MAP PROJECTIONS Abigail Van Essendelft Definitions Great Circles

MAP PROJECTIONS Abigail Van Essendelft

Definitions:

Great Circles The “straightest” curves of the globe. Meridians Equator

“The world is round; maps are flat” – Porter W. Mc. Donnell (1979)

Preserving in Projection Distance Direction Area Angles

“Ideal” Projection

Distortion in Projection Tissot’s Indicatrix: Principal directions: Parallels and Meridians Mp : Scale factor along parallel Mm : Scale factor along meridians Mp Mm

Azimuthal Projection

Conical Projection

Cylindrical Projection

Mercator Projection Conformal Map

Lambert’s Equal Area Projection R

Pseudocylindrical Projection

Sinusoidal Projection R

Sinusoidal Projection Area =

Distortion in Projection Distortion will always be found in direction, distance, area, or angle: True. Size Tissot’s. Indatrix

Works Cited Images: Map Images: Justin Kunimune - https: //commons. wikimedia. org/wiki/Category: CC-BY-SA-4. 0 Projection Types: Rylem - https: //commons. wikimedia. org/wiki/Category: CC-BY-SA-4. 0 Definition Image: Longitude and Latitude - based on John P. Snyder (1987) Map Projections: A Working Manual http: //www. geography. ryerson. ca/michalak/geo 814/tutorial_1/long-lat. html Information: Borneman, Elizabeth. “Types of Map Projections. ” Geography Realm, 5 Jan. 2015, www. geographyrealm. com/types-map-projections/. Feeman, Timothy G. Portraits of the Earth: A Mathematician Looks at Maps. Vol. 18, American Mathematical Society, 2002. Mc. Cleary, John. Geometry from a Differentiable Viewpoint. 2 nd ed. , Cambridge University Press, 2013.