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" CO-SINE of an arch is the sine of the complement of that arch, or of what that arch wants of a quadrant ; thus AH being a quadrant, the arch SH is 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... "
The New American Practical Navigator: Being an Epitome of Navigation ... - Page 6
by Nathaniel Bowditch - 1826 - 617 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 System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

Abel Flint - Surveying - 1808 - 190 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 or Radius which is between the Sine and the Circumference ; thus LB is the Versed Sine of the Arch...
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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 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 or Radius which is between the Sine and the Circumference; thus LB is the Versed Sine of the ArchHB,...
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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
...passing through the other end A of the arch. XX. The CO-SINE of an arch is the sine of the complement of that arch, or of what that arch wants of a quadrant...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 or Radius which is between the Sine and the Circumference £ thus LB is the Versed Sine of the Arch...
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The New American Practical Navigator: Being an Epitome of Navigation ...

Nathaniel Bowditch - Nautical astronomy - 1826 - 732 pages
...passing through the other end A of the. arch. XX. The CO-SINE of an arch is the sine of the complement of that arch, or of what that arch wants of a quadrant;"...VERSED SINE of an arch is that part of the diameter contained between the sine and the arch ; thus RA is the versed sine of the arch AS, and DCR is the...
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