 | 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.... | |
 | 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,... | |
 | Jeremiah Day - Measurement - 1815 - 388 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 - 276 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... | |
 | Charles Hutton - Mathematics - 1822 - 680 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 'he sine. The COTANGENT,... | |
 | Thomas Keith - Navigation - 1826 - 504 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 - 256 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 - 418 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 - 520 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 - 290 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... | |
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The tangent of an arc is a right line touching the circumference, and drawn perpendicular to the diameter ; and is terminated by a line drawn from the centre through the other end of the arc ; thus BK is the tangent of the arc BH. 
