... 63 



ACKNOWLEDGMENTS 64 



REFERENCES 64 



