 | John Bonnycastle - 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... | |
 | Charles Hutton - 1811 - 404 pages
...one of its extremities upon the diameter of the circle which passes through the other extremity. The 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... | |
 | Charles Hutton - 1812 - 624 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 of that arc, and is equal to the part of the radius comprised between the centre of the circle and the foot of the... | |
 | Charles Hutton - 1816 - 618 pages
...its extremities upon the diameter of the circle which passes through the other extremity. The COMNE 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... | |
 | Peter Nicholson - 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.... | |
 | Charles Hutton - 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... | |
 | Thomas Keith - 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...the sine of AF, which is the complement of BF ; or CG is the cosine of BF, because CG = FE. The cosine of an arc is equal to the cosine of its supplement.... | |
 | Silvestre François Lacroix - 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... | |
 | Richard Wilson - 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... | |
 | William Smyth - 1834 - 94 pages
...remaining side in the triangles CDE, CD'E', &c. may be designated by the term cosine ; and we say, that the cosine of an arc is the sine of the complement of that arc, and is equal to that part of the radius comprehended between the centre and the foot of the sine. 27.... | |
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The CO-SINE of an arc is the sine of the complement of that arc as L. 
