 | 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;... | |
 | John Martin Frederick Wright - Mathematics - 1836 - 698 pages
...It is not, however, founded on such obvious principles as the preceding method. 427. The sine of an arc is the perpendicular let fall from one extremity of the arc, lipón the diameter passing through the other. By the perpendiculars let fall from each extremity of... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...two angles, is always positive. GENERAL IDEAS RELATING TO TRIGONOMETRICAL LINES. V. The sine of an 'arc is the perpendicular let fall from one extremity of the arc, on the diameter which passes through the other extremity. Thus, MP is the sine of the arc AM, or of... | |
 | Charles Davies - Navigation - 1837 - 342 pages
...supplement of the arc AEF. The sum of an arc and its supplement is equal to 180°. 44. The sine of an arc is the perpendicular let fall from one extremity of the arc on the djameter which passes through the other extremity. Thus, BD is the sine of the arc AB. 45. The... | |
 | 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... | |
 | Charles Davies - Surveying - 1839 - 376 pages
...supplement of the arc AEF. The sum of an arc and its supplement is equal to 180°. 44. The sine of an arc is the perpendicular let fall from one extremity of the arc on the diameter which passes through the other extremity. Thus, BD is the sine of the arc AB. 45. The... | |
 | Charles Davies - Surveying - 1839 - 376 pages
...supplement of the arc AEF. The sum of an arc and its supplement is equal to 180°. 44. The sine of an arc is the perpendicular let fall from one extremity of the arc on the diameter which passes through the other extremity. Thus, BD is the sine of the arc AB. 45. The... | |
 | Charles Davies - Navigation - 1841 - 414 pages
...supplement of the arc AEF. The sum of an arc and its supplement is equal to 180°. 44. The sine of an arc is the perpendicular let fall from one extremity of the arc on the diameter which passes through the other extremity. Thus, BD is the sine of the arc AB. 45. The... | |
 | 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...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)... | |
 | George Clinton Whitlock - Mathematics - 1848 - 340 pages
...complementary arcs. Def. 2. The perpendicular BX is called the sine of the arc AB. Hence the sine of an drc 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. OT is the secant of AB. Def. 5. BY (= OX)... | |
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The sine of an arc is the perpendicular let fall from one extremity of the arc on the diameter which passes through the other extremity. 
