Map Projections: Theory and Applications

Content: Cover
 Title Page
 Copyright Page
 Dedication
 PREFACE
 THE AUTHOR
 Table of Contents
 1: Introduction
 I. Introduction to the Problem
 II. Basic Geometric Shapes
 III. Distortion
 IV. Scale
 A. Example 1
 B. Example 2
 V. Feature Preserved in Projection
 VI. Projection Surface
 VII. Orientation of the Azimuthal Plane
 VIII. Orientation of a Cone or Cylinder
 IX. Tangency and Secancy
 X. Projection Techniques
 XI. Plotting Equations
 XII. Plotting Tables
 References
 2: Mathematical Fundamentals
 I. Introduction
 II. Coordinate Systems and Azimuth
 III. Grid Systems IV. Differential Geometry of Space CurvesA. Example 1
 B. Example 2
 V. Differential Geometry of a General Surface
 VI. First Fundamental Form
 A. Example 3
 B. Example 4
 C. Example 5
 D. Example 6
 E. Example 7
 VII. Second Fundamental Form
 VIII. Surfaces of Revolution
 IX. Developable Surfaces
 X. Transformation Matrices
 A. Example 8
 XI. Mathematical Definition of Equality of Area and Conformality
 XII. Rotation of Coordinate System
 XIII. Convergency of the Meridians
 A. Example 9
 XIV. Constant of the Cone and Slant Height
 A. Example 10
 B. Example 11
 References 3: Figure of the EarthI. Introduction
 II. Geodetic Considerations
 A. Example 1
 III. Geometry of the Ellipse
 A. Example 2
 IV. The Spheroid as a Model of the Earth
 A. Example 3
 B. Example 4
 C. Example 5
 V. The Spherical Model of the Earth
 A. Example 6
 B. Example 7
 C. Example 8
 D. Example 9
 E. Example 10
 F. Example 11
 VI. The Triaxial Ellipsoid
 References
 4: Equal Area Projections
 I. Introduction
 II. General Procedure
 III. The Authalic Sphere
 A. Example 1
 B. Example 2
 IV. Albers, One Standard Parallel
 A. Example 3
 B. Example 4
 V. Albers, Two Standard Parallels A. Example 5VI. Bonne
 A. Example 6
 VII. Azimuthal
 A. Example 7
 VIII. Cylindrical
 A. Example 8
 B. Example 9
 IX. Sinusoidal
 A. Example 10
 B. Example 11
 X. Mollweide
 A. Example 12
 B. Example 13
 XI. Parabolic
 A. Example 14
 B. Example 15
 XII. Hammer-Aitoff
 A. Example 16
 XIII. Boggs Eumorphic
 XIV. Eckert IV
 XV. Interrupted Projections
 A. Example 17
 References
 5: Conformal Projections
 I. Introduction
 II. General Procedures
 III. Conformal Sphere
 A. Example 1
 IV. Lambert Conformal, One Standard Parallel
 A. Example 2
 V. Lambert Conformal, Two Standard Parallels VI. StereographicA. Example 3
 B. Example 4
 VII. Mercator
 A. Example 5
 B. Example 6
 C. Example 7
 D. Example 8
 E. Example 9
 VIII. State Plane Coordinates
 IX. Military Grid Systems
 A. Example 10
 References
 6: Conventional Projections
 I. Introduction
 II. Summary of Procedures
 III. Gnomonic
 A. Example 1
 B. Example 2
 C. Example 3
 IV. Azimuthal Equidistant
 A. Example 4
 B. Example 5
 V. Orthographic
 A. Example 6
 B. Example 7
 C. Example 8
 VI. Simple Conic, One Standard Parallel
 VII. Simple Conical, Two Standard Parallels
 Vlll. Conical Perspective
 IX. Polyconic
 A. Example 9