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" Now, since the element of the terrestrial meridian at its intersection with any parallel of latitude is equal to the product of the radius of curvature and element of latitude at that point... "
Projection Tables for the Use of the United States Navy: Comprising a New ... - Page 7
de United States. Bureau of Naval Personnel - 1869 - 236 pages
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Bulletin - United States Geological Survey, Numéros 47 à 54

Geological Survey (U.S.) - 1889
...length given by (8) when 2<p = 90° and a<p ±= 90°.* LENGTHS OP ARCS OF PARALLEL. (4.) The radius of any parallel of latitude is equal to the product of the radius of curvature of the normal section for the same latitude by the cosine of that latitude. That is, see FIG. l, r...
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Smithsonian Miscellaneous Collections, Volume 35

Smithsonian Institution - 1897 - 280 pages
...should with the length given by (4) when 2ф = 90° and Дф = 9o°.* b. Arcs of parallel. The radius of any parallel of latitude is equal to the product of the radius of curvature of the normal section for the same latitude by the cosine of that latitude. That is, see FIG. i, r...
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A Treatise on Surveying, Comprising the Theory and the Practice, Volume 2

William Mitchell Gillespie - 1897
...Formulas for the Computation of Arcs of Meridians and Parallels, (a) Arcs of Parallels. — The radius of any parallel of latitude is equal to the product of the radius of curvature for the normal section for this latitude by the cosine of the latitude — ie, if r is the radius of...
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A Treatise on Navigation and Nautical Astronomy: Including the Theory of ...

William Carpenter Pendleton Muir - 1906 - 718 pages
...and dm and dy be its rectangular components in the tangent plane at P. Then, dy = -?£-. W Now, since the element of the terrestrial meridian at its intersection...radius of curvature and element of latitude at that point, in accordance with the principle that the radius of curvature varies inversely as the angle...
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A Treatise on Navigation and Nautical Astronomy: Including the Theory of ...

William Carpenter Pendleton Muir - 1906 - 718 pages
...its rectangular components in the tangent plane at P, Then, , xdi ,.*> dy = —^- . (4) Now, since the element of the terrestrial meridian at its intersection...radius of curvature and element of latitude at that point, in accordance with the principle that the radius of curvature varies inversely as the angle...
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The Americana: A Universal Reference Library, Comprising the Arts ..., Volume 17

Frederick Converse Beach, George Edwin Rines - 1912
...— c1 Now. since the radius of curvature varies inversely as the angle between consecutive normals, the element of the terrestrial meridian at its intersection with any parallel of latitude is equal tn the product of the radius of curvature and the element of latitude at that point, and ds=R. dL,...
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