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" Given the Angles of Elevation of Any Distant object, taken at Three places in a Horizontal Right Line, which does not pass through the point directly below the object ; and the Respective Distances between the stations ; to find the Height of the Object,... "
Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ... - Page 191
by Charles William Hackley - 1838 - 307 pages
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811 - 404 pages
...Horizontal Right Line, which does not pass through the point directly below the object ; and the Respective Distances between the stations ; to find the Height...Object, and its Distance from either station. Let AKD be the horizontal plane : FE the perpendicular height of the object F above that plane ; А, в,...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 2

Charles Hutton - Mathematics - 1812 - 624 pages
...Horizontal Right Line, which does not pass through the point directly below the object ; and the Respective Distances between the stations ; to find the Height...Object, and its Distance from either station. Let AED be the horizontal plane : FE the perpendicular height of the object F above that plane ; A, E,...
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Elements of Plane and Spherical Trigonometry

Olinthus Gregory - Plane trigonometry - 1816 - 278 pages
...horizontal right line, which does not pass through the point directly below the object ; and the respective distances between the stations; to find the height...object, and its distance from either station. /• Let AEC be the horizontal plane, VE the perpendicular height of the object above that plane, A, B, c, the...
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A Course of Mathematics for the Use of Academies, as Well as Private Tuition

Charles Hutton - Mathematics - 1822 - 680 pages
...Horizontal Right Line, which does not pass through the point directly below the object ; and the Respective Distances between the stations ; to find the Height...Object, and its Distance from either station. Let AED be the horizontal plane : FE the perpendicular height of the object F above that plane; A, B, c,...
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A Course of Mathematics for the Use of Academies: As Well as ..., Volume 2

Charles Hutton - Geometry - 1826 - 682 pages
...Right Line, which does not pass through the point direclly bt-low the object ; and the Ilespectife Distances between the stations ; to find the Height of the Object, and its Distances from either fetation. Let AGO be the horizontal plane : IK the perpendicular height of the...
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Mathematical and Astronomical Tables: For the Use of Students of Mathematics ...

William Galbraith - Astronomy - 1827 - 412 pages
...straight line, which does not pass through the point directly below the object; and the respective distances between the stations : to find the height...object, and its distance from either station. Let AEC be the horizontal plane ; FE the perpendicular height of the object F above that plane ; A, B,...
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Elements of Plane and Spherical Trigonometry: With Its Applications to the ...

John Radford Young - Astronomy - 1833 - 308 pages
...the equations (1). PROBLEM VII. Given the angles of elevation of an object taken at three places o the same horizontal straight line, together with the...triangles BCA, BC'A, BC'A, will all be right angled atA; and, therefore, to radius BA, AC, AC', AC", will be the tangents of the angles at B, or the cotangents...
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Elements of Plane and Spherical Trigonometry: With Its Applications to the ...

John Radford Young - Astronomy - 1833 - 286 pages
....r' is known from the equation x< = ft — x, and CD from either of the equations (I). PROBLEM VII. Given the angles of elevation of an object taken at three places o the same horizontal straight line, together with the distances between the stations; to find the...
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Mathematical and Astronomical Tables: For the Use of Students in Mathematics ...

William Galbraith - Astronomy - 1834 - 454 pages
...straight line, which does not pass through the point directly below the object ; and the respective distances between the stations : to find the height...object, and its distance from either station. Let AEC be the horizontal plane ; FE the perpendicular height of the object F above that plane ; A, B,...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845 - 542 pages
...at three places on a level plane, no two of which are in the same vertical plane with the object ; to find the height of the object, and its distance from either station. Let A, B, C, be the three stations, K the object, and KH perpendicular to the plane of the triangle ABC....
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