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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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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

Abel Flint - Geometry - 1804 - 168 pages
...7. is the greatest possible Sine, or Sine of 90 Degrees. 22. The Versed Sine of an Arch is that ptrt of the Diameter or Radius which is between the Sine...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 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: 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 that lies between the right sine and the circumference : thus LB is the versed sine of the arc HB....
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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

Abel Flint - Geometry - 1808 - 168 pages
...Radius CD Fig. 7. is the greatest possible Sine, or Sine of 90 Degrees. 22. The Versed Sine of an Arch is that part of the Diameter or Radius which is between...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 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 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
...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 - Electronic books - 1811 - 508 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, 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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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

Abel Flint - Geometry - 1813 - 168 pages
...Radius CD Fig. 7, is. the greatest possible Sine, or Sine of 90 Degrees. 22. The Versed Sine of an Arch is that part of the Diameter or Radius which is between...the Circumference; thus LB is the Versed Sine of the ArchHB, Fvf.l. 23. The Tangent of an Aroh is a Right Line touch« ing the Circumference, and drawn...
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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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