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" The COSINE of an arc, is the sine of the complement of that arc, and is equal to the part of the radius comprised between the centre of the circle and the foot of the sine... "
A Course of Mathematics ...: Composed for the Use of the Royal Military ... - Page 55
by Charles Hutton - 1811
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - Trigonometry - 1806 - 464 pages
...perpendicular to the diameter which passes through the other end. Thus BD is the sine of AB, or of B «. The cosine of an arc is the sine of the complement of that arc, or the part of the diameter which lies between the centre of the circle and the sine. Thus BF, or its...
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An Introduction to the Theory and Practice of Plane and Spherical ...

Thomas Keith - Navigation - 1810 - 478 pages
...between the -versed sine of that arc, and (he dianieter. For be = bn — GB ; or, GB = bn — be,. (O) The co-sine of an arc is the sine of the complement of that arc; or it is that part of the diameter contained between the centre of the circle and the sine. Thus FE...
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A Course of Mathematics: For the Use of Academies, as Well as ..., Volume 2

Charles Hutton - Arithmetic - 1818 - 652 pages
...from one of its extremities upon the diameter of the circle which passes through the other extremity. The COSINE of an arc, is the sine of the complement...centre of the circle and the foot of the sine. The ТАЛ-GENT of an arc, is a line which touches the circle in one extremity of that arc, and is continued...
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A Course of Mathematics for the Use of Academies, as Well as Private Tuition

Charles Hutton - Mathematics - 1822 - 680 pages
...extremities upon the diameter of the circle which passes .through the other extremity. The COSINE of ah arc, is the sine of the complement of that arc, and is equal to the part of the radius comprised betweeji the centre of the circle and the foot of the sine. The TANGENT of an arc, is a line which...
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The New Practical Builder and Workman's Companion, Containing a Full Display ...

Peter Nicholson - Architecture - 1823 - 210 pages
...sine of the arc AB ; and here it is evident that an arc and its supplement have the same sine. 230. The CO-SINE OF AN ARC is the sine of the complement of that arc. Hence, BO or IM is the co-sine of the arc AB ; and, therefore, the sine of the complement BC. 231....
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A Course of Mathematics for the Use of Academies: As Well as ..., Volume 2

Charles Hutton - Geometry - 1826 - 682 pages
...from one ' its extremities upon the diameter of the circle which passes rough the other extremity. The COSINE of an arc, is the sine of the complement of that •c, and is equal to the part of the radius comprised between ,e centre of the circle and the foot...
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An Introduction to the Theory and Practice of Plain and Spherical ...

Thomas Keith - Navigation - 1826 - 504 pages
...between the versed sine of that arc and the diameter* For ¿G ±= OB — GB; or, GB = OB — ¿>G. (O) The co-sine of an arc is the sine of the complement of that arc ; or it is that part of the diameter contained between the centre of the circle and the sine. Thus...
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An Elementary Treatise on Plane and Spherical Trigonometry and on the ...

Silvestre François Lacroix - Geometry, Analytic - 1826 - 190 pages
...well as their equals CP, CP', CP", &c. under the name of cosines of the arcs AM, AM', AM", &c. Whence the cosine of an arc is the sine of the complement of this arc, and is equal to that part of the radius comprehended between the centre and the foot of the...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 2

Charles Hutton - Mathematics - 1831 - 662 pages
...its extremities upon the diameter of the circle which passes through the other extremity. The COSINK of an arc, is the sine of the complement of that arc,...centre of the circle and the foot of the sine. The TANG KMT of an arc, is a line which touches the circle in one extremity of that arc, and is continued...
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A System of Plane and Spherical Trigonometry: To which is Added a Treatise ...

Richard Wilson - Logarithms - 1831 - 372 pages
...extremity of the arc perpendicularly to the diameter passing through the other extremity. DBF. VI. The cosine of an arc is the sine of the complement of that arc. DEF. VII. The tangent of an arc is the right line drawn from one extremity of the arc touching the...
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