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" The tangent of an arc is a right line touching the circumference, and drawn perpendicular to the diameter ; and is terminated by a line drawn from the centre through the other end of the arc ; thus BK is the tangent of the arc BH. "
A System of Geometry and Trigonometry: With a Treatise on Surveying ... in ... - Page 13
by Abel Flint - 1830 - 284 pages
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Electronic books - 1814 - 508 pages
...quadrant becomes the sine of 90 degrees, or the fourth part of the circle, which is 360 degrees. t 2J. The versed sine of an arc is that part of the diameter that lies between the right sine and the circumference : thus LB is the versed sine of i he arc HB....
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - Surveying - 1814 - 346 pages
...thus CF is the cosine of the arc AB, and is equal to Bl, the sine of its complement HB, Fig. 31. 8. The versed sine of an arc, is that part of the diameter which is intercepted between the sine and the arc: thus AF is the versed sine of AB; and DF of DB,...
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A Practical Application of the Principles of Geometry to the Mensuration of ...

Jeremiah Day - Measurement - 1815 - 96 pages
...double .the arc. The sine BG is half PG, which is the chord of the arc PAG, double the arc AG. 83. The VERSED SINE of an arc is that part of the diameter which is between the sine and the arc. Thus BA is the versed sine of the arc AG. 84. The TANGENT of...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Olinthus Gregory - Plane trigonometry - 1816 - 244 pages
...arc is a perpendicular let fall from one extremity upon a diameter passing through the other. . 14. The versed sine of an arc is that part of the diameter which is intercepted between the foot of the sine and the arc. 15. The tangent of an arc is a right...
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An Introduction to the Theory and Practice of Plain and Spherical ...

Thomas Keith - Navigation - 1826 - 442 pages
...arc.\ The secant of 45° is equal to double the sine of 45°,$ and an arc of 90° has no secant. (N) The versed sine of an arc is that part of the diameter which is contained between the sine and the arc. Thus BG is the versed sine of the arc BF, and ÍG...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1829 - 252 pages
...one extremity of an arc perpendicular to a diameter passing through the other extremity, as AB. 23. The versed sine of an arc is that part of the diameter which is intercepted between the sine and the arc; as BD or BE. 24. The cosine of an arc, is that part...
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A Treatise of Plane Trigonometry: To which is Prefixed a Summary View of the ...

Jeremiah Day - Logarithms - 1831 - 155 pages
...of double the arc. The sine BG is half PG, which is the chord of the arc PAG, double the arc AG. 83. The VERSED SINE of an arc is that part of the diameter which is between the. sine and the arc. Thus BA is the versed sine of the arc AG. 84. The TANGENT of...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying

Jeremiah Day - Measurement - 1831 - 370 pages
...of double the arc. The sine BG is half PG, which is the chord of the arc PAG, double the arc AG. 83. The VERSED SINE of an arc is that part of the diameter which is between the sine and the arc. Thus BA is the versed sine of the arc AG. 84. The TANGENT of...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1832 - 348 pages
...360 degrees. 21. The versed sine of an arc is that part of the diameter that lies between the right sine and the circumference : thus LB is the versed sine of the arc HB, fig. 8. 22. The tangent of an arc is a right line touching the periphery, being perpendicular to the end...
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A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - Measurement - 1833 - 159 pages
...+ chains. OP THE CHORD. A.ro A chord is a straight line which joins the two extremities of an arc. The versed sine of an arc is that part of the diameter contained between the chord and the arc. PROBLEM VIII. The chord and versed sine given, to find the...
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