 | Charles Davies - Surveying - 1839 - 376 pages
...secant. But FH is the sine of the arc GF, which is the supplement of AF, and OH is its cosine : hence, the sine of an arc is equal to the sine 'of its supplement ; and the cosine of an arc is equal to the cosine of its supplement.* Furthermore, AQis the tangent... | |
 | Charles Davies - Surveying - 1839 - 376 pages
...But FH is the sine of the arc GF, which is the supplement of AF, and OH is its cosine : hence, tile sine of an arc is equal to the sine of its supplement ; and the cosine of fen arc is equal to the cosine of its supplement.* Furthermore, AQ is the tangent... | |
 | Charles Davies - Navigation - 1841 - 414 pages
...secant. But FH is the sine of the arc GF, which is the supplement of AF, and OH is its cosine : hence, the sine of an arc is equal to the sine of its supplement ; and .the cosine of an arc is equal to the cosine of its supplement.* Furthermore, AQ is the tangent... | |
 | Charles William Hackley - Trigonometry - 1851 - 524 pages
...45° 13' 55" and 180° — B — c= 112° 9' 5" — angle A required. It must be observed that 9*85123 is also the log. sine of the supplement of 45° 13'...exhibited in the diagram. This case corresponds to Problem 8, Geom. If the given angle were right or obtuse, there could be but one solution, and the required... | |
 | Charles William Hackley - Trigonometry - 1851 - 536 pages
...arcs, then, which are supplements of each other, have the same sine, or, as it is sometimes expressed, the sine of an arc is equal to the sine of its supplement. If a represent an arc of any number of degrees, the notation employed to express the sine of that arc... | |
 | James Elliot - 1851 - 162 pages
...co-versed-sine HG, the cotangent GI, and the cosecant 01, occupy the places shown in the annexed diagram. COR. The sine of an arc is equal to the sine of its supplement. EXERCISE. What is the sine of 30°; what, of 150°; what, of 60° ; and what, of 120° ; the radius... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...secant. But FH is the sine of the arc Gf\ which is the supplement of *AF, and OH is its cosine ; hence, the sine of an arc is equal to the sine of its supplement / and the cosine of an arc is equal to the cosine of its supplement* Furthermore, AQ is the tangent... | |
 | Charles Davies - Navigation - 1854 - 446 pages
...secant. But FH is the sine of the arc GF, which is the supplement of AF, and OH is its cosine ; hence, the sine of an arc is equal to the. sine of its supplement ; and the cosine of an arc is equal to the cosine of its supplement* Furthermore, AQ is the tangent... | |
 | John Radford Young - 1855 - 218 pages
...the supplement of BC, and C'B' tbe supplement of BC'. A glance at the figure suffices to show that the sine of an arc is equal to the sine of its supplement ; thus, if BC=BC', then BC+ .B<7=180°, and, therefore, BC' is the supplement of BC; and Cm=C'm!. The... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...secant. But FH is the sine of the arc Gt\ which is the supplement of AF, and OH is its cosine : hence, the sine of an arc is equal to the sine of its supplement ; and the cosine of an <1rc is equal to the cosine of its supplement* Furthermore, AQ is the tangent... | |
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FH is the sine of the arc GF, which is the supplement of AF, and OH is its cosine ; hence, the sine of an arc is equal to the. sine of its supplement ; and the cosine of an arc is equal to the cosine of its supplement* Furthermore... 
