| John Radford Young - Astronomy - 1833 - 286 pages
...part. Of the Sine. (5.) The sine of an arc or of the angle which it measures, is the perpendicular, from one extremity of the arc, upon the diameter passing through the other extremity: thus CS is the sine of the arc BC; C, S, is the sine of the arc BC,; C4 S2 is the sine of the arc BC2;... | |
| Charles William Hackley - Trigonometry - 1838 - 338 pages
...trigonometrical lines, we now proceed to explain the nature and properties. THE SINE. 14. The sine of an arc is a perpendicular let fall from one extremity of the arc upon the diameter drawn through the other extremity. Thus the line MP is the sine of the arc AM. The same line MP is... | |
| George Clinton Whitlock - Mathematics - 1848 - 338 pages
...complementary arcs. Def. 2. The perpendicular BX is called the sine of the arc AB. Hence the sine of an arc is the perpendicular let fall from one extremity of...upon the diameter passing through the other extremity of the same arc. Def. 3. AT is the tangent of AB. Def. 4. ОТ is the secant of AB. Def. 5. BY (= OX)... | |
| John Radford Young - Nautical astronomy - 1848 - 412 pages
...part. Of ihe Sine. (5.) The sine of an arc or of the angle which it measures, is the perpendicular, from one extremity of the arc, upon the diameter passing through the other eitremity : thus CS is the sine of the arc BC ; Ci Si is the sine of the arc BCi; Ca Sa is the sine... | |
| Thomas Tate (mathematical master.) - 1848 - 284 pages
...BG the versed sine. Hence the following definition will be readily understood ; the sine of an arc is the perpendicular let fall from one extremity of the arc upon the radius passing through the other extremity ; and the cosine is the distance from the centre to the... | |
| Charles William Hackley - Trigonometry - 1851 - 524 pages
...trigonometrical lines, we now proceed to explain the nature and properties. THE SINE. 14. The sine of an arc is a perpendicular let fall from one extremity of the arc upon the diameter drawn through the other extremity. Thus the line MP is the sine of the arc AM. The same line MP is... | |
| William Chauvenet - Trigonometry - 1855 - 264 pages
...circle whose radius is unity, the sine of an arc, or of the angle at the center measured by; that arc, is the perpendicular let fall from one extremity of...diameter passing through the other extremity. The trigonometric tangent is that part of the tangent drawn at one extremity of the arc, which is intercepted... | |
| Benjamin Greenleaf - Geometry - 1862 - 532 pages
...in the circle whose radius is unity ; — The SINE of an arc, or of the angle measured by that arc, is the perpendicular let fall from one extremity of...extremity. The COSINE is the distance from the centre to the foot of the sine. The trigonometric TANGENT is that part of the tangent touching one extremity... | |
| Benjamin Greenleaf - Geometry - 1862 - 518 pages
...unity ; — The SINE of an arc, or of the angle measured by that arc, is the perpendicular let fail from one extremity of the arc, upon the diameter passing...extremity. The COSINE is the distance from the centre to the foot of the sine. ' The trigonometric TANGENT is that part of the tangent touching one extremity... | |
| Benjamin Greenleaf - Geometry - 1861 - 638 pages
...circle whose radius is unity ; — The SINE of an arc, or of the angle measured by that arc, is (he perpendicular let fall from one extremity of the arc,...diameter passing through the other extremity. The COSINE M the distance, from Hie centre to the foot of the sine. The trigonometric TANGENT is that part of... | |
| |