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" Sine, or Right Sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter which passes through the other extremity. Thus, BF is the sine of the arc AB, or of the supplemental arc BDE. "
A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ... - Page 3
by John Bonnycastle - 1818 - 438 pages
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - Trigonometry - 1838 - 328 pages
...Draw MP perpendicular to CN. will be the sine of the arc MN because it is drawn from one extremity M of the arc perpendicular to the diameter which passes through the other extremity N. MP is also the sine of the angle c. CM is the radius of the circle to which the arc MN belongs....
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An introduction to the theory ... of plane and spherical trigonometry ...

Thomas Keith - 1839 - 498 pages
...The sine of an arc of 30° is equal to half the radius.-f (99) The tangent\ of an arc is a straight line drawn from one extremity of the arc, perpendicular to the diameter, and is terminated by a straight line drawn through the centre of the circle and the other extremity...
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The Elements of Plane and Spherical Trigonometry: And Its Application to ...

Richard Abbatt - Spherical astronomy - 1841 - 234 pages
...trigonometrical lines belonging to the arc. (5.) The sine (sin) of an arc is the straight line drawn from the extremity of the arc, perpendicular to the diameter which passes through the origin. The cosine (cos) is the part of the diameter which passes through the origin intercepted between...
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An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - Nautical astronomy - 1851 - 674 pages
...an arc of 90° is equal to the radius, thus, AM is the sine of the quadrantal w arc EM. The tangent of an arc is a right line drawn from one extremity of the arc perpendicular to the diameter passing through that extremity, and is terminated by a right The tangent of any arc is equal to the...
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A Treatise on Trigonometry, Plane and Spherical: With Its Application to ...

Charles William Hackley - Trigonometry - 1851 - 536 pages
...MP perpendicular to CN. MP will be the sine of the arc MN because it is drawn from one extremity M of the arc perpendicular to the diameter which passes through the other extremity N. MP is also the sine of the angle c. CM is the radius of the circle to which the arc MN belongs....
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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
...one extremity of the arc to the other ; thus CK is the chord of the arc CBK. The sine of an arc is a line drawn from one extremity of the arc perpendicular to the diameter passing through the other extremity ; thus CD is the sine of the arc CB, or angle CAB, which it measures...
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The Practical Model Calculator: For the Engineer, Mechanic, Machinist ...

Oliver Byrne - Engineering - 1852 - 600 pages
...be an arc of 50°, then its supplement BDE will be 130°. The sine, or right sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter passing through the other extremity. Thus, BF is the sine of the arc AB, or of the arc BDE. Hence the...
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The Artillerists̓ Manual, and British Soldiers̓ Compendium

Frederick Augustus Griffiths - Artillery drill and tactics - 1854 - 406 pages
...taken from 180 degrees leaves the sum of the other two angles. Definitions. The sine of an arc is the line drawn from one extremity of the arc perpendicular to the diameter of the circle which passes through the other extremity. The supplement of an arc is the difference,...
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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
...one extremity of the arc to the other ; thus CK is the chord of the arc CBK. The sine of an arc is a line drawn from one extremity of the arc perpendicular to the diameter passing through the other extremity ; thus CD is the sine of the arc CB, or angle CAB, which it measures...
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The Artillerists̓ Manual, and British Soldiers̓ Compendium

Frederick Augustus Griffiths - Artillery - 1859 - 426 pages
...taken from 180 degrees leaves the sum of the other two angles. Definitions. The Sine of an arc is the line drawn from one extremity of the arc perpendicular to the diameter of the circle which passes through the Other extremity. The Versed sine of an arc is the part of the...
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