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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. "
The Theory and Practice of Surveying: Containing All the Instructions ... - Page 29
by Robert Gibson - 1811 - 508 pages
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - Surveying - 1795 - 319 pages
...becomes the Sine of 90 Degrees, or of the fourth Part of the Circle, which is 360 Degrees. 23. The verfed Sine of an Arc is that Part of the Diameter that lies...right Sine and the Circumference : Thus LB is the verfed Sine of the Arc HB. Fig. 8. 24. The Tangent of an Arc is a right Line touching the Periphery,...
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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

Abel Flint - Geometry - 1804 - 168 pages
...Degrees. 22. The Versed Sine of an Arch is that ptrt of the Diameter or Radius which is between the Sine and the Circumference ; thus LB is the Versed Sine of the Arch HB. Fig. 7. ^ 23. The Tangent of an Arch is a Right Line touching the Circumference, and drawn...
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - Surveying - 1806 - 452 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...thus LB is the versed sine of the arc HB. fig. 8. 24. The tangent of an arc is a right line touching the periphery, being perpendicular to the end of...
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - Trigonometry - 1806 - 419 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...
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A Treatise of Practical Surveying, ...

Robert Gibson - 1808 - 440 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...thus LB is the versed sine of the arc HB. fig. 8. 24. The tangent of an arc is a right line touching the periphery, being perpendicular to the end of...
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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

Abel Flint - Geometry - 1808 - 168 pages
...Degrees. 22. The Versed Sine of an Arch is that part of the Diameter or Radius which is between the Sine and the Circumference ; thus LB is the Versed Sine of the Arch HB. Fig 7. 23. The Tangent of an Arch is a Right Line touching the Circumference, and drawn perpendicular...
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A Course of Mathematics: In Three Volumes : Composed for the Use of the ...

Charles Hutton - Mathematics - 1811
...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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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 2

Charles Hutton, Robert Adrain - Mathematics - 1812
...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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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...the circumference : thus LB is the versed sine of i he arc HB. fig. 8. 22. The tangent of an arc is a right line touching the periphery, being perpendicular...
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An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - Mathematics - 1814
...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...
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