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" Fig. 7. 23. The Tangent of an Arch 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 Arch ; thus BK is the Tangent of the Arch BH. "
A System of Geometry and Trigonometry: Together with a Treatise on Surveying ... - Page 11
by Abel Flint - 1818 - 168 pages
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The shipwright's vade-mecum [by D. Steel].

David Steel - 1805 - 392 pages
...arch, perpendicular to th« other side or radius, as FR ; and it is half the chord of twice the arch. The Versed Sine of an arch is that part of the diameter intercepted between the sine and the end of the arch, as R V. The Tangent of an arch is a line, VT,...
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - Surveying - 1806 - 486 pages
...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. fig. 8. 24. The tangent of an arc is a right line touching the periphery, being perpendicular...
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A Treatise of Practical Surveying, ...

Robert Gibson - 1808 - 482 pages
...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. fig. 8. 24. The tangent of an arc is a right line touching the periphery, being perpendicular...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1811 - 580 pages
...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. fig. 8. 22. The tangent of an arc ia a right line touching the periphery, being |>erpendicular...
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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

Abel Flint - Surveying - 1813 - 214 pages
...Hence it is plain that the 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...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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Geometrical and Graphical Essays: Containing a General Description of the ...

George Adams - Geometry - 1813 - 576 pages
...of an arch is a line drawn from either end of it, perpendicular to a diameter meeting the other end. The versed sine of an arch is that part of the diameter intercepted between the sine and the end of the said arch. . The tangent of an arch is a line proceeding...
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A Treatise on Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - Surveying - 1818 - 502 pages
...from one extremity of that arch, perpendicularly to a diameter passing through the other extremity. 7. The Versed- Sine of an arch is that part of the diameter, intercepted between the sine and the pertphery. 8. The Co-Sine of an arch is that part of the diameter,...
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New American Practical Navigator

Nautical astronomy - 1821 - 708 pages
...the complement of the arch AS ; SZ is the sine of the arch SH, or the co-sine of the arch AS. XXI. The VERSED SINE of an arch is that part of the diameter contained be*tween the sine and the arch ; thus RA is the versed sine of the arch AS, and DCR is the...
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A general view of the sciences and arts, Volume 1

William Jillard Hort - 1822 - 308 pages
...diameter touching the other extremity. Thus BG is the sign of the arch AB, and of the angle ACB. 6. The versed sine of an arch, is that part of the diameter which is intercepted between its extremity and the sine. Thus, AG is the versed sine of the arch AB,...
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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

Abel Flint - Surveying - 1825 - 252 pages
...Hence it is plain that the 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...Circumference, and drawn perpendicular to the Diameter ; ami is terminated by a Line drawn from the Centre through the other end of the Arch ; thus BK is...
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