Geometric Theory Of Conjugate Tooth Surfaces, A
eBook - PDF

Geometric Theory Of Conjugate Tooth Surfaces, A

  1. 204 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Geometric Theory Of Conjugate Tooth Surfaces, A

About this book

This English translation, with revisions, of the well-known Chinese edition presents systematically the geometric theory of conjugate tooth surfaces in a more or less rigorous form. The concepts of the two kinds of limit points and limit curves are explained in some detail and a general formula for induced normal curvature is derived, of which the formula of Euler-Savary appears as a direct consequence. The idea of relative differentiation, initiated by Zhida Yan, simplifies the presentation considerably. The phenomenon of secondary contact, closely related to the limit curve of the second kind, is treated in full and its applications to direct and indirect generation are explained; concrete formulas for secondary plane envelope are derived.

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Yes, you can access Geometric Theory Of Conjugate Tooth Surfaces, A by Jia-shun Luo, Da-ren Wu in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Mechanical Engineering. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. CONTENTS
  2. FOREWORD
  3. CHAPTER I NOTES TO SURFACE THEORY
  4. CHAPTER II MOTION AND RELATIVE MOTION. RELATIVE DIFFERENTIATION
  5. CHAPTER III CONJUGATE SURFACES
  6. CHAPTER IV INDUCED NORMAL CURVATURE
  7. CHAPTER V DERIVATIVE OF INDUCED NORMAL CURVATURE
  8. CHAPTER VI SECONDARY CONTACT AND DIRECT GENERATION
  9. CHAPTER VII SECONDARY PLANE ENVELOPE (DIRECT GENERATION)
  10. CHAPTER VIII INDIRECT GENERATION. SECONDARY PLANE ENVELOPE
  11. APPENDIX NOTATIONS AND FORMULAS IN VECTOR ALGEBRA AND DIFFERENTIAL GEOMETRY
  12. INDEX