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" QUADRILATERALS OF THE EARTH'S SURFACE. An expression for the area of a zone of the earth's surface or of a quadrilateral bounded by meridians and parallels may be found in the following manner : — The area of an elementary zone dZ, whose middle latitude... "
Formulas and Tables to Facilitate the Construction and Use of Maps - Page 16
de Robert Simpson Woodward - 1889 - 124 pages
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Bulletin - United States Geological Survey, Numéros 47 à 54

Geological Survey (U.S.) - 1889
...SUBFACE. (6). An expression for the area of a zone of the earth's surface or of a quadrilateral bounded by meridians and parallels may be found in the following...: The area of an elementary zone dZ, whose middle latitude is <p and whose width is pm dip, is (see FIG. 1), dZ=2-r ¡>m d<p By means of the relations...
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Smithsonian Geographical Tables

Smithsonian Institution - 1897 - 182 pages
...SURFACE. An expression for the area of a zone of the earth's surface or of a quadrilateral bounded by meridians and parallels may be found in the following...— The area of an elementary zone dZ, whose middle latitude is ф and whose width is i>m a<f>, is (see FIG. i), dZ = 2 IT f pm аф -~ - ~ (¡,., />.....
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Smithsonian Miscellaneous Collections, Volume 35

Smithsonian Institution - 1897 - 280 pages
...SURFACE. An expression for the area of a zone of the earth's surface or of a quadrilateral bounded by meridians and parallels may be found in the following...— The area of an elementary zone dZ, whose middle latitude is ф and whose width is pm ¿ф, is (see FIG. i), dZ = 2 я- г рт аф = 2 Я- pm pn COS...
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