 | 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... | |
 | 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.... | |
 | Charles Hutton - Mathematics - 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... | |
 | Charles Hutton - Mathematics - 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... | |
 | 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... | |
 | 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...comprehended between the centre and the foot of the sine. The right-angled triangles CPM, CP'M, CP'M", &c., which have all the same hypothenuse, are formed,... | |
 | 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.... | |
 | 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... | |
 | William Smyth - Plane trigonometry - 1834 - 94 pages
...considered the cosine of AE, and CD' of AE' &c.; whence the remaining side in the triangles CDE, CD'E', &c. may be designated by the term cosine ; and we...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... | |
 | William Smyth - Plane trigonometry - 1834 - 104 pages
...considered the cosine of AE, and CD'of AE' &c.; whence the remaining side m the triangles CDE, CD'E', &c. may be designated by the term cosine ; and we say, that the cosine cf an arc is the sine of the complement of that arc, and is equal to that part of the radius comprehended... | |
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The CO-SINE of an arc is the sine of the complement of that arc as L. 
