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" 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. "
A Course of Mathematics: Containing the Principles of Plane Trigonometry ... - Page 52
by Jeremiah Day - 1853 - 5 pages
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - Trigonometry - 1806 - 464 pages
...line drawn perpendicular to the diameter at the other end. Thus o E is the secant of AB, or of B a. The versed sine of an arc is that part of the diameter which lies between the beginning of the arc and the sine. Thus AD is the versed sine of AB, and D a is the...
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - Surveying - 1806 - 486 pages
...quadrant becomes the sine of 90 degrees, or the fourth part of the circle, which is 360 degrees. 23. 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....
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A Treatise of Practical Surveying, ...

Robert Gibson - 1808 - 482 pages
...quadrant, becomes the sine of 9O degrees, or the fourth part of the circle, which is 360 degrees. 23. The versed sine of an arc is that par-t of the diameter that lies between the right sine and the circumference : thus LB is the versed sine of the arc HB....
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A Course of Mathematics: In Three Volumes : Composed for the Use of the ...

Charles Hutton - Mathematics - 1811 - 424 pages
...the extremities of that arc and prolonged till it meets the tangent drawn from the other extremity. The VERSED SINE of an arc, is that part of the diameter of the circle which lies between the beginning of the arc and the foot of the sine. The COTANGENT,...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1811 - 580 pages
...quadrant becomes the sine of 90 deg.ees, or the fourth part of the circle, which is 360 degiees. ^91. 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....
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 2

Charles Hutton - Mathematics - 1812 - 624 pages
...the extremities of thai arc and prolonged till it meets the tangent drawn from the other extremity. The VERSED SINE of an arc, is that part of the diameter of the circle which lies between the beginning of the arc and the foot of the sine. The COTANGENT,...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - Surveying - 1814 - 398 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, Fig. 31....
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An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - Mathematics - 1814 - 528 pages
...with C, the co-sine CD will vanish. Hence also the sine or co-sine can never exceed the radius. 14. THE VERSED SINE of an arc, is that part of the diameter which is intercepted between the beginning of the arc and its sine. Ttius, DA is the versed sine of the arc...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1814 - 558 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 of Plane Trigonometry: To which is Prefixed, a Summary View of ...

Jeremiah Day - Logarithms - 1815 - 172 pages
...diameter which passes through the other end. Thus BG (Fig. 3.) is the sine of the arc AG. For BG is a line drawn from the end G of the arc, perpendicular to the tliamcter AM which passes through the other end A of the arc. Cor. The sine is half the chord of double...
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