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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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The New American Practical Navigator; Being an Epitome of Navigation ...

Nathaniel Bowditch - 1846 - 451 pages
...SH is the complement of the arc AS ; SZ is the sine of the arc SH, or the cosine of the arc AS. XXI. The VERSED SINE of an arc is that part of the diameter contained between the sine and the arc ; thus- RA is the versed sine of the arc AS and DCR is the versed...
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A Treatise of Plane Trigonometry, and the Mensuration of Heights and ...

Jeremiah Day - Logarithms - 1848 - 153 pages
...of double the arc. The sine BG is half PG, which is the chord of the arc PAG, double the arc AG. 83. 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. 84. The TANGENT of...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1848 - 288 pages
...one exirerhity of an arc perpendicular to a diameter passing through the other extremity, as AB. 23. The versed sine of an arc is that part of the diameter which is intercepted between the sine and the arc ; as BD or BE. 24. The cosine of 'an are; is that...
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Mechanics for the Millwright, Machinist, Engineer, Civil Engineer, Architect ...

Frederick Overman - Machine design - 1851 - 444 pages
...is a perpendicular let fall from one extremity upon a diameter passing through-the other extremity. The versed sine of an arc is that part of the diameter which is intercepted between the foot of the sine and the arc. The tangent of an arc is limited by...
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An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - Nautical astronomy - 1851 - 621 pages
...cotangent, and cosecant of the arc EP, are respectively the cosine, cotangent, and cosecant of the Z. EAP. The versed sine of an arc, is that part of the diameter of the circle, vhich is contained between the sine and the arc. Thus DE is the versed sine of the arc...
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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - Geometry - 1851
...of double the arc. The sine BG is half PG, which is the chord of the arc PAG, double the arc AG. 83. 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. 84. The TANGENT of...
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A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Ralph Smyth, Sir Henry Edward Landor Thuillier - Surveying - 1851 - 718 pages
...JSecant of an arc is the line proceeding from the centre, and limiting the tangent of the same arc. The Versed Sine of an arc is that part of the diameter intercepted between the sine and the end of the said arc. •• The Co- Sine, Co-Tangent, etc., of...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 432 pages
...have occasion to refer to but one circular function not already defined. It is called the versed sine. The versed sine of an arc, is that part of the diameter intercepted between the point where the measuring arcs begin and the foot of the sine. It is designated,...
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The Popular Educator, Volume 6

1855
...or the chord of 60, is equal to the radius ; hence the sine of SO0 is equal to half of the radius. The versed sine of an arc is that part of the diameter intercepted between the sine and the arc. Thus GA is the versed sine of 'the are A P. The tangent of...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Elias Loomis - Trigonometry - 1855 - 178 pages
...the radius (Geom., Prop. IV., B. VI.); hence the sine of 30 is equal to half of the radius. (23.) The versed sine of an arc is that part of the diameter intercepted between the sine and the arc. Thus GA is the versed sine of the arc AF. (24). The tangent...
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