 | 1855 - 424 σελίδες
...or the chord of 60°, is equal to the radius ; hence the sine of SO0 is equal to half of the radius. The versed sine of an arc is that part of the diameter intercepted between the sine and the arc. Thus GA is the versed sine of 'the are A P. The tangent of... | |
 | Adrien Marie Legendre, Charles Davies - 1857 - 442 σελίδες
...have occasion to refer to but one circular function not already defined. It is called the versed sine. The versed sine of an arc, is that part of the diameter intercepted between the point where the measuring arcs begin and the foot of the sine. It is designated,... | |
 | Anthony Nesbit - 1859 - 494 σελίδες
...arc ; DG is also the tangent of the arc AE, and CG the secant of the arc AE, the supplement of AD. The versed sine of an arc is that part of the diameter contained between the sine and the arc ; thus FD is the versed sine of the arc AD, and FE is the versed... | |
 | Elias Loomis - 1859 - 372 σελίδες
...the radius (Geom., Prop. IV., B. VI.) ; hence the sine of 30° is equal to half of the radius. (23.) The versed sine of an arc is that part of the diameter intercepted between the sine and the arc. Thus GrA is the versed sine of the arc AF. (24). The tangent... | |
 | Henry S. Merrett - 1863 - 476 σελίδες
...the arc perpendicular to the diameter, as BF, or the supplement to the arc BD E. (Fig. 1, Plate 28.) The versed sine of an arc is that part of the diameter intercepted between the arc and its sine ; as AF is the versed sine of the arc A B. The tangent of... | |
 | Henry S. Merrett - 1863 - 428 σελίδες
...degrees. The sine of an arc is a line drawn from one extremity of an arc, perpendicular to the diameter. The versed sine of an arc is that part of the diameter intercepted between the arc and its sine. The tangent of an arc is a line drawn perpendicular to the... | |
 | William Alexander Myers - 1873 - 238 σελίδες
...radius (Loomis, Gcom., Prop. IV., Book VI.); hence the sine of 30° is equal to half of the radius. The versed sine of an arc is that part of the diameter intercepted between the sine and the arc. Thus GA is the versed sine of the arc AF, The tangent of... | |
 | William Alexander Myers - 1874 - 207 σελίδες
...radius (Loomis* Geom., Prop. IV., Book VI.); hence the sine of 30° is equal to half of the radius. The, versed sine of an arc is that part of the diameter intercepted between the sine and the arc. Thus GA is the versed sine of the arc AF. The tangent of... | |
 | Elias Loomis - 1877 - 458 σελίδες
...tangent, and secant of one of these angles is the cosine, cotangent, and cosecant of the other. 12. The versed sine of an arc is that part of the diameter intercepted between the extremity of the arc and the foot of the sine. Thus GA is the versed sine of... | |
 | Nathaniel Bowditch - 1888 - 704 σελίδες
...SI I is the complement of the arc AS; S/. is the sine of the arc Sil, or the cosine of the arc AS. The versed sine of an arc is that part of the diameter contained between the sine and the arc ; thus, RA is the versed sine of the arc AS, and DCR is the... | |
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The VERSED SINE of an arc is that part of the diameter which is between the sine and the arc. Thus BA is the versed sine of the arc AG. 
