| Frederick Overman - 1851 - 444 sider
...is a perpendicular let fall from one extremity upon a diameter passing through-the other extremity. **The versed sine of an arc is that part of the diameter** which is intercepted between the foot of the sine and the arc. The tangent of an arc is limited by... | |
| Jeremiah Day - 1851
...of double the arc. The sine BG is half PG, which is the chord of the arc PAG, double the arc AG. 83. **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. 84. The TANGENT of... | |
| Janet Taylor - 1851 - 621 sider
...cotangent, and cosecant of the arc EP, are respectively the cosine, cotangent, and cosecant of the Z. EAP. **The versed sine of an arc, is that part of the diameter** of the circle, vhich is contained between the sine and the arc. Thus DE is the versed sine of the arc... | |
| Charles Davies, Adrien Marie Legendre - 1854 - 432 sider
...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,... | |
| 1855
...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... | |
| Elias Loomis - 1855 - 178 sider
...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 GA is the versed sine of the arc AF. (24). The tangent... | |
| Adrien Marie Legendre - 1857 - 448 sider
...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 - 450 sider
...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 sine of the supplemental arc AE. If the arc... | |
| 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... | |
| 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... | |
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