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" The Tangent of an arc is a line touching the circle in one extremity of the arc, and continued from thence, to meet a line drawn through the center and the other extremity. Thus... "
Self-help Mechanical Drawing: An Educational Treatise - Page 99
by Nehemiah Hawkins - 1902 - 287 pages
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A Course of Mathematics in Two Volumes for the Use of Academies as Well as ...

Charles Hutton - Mathematics - 1807 - 464 pages
...arc and its sine. So, AF is the versed sine of the arc AB, and EF the versed sine of the arc EDB. 9. The Tangent of an arc, is a line touching the circle in one extremity of that arc, continued from thence to meet a line drawn from the centre through the other extremity ;...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811 - 442 pages
...arc and its sine. So, AF is the versed sine of the arc AB, and EF the versed sine of the arc EDB. 9. The Tangent of an arc, is a line touching the circle in one extremity of that arc, continued from thence to meet a line drawn from the centre through the other extremity; which...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...arc and its sine. So, AF is the versed sine of the arc AB, and EF the versed sine of the arc BPB. 9. The Tangent of an arc, is a line touching the circle in one extremity of that arc, continued from thence to meet a line drawn from the centre through the other extremity ;...
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A Treatise on a Box of Instruments and the Slide-rule: For the Use of ...

Thomas Kentish - Geometrical drawing - 1852 - 258 pages
...or angle CAB, which it measures ; and CE is the sine of the arc CF, or angle CAF, which it measures. The tangent of an arc is a line touching the circle in one extremity of the arc, and meeting a line drawn from the centre through the other extremity; thus GB is the tangent of the arc...
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The Practical Model Calculator: For the Engineer, Mechanic, Machinist ...

Oliver Byrne - Engineering - 1852 - 598 pages
...the arc and its sine. So, AF is the versed sine of the arc AB, and EF the versed sine of the arc EDB. The tangent of an arc is a line touching the circle in one extremity of that arc, continued from thence to meet a line drawn from the centre through the other extremity :...
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A Treatise on Surveying and Navigation: Uniting the Theoretical, Practical ...

Horatio Nelson Robinson - History - 1853 - 334 pages
...is what it wants of 90° ; the supplement of an arc is what it what it wants of 180°. 2. The cosine of an arc is the perpendicular distance from the center...magnitude as the sine of the complement of the arc. Thus, CF, is the cosine of the arc AB; but CF—KB, the sine of BD. 3. The tangent of an arc is a line...
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A Treatise on a Vox of Instruments and the Slide-rule: For the Use of ...

Thomas Kentish - Mathematical instruments - 1854 - 268 pages
...the arc CF, or angle CAF, which it measures. The sine is half the chord of twice the arc, or angle. The tangent of an arc is a line touching the circle in one extremity of the arc, and meeting a line drawn from the centre through the other extremity ; thus GB is the tangent of the arc...
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The Artillerists̓ Manual, and British Soldiers̓ Compendium

Frederick Augustus Griffiths - Artillery drill and tactics - 1854 - 406 pages
...complement of an arc is the difference, in degrees, between the arc, and a quadrant, or 90 degrees. The tangent of an arc is a line touching the circle in one extremity of that arc, continued from thence to meet a line drawn from the centre through the other extremity ;...
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Elements of Geometry, Plane and Spherical Trigonometry and Conic Sections

Horatio Nelson Robinson - Conic sections - 1854 - 350 pages
...the sine of BD. 3. The tangent of an arc is a line touching the circle in one extremity of the arc, continued from thence, to meet a line drawn through the center and the other extremity. Thus, AS is the tangent to the arc AB, and DL is the tangent of the arc DB, or the cotangent of the...
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The Artillerists̓ Manual, and British Soldiers̓ Compendium

Frederick Augustus Griffiths - Artillery - 1859 - 426 pages
...Complement of an arc is the difference, in degrees, between the arc, and a quadrant, or 90 degrees. The Tangent of an arc is a line touching the circle in one extremity of that arc, continued from thence to meet a line drawn from the centre through the other extremity ;...
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