By Donald Fenna
Geographic books repeatedly introduce map projections with out supplying mathematical motives of projections and few delve into complicated mathematical improvement or conceal the breadth of projections. From easy projecting to complex differences, Cartographic technological know-how: A Compendium of Map Projections, with Derivations is a complete reference that provides a proof of the technology of cartography.
The publication is a compilation of greater than 100 map projections, from vintage conics to modern ameliorations utilizing complicated variables. ranging from generally defined geometric projecting onto flat paper, cylinder, and cone after which progressing via numerous layers of arithmetic to arrive glossy projections, the writer maximizes the appliance of 1 layer of advanced arithmetic prior to carrying on with directly to the following. He additionally provides a variety of one-page tutorials that overview phrases and methodologies, assisting reduce the demanding situations of surprising mathematical territory.
Divided into 4 elements, the 1st part examines the form and measurement of the Earth, then proceeds to enquire the capacity for referring to the curved floor to a flat floor, and addresses scaling. It is going directly to conceal pertinent rules of projection together with literal projecting, actual yet artificial projections, secantal projections, pseudocylindrical projections, and pseudoconical projections, in addition to the opposite editions of extra critical projections. The ebook concludes through elements influencing suggest Sea point and notes the cartographic elements of present developments.
Cartographic technological know-how: A Compendium of Map Projections, with Derivations explains the mathematical improvement for a wide range of projections inside a framework of different cartographic methodologies. This rigorously paced booklet covers extra projections, with mild and innovative immersion within the arithmetic concerned, than the other ebook of its type
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Extra resources for Cartographic Science: A Compendium of Map Projections, with Derivations
25 26 PART A: The Curved World Exhibit 2–1: Earth seen from an airplane – the Aerial projection from an altitude of 12 km. Focused at 85°W, 45°N, with 1° graticule. Exhibit 2–2: Earth seen from the Space Station – the Aerial projection from an altitude of 500 km. Focused, as with Exhibit 2–1, at 85°W, 45°N, but with 5° graticule. Chapter 2: A globe as model and intermediary 27 THE SCALE MODEL Scale The scaling of 1⁄ 300 000 000 used for the Plate-Carrée maps in the preceding chapter (stated therein as “Scale 1:300 000 000”) provided the multiplier that brought the massive radius of Earth down to a size befitting our map.
To include in Eurasia the easternmost islands of Russia that reach to 175°W and to include in North America the Aleutian chain that reaches to 175°E). Although most texts routinely use the expression in brackets to stress the differencing from the Greenwich value, reduction of clutter in the multitudinous formulae in this work favours the use of the single graphic λ. While the underlined form will be used at times, usually plain unadorned λ will be used to mean longitude in its chosen relative context rather than the Greenwich-based value.
CHAPTER 2 The Task in Hand: A globe as model and intermediary Preamble In developing the Plate-Carrée, a multiplier factor brought the numbers representing angles of longitude and latitude to linear measurements appropriately sized for the paper on which the map was to be plotted. In the sample maps shown in the preceding chapter, a scale of 1:300 000 000 is stated, indicating that distances on the map are only 1⁄ 300 000 000 of the equivalent on Earth†. Virtually every map is a miniature — though not usually so gross a miniaturization — of the region it depicts.