| Tobias Ostrander - 1834 - 182 sider
...2,8062 + chains. OP THE CHORD. 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 diameter of the circle.... | |
| Abel Flint - 1835 - 368 sider
...is plain that the sine of 90 degrees is the greatest possible sine, and is equal to the radius. 22. The versed sine of an arc is that part of the diameter or radius which is between the sine and the circumference ; thus LB is the versed sine of the arc HB.... | |
| 1836 - 488 sider
...perpendicular to the diameter which passes through the other end. The sine is half the chord of double the arc. The versed sine of an arc is that part of the. diameter which is between the sine and the arc. The tangent of an arc, is a straight line drawn perpendicular... | |
| Jeremiah Day - 1838 - 416 sider
...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 - 1839 - 434 sider
...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... | |
| Charles Waterhouse - 1842 - 180 sider
...increase in length till becoming radius, decreasing after. Hence, radius is the greatest possible sine. 6. The versed sine of an arc, is that part of the diameter or radius which is between the sine and circumference. 7. The tangent of an arc is a right line touching... | |
| Charles WATERHOUSE - 1844 - 228 sider
...arc, perpendicular to the radius or diameter, as o to I of the figure, when longer or shorter. 29. The versed sine of an arc, is that part of the diameter or radius, which is between the sine and circumference, as I to C of the figure in the margin. 30.... | |
| John Bonnycastle - 1848 - 320 sider
...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... | |
| Jeremiah Day - 1848 - 354 sider
...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... | |
| Almon Ticknor - 1849 - 156 sider
...radii drawn to its extremities. A semicircle is one-half of a circle. 20. The versed sine or height of an arc, is that part of the diameter contained between the middle of the chord and the arc, as DB=D E. Fig. 21. lone. 21. A zone is a part of a circle ineluded... | |
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