Cartographic Science: A Compendium of Map Projections, with Derivations

Donald Fenna

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Historical Geography and Cartography Mathematics and Applications Geographic Information Systems Studies

Abstract

THE CURVED WORLD The Task: Curved Earth to flat map The Task in Hand: A globe as model and intermediary A SPHERICAL WORLD Shine a Light: Literal projections 'True' but Synthetic: Algebraic and other variants Slicing into the Globe: Secantal projections Turning from 'True': Pseudo... projections Cut and Paste: Interrupted and composite maps Skewing the Simple: The oblique aspect World in the Round: Globular projections Divide and Conquer: Extension by arithmetic tricks Double or Quits: Two-point and non-azimuthal Azimuthals Shaping Mathematics: Differential geometry Fact and Fiction: Of scales and distortion Seeking the Best: Optimizing distortion Keeping in Shape: More conformal projections Having Fun: Novelty projections AN ELLIPSOIDAL WORLD Squeezing the Circle: Ellipses and ellipsoids Pinpointing the Place: UTM & UPS THE REAL WORLD Reality Check: The geoid and geodesy APPENDICES Greek letters and words Glossary of symbols Glossary of terms Index to projections Historical bibliography GENERAL INDEX

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2010Graphical design of world map projections 2018Fibonacci lattices for the evaluation and optimization of map projections 2017Combining World Map Projections 2009Elements of Cartography

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