| Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 432 pages
...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,... | |
| ELIAS LOOMIS, LL.D. - 1859
...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... | |
| Anthony Nesbit - Measurement - 1859 - 450 pages
...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... | |
| Henry S. Merrett - 1863
...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 - Surveying - 1863 - 317 pages
...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 - Circle-squaring - 1873 - 164 pages
...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
...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 - Geometry - 1877 - 443 pages
...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 - Nautical astronomy - 1888 - 647 pages
...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... | |
| William Kent - Engineering - 1902 - 1113 pages
...arc is that part of the proditced diameter which is intercepted betn-een the centre and the tangent. **The versed sine of an arc is that part of the diameter** intercepted beticeen the extremity of the arc and the foot of the sine. In a circle whose radius is... | |
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