 | Samuel Alsop - Surveying - 1865 - 440 pages
...diameter through the other extremity. BF (Fig. 32) is the sine of AB or of EB, and BL of BD. NOTE.—The sine of an arc is equal to the sine of its supplement. The cosine of an arc is the line intercepted between the foot of the sine and the centre. CF is the... | |
 | Lefébure de Fourcy (M., Louis Etienne) - Trigonometry - 1868 - 350 pages
...Calling S the difference, we shall have s= 180о — }j( s — a= 180° — (a + }í), &c.; and since the sine of an arc is equal to the sine of its supplement, we may give the preceding formulae in the following form : 86 TRIGONOMETRY. Sin } A = Ч /si V sin... | |
 | Charles Davies - Leveling - 1871 - 448 pages
...secant. But FH is the sine of the arc GF, which is the supplement of AF, and Oil 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... | |
 | Aaron Schuyler - Measurement - 1864 - 506 pages
...T', the sine of the arc OT', is equal to MT, the sine of the arc OT, the supplement of OT'; hence, The sine of an arc is equal to the sine of its supplement. The sine of 0° is 0. As the arc increases from 0° to 90°, the sine increases from 0 to +1. As the... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...other ; and because MM' is parallel to AC, PM will be equal to P'M' (13. I., P. XXm.) : hence, tJie sine of an arc is equal to the sine of its supplement. D 27. The cosine of an arc is the sine of the complement of the arc. Thus, N~M is the cosine of AM,... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...supplements of each other ; and because MM is parallel to AC, PM is equal to P'M' (B. I, P. XXIII.) : hence, the sine of an arc is equal to the sine of its supplement. 27. The cosine of an arc is the sine of the complement of the arc, "complement sine" being contracted... | |
 | Edwin James Houston - Electrical engineering - 1889 - 684 pages
...is its sine. This is also the sine of BOA, or of BA, which is the supplement of TOG, or BEF G. Hence the sine of an arc is equal to the sine of its supplement. The same is true of the cosine. The Tangent of an angle, or arc, is a straight line touching the arc... | |
 | Alan Leo - Astrology - 1906 - 340 pages
...passing through the other extremity of it. Therefore, the sine of 90 degrees is the greatest possible. The sine of an arc is equal to the sine of its supplement.* The tangent of an arc is a straight line "touching" the circle at one extremity of the arc and meeting... | |
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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... 
