| John Bonnycastle - 1806 - 419 sider
...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... | |
| Thomas Keith - 1810 - 420 sider
...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... | |
| Charles Hutton - 1818
...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... | |
| Peter Nicholson - 1823
...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
...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 - 442 sider
...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... | |
| Silvestre François Lacroix - 1826 - 165 sider
...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... | |
| Charles Hutton - 1831
...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... | |
| Richard Wilson - 1831 - 330 sider
...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 - 72 sider
...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. From what has... | |
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