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" To THE TANGENT OF THE COURSE ; So IS THE MERIDIONAL DIFFERENCE OF LATITUDE, To THE DIFFERENCE OF LONGITUDE. By this theorem, the difference of longitude may be calculated, without previously rinding the departure. "
Elements of Plane and Spherical Trigonometry: With Its Applications to the ... - Page 129
by John Radford Young - 1833 - 264 pages
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Elements of Surveying, and Navigation: With a Description of the Instruments ...

Charles Davies - Navigation - 1841 - 414 pages
...AC' in the diagram. The difference of longitude CC may then be found by me following proportion. I. As radius is to the tangent of the course, so is the...difference of latitude to the difference of longitude. But if the departure be given instead of the course, then, II. As the true difference of latitude,...
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Elements of Surveying, and Navigation: With a Description of the Instruments ...

Charles Davies - Navigation - 1835 - 388 pages
...in the diagram. The difference of longitude CC may then be found by the following proportion. I. Ai radius is to the tangent of the course, so is the...difference of latitude to the difference of longitude. But if the departure be given instead of the course, then, II. A* the true difference of latitude,...
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A Treatise on Trigonometry, Plane and Spherical: With Its Application to ...

Charles William Hackley - Trigonometry - 1851 - 536 pages
...opposite. The following is tho rule. 1. The tangent of the course X meridional difference of latitude = the difference of longitude ; or if the departure be given instead of the course, then from the similar triangles AB'B, AC'C, the proportion will be 2. As the proper difference of latitude...
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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - Geometry - 1851 - 418 pages
...radius, Rad. : Tan. A : : AL : DL ; that is, THEOREM II. As RADIUS, To THE TANGENT OF THE COURSE J So IS THE MERIDIONAL DIFFERENCE OF LATITUDE, TO THE DIFFERENCE OF LONGITUDE. By this theorem, the difference of longitude may be calculated, without previously finding the departure....
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A Treatise on Trigonometry, Plane and Spherical: With Its Application to ...

Charles William Hackley - Trigonometry - 1851 - 524 pages
...triangles AB'B, AC'C, the proportion will be 2. As the proper difference of latitude is to the departure, so is the meridional difference of latitude to the difference of longitude. Other proportions immediately suggest themselves from the preceding figure. * Observe that the meridional...
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Elements of Surveying, and Navigation: With Descriptions of the Instruments ...

Charles Davies - Navigation - 1854 - 446 pages
...diagram. The difference of longitude denoted by C'O may then be found by the following proportion. I. As radius is to the tangent of the course, so is the...difference of latitude to the difference of longitude. But if the departure be given instead of the course, then, II. As the proper difference of latitude...
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Elements of Surveying, and Navigation: With Descriptions of the Instruments ...

Charles Davies - Navigation - 1857 - 424 pages
...diagram. The difference oflongitude denoted by G'C may then be found by the following proportion. I. As radius is to the tangent of the course, so is the meri~ dional difference of latitude to the difference of longitude. But if the departure be given instead...
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Elements of Surveying and Navigation: With Descriptions of the Instruments ...

Charles Davies - Navigation - 1866 - 426 pages
...diagram. The difference of longitude denoted by O'C may then be found by the following proportion. . I. As radius is to the tangent of the course, so is the meridional difference of latitude to tiie difference of longitude. But if the departure be given instead of the course, then, II. As the...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...departure is to the difference of longitude. Again, in the triangle ADE we have R:tan. A::AE:ED; or, as radius is to the tangent of the course, so is the...difference of latitude to the difference of longitude. Or the formula 11. diff. long.—mer. diff. lat.xtan. course. EXAMPLES. 1. A ship, from latitude 49°...
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