| Tobias Ostrander - Measurement - 1834 - 159 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... | |
| Abel Flint - Geometry - 1835 - 334 pages
...length till they come to the centre, and so become the radius, after which they diminish. — Hence it **is plain that the sine of 90 degrees is the greatest...circumference ; thus LB is the versed sine of the arc HB. Fig.** "I. 23. The tangent of an arc is a right line touching the circumference, and drawn perpendicular to... | |
| Mathematics - 1836 - 472 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... | |
| Abel Flint - Geometry - 1837 - 272 pages
...is plain that the sine of 90 degrees is the greatest possible sine, and is equal to the radius. 21. **The versed sine of an arc is that part of the diameter...thus LB is the versed sine of the arc HB, Fig. 7.** 22. The tangent of an arc is a right line touching the circumference, and drawn perpendicular to the... | |
| Abel Flint - Geometry - 1838 - 334 pages
...is plain that the sine of 90 degrees is the greatest possible sine, and is equal to the radius. 21. **The versed sine of an arc is that part of the diameter...circumference; thus LB is the versed sine of the arc HB, Fig.** 1. 22. The tangent of an arc is a right line touching the circumference, and drawn perpendicular to... | |
| Jeremiah Day - Geometry - 1838
...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 - 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... | |
| Charles Waterhouse - Arithmetic - 1842 - 166 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 - 12 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... | |
| Charles Waterhouse - Arithmetic - 1844 - 216 pages
...perpendicular to the radius or diameter, as o to I of the figure, when longer or shorter. 29. The vetted **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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