| 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... | |
| Abel Flint - Geometry - 1833 - 368 pages
...is plain that the sine of 90 degrees is the greatest possible sine, and is equal to the radius. 2^. The versed sine of an arc is that part of the diameter...circumference ; thus LB is the versed sine of the arc HB. Fig. 7. 23. The tangent of an arc is a right line touching the circumference, and drawn perpendicular to... | |
| Tobias Ostrander - Measurement - 1833 - 172 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... | |
| Tobias Ostrander - Measurement - 1834 - 182 pages
...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... | |
| Mathematics - 1836 - 488 pages
...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 - Geometry - 1838 - 416 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... | |
| Jeremiah Day - Geometry - 1839 - 434 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... | |
| Charles Waterhouse - Arithmetic - 1842 - 180 pages
...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 the circumference, and drawn perpendicular... | |
| Charles WATERHOUSE - Arithmetic - 1844 - 228 pages
...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. The tangent of an arc is a right line, which... | |
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