| Elias Loomis - 1859 - 372 σελίδες
...drawn through the other extremity. Thus CI is the secant of the arc AF, or of the angle ACF. (26.) The cosine of an arc is the sine of the complement of that arc. Thus the arc DF, being the complement of AF, FK is the sine of the arc DF, or the cosine of the arc... | |
| Adrien Marie Legendre - 1863 - 464 σελίδες
...P'M' (B. L, P. XXIII.) : hence, the sine of an arc is equal to the tine of its supplement. B D 27. The cosine of an arc is the sine of the complement of the arc. It is evident, from the equal triangles of the figure, that the cosine of an arc is equal... | |
| William Davis Haskoll - 1868 - 252 σελίδες
...diameter which intercepts the other extremity of the arc. AB is the sine of the angle o (fig. 45). The cosine of an arc is the sine of the complement of that arc, or of the part of the diameter which lies between the centre of the circle and the sine. BO is the cosine... | |
| Elias Loomis - 1871 - 302 σελίδες
...drawn through the other extremity. Thus CI is the secant of the arc AF, or of the angle ACF. (26.) The cosine of an arc is the sine of the complement of that arc. Thus the arc DF, being the complement of AF, FK is the sine of the arc DF, or the cosine of the arc... | |
| Charles Davies - 1872 - 464 σελίδες
...to P'M' (18. I., P. XXIH.) : hence, the fine of an arc is equal to the tute of its supplement. 27. The cosine of an arc is the sine of the complement of the arc. It is evident, from the equal triangles of the figure, that the cosine of an arc is equal... | |
| William Alexander Myers - 1873 - 238 σελίδες
...tangent drawn through the other extremity. Thus CI is the secant of the arc AF, or of the angle A CF. The cosine of an arc is the sine of the complement of that arc. Thus the arc DF, being the complement of AF, FK is the sine of the arc DF, or the cosine of the arc... | |
| William Alexander Myers - 1874 - 207 σελίδες
...tangent drawn through the other extremity. Thus CI is the secant of the arc AF, or of the angle ACF. The cosine of an arc is the sine of the complement of that arc. Thus the arc DF, being the complement of AF, FK is the sine of the arc DF, or the cosine of the arc... | |
| Edward Atkins - 1874 - 426 σελίδες
...arc upon the diameter passing through the other extremity B. Thus CS is the SINE of the arc BC. (2.) The cosine of an arc is the sine of the complement of the arc. Thus, since DC is the complement of BC, SXD is the COSINE of the arc BC. (3.) The tangent... | |
| Adrien Marie Legendre - 1874 - 500 σελίδες
...to P'M' (13. I., P. XXm.) : hence, tJie sine of an arc is equal to the sine of its supplement. D 27. The cosine of an arc is the sine of the complement of the arc. Thus, N~M is the cosine of AM, and N~M' is the cosine of AM'. These lines are respectively... | |
| 1880 - 880 σελίδες
...arc, perpendicular to DA, which ¡8 the diameter passing through the other end, A, of the arc. XX. The COSINE of an arc is the sine of the complement of that arc, or of what that arc wants of a quadrant; thus, AH being a quadrant, the arc Sll is the complement of the... | |
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