| Robert Gibson - Electronic books - 1814 - 508 pages
...quadrant becomes the sine of 90 degrees, or the fourth part of the circle, which is 360 degrees. t 2J. **The versed sine of an arc is that part of the diameter** that lies between the right sine and the circumference : thus LB is the versed sine of i he arc HB.... | |
| John Gummere - Surveying - 1814 - 346 pages
...thus CF is the cosine of the arc AB, and is equal to Bl, the sine of its complement HB, Fig. 31. 8. **The versed sine of an arc, is that part of the diameter** which is intercepted between the sine and the arc: thus AF is the versed sine of AB; and DF of DB,... | |
| Jeremiah Day - Measurement - 1815 - 96 pages
...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... | |
| Olinthus Gregory - Plane trigonometry - 1816 - 244 pages
...arc is a perpendicular let fall from one extremity upon a diameter passing through the other. . 14. **The versed sine of an arc is that part of the diameter** which is intercepted between the foot of the sine and the arc. 15. The tangent of an arc is a right... | |
| Thomas Keith - Navigation - 1826 - 442 pages
...arc.\ The secant of 45° is equal to double the sine of 45°,$ and an arc of 90° has no secant. (N) **The versed sine of an arc is that part of the diameter** which is contained between the sine and the arc. Thus BG is the versed sine of the arc BF, and ÍG... | |
| John Bonnycastle - Geometry - 1829 - 252 pages
...one extremity 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 arc, is that part... | |
| Jeremiah Day - Logarithms - 1831 - 155 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... | |
| Jeremiah Day - Measurement - 1831 - 370 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... | |
| Robert Gibson - Surveying - 1832 - 348 pages
...360 degrees. 21. The versed sine of an arc is that part of the diameter that lies between the right **sine and the circumference : thus LB is the versed sine of the arc HB, fig.** 8. 22. The tangent of an arc is a right line touching the periphery, being perpendicular to the end... | |
| Tobias Ostrander - Measurement - 1833 - 159 pages
...+ chains. OP THE CHORD. A.ro A chord is a straight line which joins the two extremities of an arc. **The versed sine of an arc is that part of the diameter** contained between the chord and the arc. PROBLEM VIII. The chord and versed sine given, to find the... | |
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