| John Bonnycastle - Trigonometry - 1806 - 464 pages
...line drawn perpendicular to the diameter at the other end. Thus o E is the secant of AB, or of B a. The versed sine of an arc is that part of the diameter which lies between the beginning of the arc and the sine. Thus AD is the versed sine of AB, and D a is the... | |
| Robert Gibson - Surveying - 1806 - 486 pages
...quadrant becomes the sine of 90 degrees, or the fourth part of the circle, which is 360 degrees. 23. 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.... | |
| Robert Gibson - 1808 - 482 pages
...quadrant, becomes the sine of 9O degrees, or the fourth part of the circle, which is 360 degrees. 23. The versed sine of an arc is that par-t of the diameter that lies between the right sine and the circumference : thus LB is the versed sine of the arc HB.... | |
| Charles Hutton - Mathematics - 1811 - 424 pages
...the extremities of that arc and prolonged till it meets the tangent drawn from the other extremity. The VERSED SINE of an arc, is that part of the diameter of the circle which lies between the beginning of the arc and the foot of the sine. The COTANGENT,... | |
| Robert Gibson - Surveying - 1811 - 580 pages
...quadrant becomes the sine of 90 deg.ees, or the fourth part of the circle, which is 360 degiees. ^91. 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.... | |
| Charles Hutton - Mathematics - 1812 - 624 pages
...the extremities of thai arc and prolonged till it meets the tangent drawn from the other extremity. The VERSED SINE of an arc, is that part of the diameter of the circle which lies between the beginning of the arc and the foot of the sine. The COTANGENT,... | |
| John Gummere - Surveying - 1814 - 398 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, Fig. 31.... | |
| Charles Butler - Mathematics - 1814 - 528 pages
...with C, the co-sine CD will vanish. Hence also the sine or co-sine can never exceed the radius. 14. THE VERSED SINE of an arc, is that part of the diameter which is intercepted between the beginning of the arc and its sine. Ttius, DA is the versed sine of the arc... | |
| Robert Gibson - Surveying - 1814 - 558 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.... | |
| Jeremiah Day - Logarithms - 1815 - 172 pages
...diameter which passes through the other end. Thus BG (Fig. 3.) is the sine of the arc AG. For BG is a line drawn from the end G of the arc, perpendicular to the tliamcter AM which passes through the other end A of the arc. Cor. The sine is half the chord of double... | |
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