| Nathaniel Bowditch - 1846 - 451 pages
...SH is the complement of the arc AS ; SZ is the sine of the arc SH, or the cosine of the arc AS. XXI. **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 versed... | |
| Jeremiah Day - Logarithms - 1848 - 153 pages
...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... | |
| John Bonnycastle - Geometry - 1848 - 288 pages
...one exirerhity of an arc perpendicular to a diameter passing through the other extremity, as AB. 23. **The versed sine of an arc is that part of the diameter** which is intercepted between the sine and the arc ; as BD or BE. 24. The cosine of 'an are; is that... | |
| Frederick Overman - Machine design - 1851 - 444 pages
...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... | |
| Janet Taylor - Nautical astronomy - 1851 - 621 pages
...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... | |
| Jeremiah Day - Geometry - 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... | |
| Ralph Smyth, Sir Henry Edward Landor Thuillier - Surveying - 1851 - 718 pages
...JSecant of an arc is the line proceeding from the centre, and limiting the tangent of the same arc. **The Versed Sine of an arc is that part of the diameter** intercepted between the sine and the end of the said arc. •• The Co- Sine, Co-Tangent, etc., of... | |
| Charles Davies - Geometry - 1854 - 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,... | |
| 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 - Trigonometry - 1855 - 178 pages
...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... | |
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