Research Catalog

Title

Map projection methods / Frederick Pearson II.

Author

Pearson, Frederick, 1936-

Publication

Blacksburg, Va. : Sigma Scientific, 1984.

Items in the Library & Off-site

Details

Description

xii, 292 pages : illustrations; 24 cm.

Series Statement

The Sigma series in applied mathematics for science and engineering

Uniform Title

Sigma series in applied mathematics for science and engineering

Subject

• Map projection
• Geodäsie
• Kartennetzentwurf
• Kartografie
• CONTINUITY (MATHEMATICS)
• MAPPING
• MAPS
• PROCEDURES
• TOPOGRAPHY
• TOPOLOGY
• PROJECTION

Note

• Includes index.

Bibliography (note)

• Bibliography: p. [282]-283.

Contents

• INTRODUCTION: Introduction to the problem -- Distortion -- Coordinate systems -- Scale -- Classification by feature preserved -- Classification by projection surface -- Classification by orientation of the azimuth plane -- Classification by orientation of a cone and cylinder -- Classification by tangency or secancy -- Projection techniques -- Azimuth -- Constant of a cone -- Plotting equations -- MAPPING TRANSFORMATIONS: Differential geometry of curves -- Differential geometry of surfaces -- First fundamental form -- Second fundamental form -- Surfaces of revolution -- Developable surfaces -- Transformation matrix -- Conditions of equal area and conformal projections -- Convergency of the meridians -- Rotation of the coordinate system -- FIGURE OF THE EARTH: Geometry of the ellipse -- Geometry of the spheroid -- Distances and angles on the spheroid -- Geodetic spheroids -- Reduction of the formulas to the sphere -- EQUAL AREA PROJECTIONS: Authalic latitude -- Conical one standard parallel, two standard parallels -- Azimuthal polar, oblique, equatorial -- Bonne -- Cylindrical -- Sinusoidal -- Mollweide -- Parabolic -- Hammer-Aitoff -- Eckert -- Werner -- Eumorphic -- Interrupted --
• CONFORMAL PROJECTIONS: The conformal sphere -- Mercator; equatorial, oblique, transverse -- Lambert conformal; one standard parallel, two standard parallels -- Stereographic; polar, oblique, equatorial -- State plane coordinates -- CONVENTIONAL PROJECTIONS: Gnomonic; polar, oblique, equatorial -- Azimuthal equidistant; oblique, polar -- Orthographic; polar, equatorial -- Simple conical; one standard parallel, two standard parallels, perspective -- Polyconic -- Simple cylindrical, perspective, miller -- Plate carree -- Carte parallelogrammatique -- Globular -- Gall -- Van der Grinten -- Murdoch -- Stereographic variations; Clarke, James, La Hire -- Cassini -- THEORY OF DISTORTIONS: Distortion in length -- Distortion in angles -- Distortion in area -- Distortion in equal area projections -- Distortion in conformal projections -- Distortion in conventional projections -- Qualitative comparisons -- USES OF MAP PROJECTIONS: Characteristics of map projections -- Recommended uses of map projections.

ISBN

• 0915313006
• 9780915313006

LCCN

83051506

OCLC

• ocm10956348
• 10956348
• SCSB-626738

Owning Institutions

Princeton University Library