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" If the angle be greater than 90°, we have only to subtract it from 180°, and take the sine, cosine, tangent, or cotangent of the remainder. The secants and cosecants are omitted in the table, being easily found from the cosines and sines. "
A Table of Logarithms: Of Logarithmic Sines, and a Traverse Table - Page 11
1836 - 177 pages
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Elements of Surveying

Charles Davies - Surveying - 1830 - 390 pages
...subtract it from 180°, and take the sine, cosine, tangent, or cotangent of the remaii.der (39). 52. The secants and cosecants are omitted in the table, being easily found from the cosines and sines. Ra For, sec.= (37;; or, taking the logarithms: Iog.sec.=21og. cos. R — log. cos.=20 — log. cos;...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1833 - 436 pages
...angle, found by taking the corresponding degrees at the bottom of the page, and the minutes traced up in the right-hand column to the same horizontal...sec. = ; or, taking the logarithms, log. sec. = 2 log. R — log. cos. =20 — log. cos.; that is, the logarithmic secant is found by subtracting the...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...only to subtract it from 180°, and take the sine, cosine, tangent, or cotangent of the remainder. The secants and cosecants are omitted in the table, being easily found from the cosines and sines. R 2 For, sec. = ; or, taking the logarithms, log. sec.=i2 cos. log. R — log. cos. =20 — log. cos....
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1837 - 376 pages
...only to subtract it from 180°, and take the sine, cosine, tangent, or cotangent of the remainder. The secants and cosecants are omitted in the table,...sines. R2 For, sec.= ; or, taking the logarithms, log. sec.=2 cos. log. R — log. cos. =20 — -log. cos. ; that is, the logarithmic secant is found by substracling...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1838 - 372 pages
...only to subtract it from 180°, and take the sine, cosine, tangent, or cotangent of the remainder. The secants and cosecants are omitted in the table,...cos. ; that is, the logarithmic secant is found by substracting the logarithmic cosine from 20. And R3 cosec. = , or log. cosec.=2 log. R — log. sine...
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Elements of Geometry and Trigonometry

Geometry - 1843 - 376 pages
...The secants and cosecants are omitted in the table, being easily found from the cosines and sines. D2 For, sec. = ; or, taking the logarithms, log. sec....cos. ; that is, the logarithmic secant is found by substracting the logarithmic cosine from 20. And R2 cosec. = , or log. cosec.=2 log. R — log. sine...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...only to subtract it from 180°, and take the sine, cosine, tangent, or cotangent of the remainder. The secants and cosecants are omitted in the table, being easily found from the cosines and sines. For, sec. = ; or, taking the logarithms, log. sec.=2 • R 2 R* cos. log. R—log. cos.—20—log....
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Elias Loomis - Trigonometry - 1855 - 192 pages
...R—log. cosine =20—log. cosine. Ti' Also, cosecant = -—, sine or log. cosecant =20—log. sine. That is, The logarithmic secant is found by subtracting the logarithmic cosine from 20; and the logarithmic cosecant is found by subtracting the logarithmic sine from 20. Thtfs .we have found...
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1856 - 460 pages
...A=20. Hence, log. sec. A = 20 —log. cos. A, log. cosec. A = 20 —log. sin. A. From this we see that The logarithmic secant is found by subtracting the logarithmic cosine from 20 ; and the logarithmic cosecant is found by subtracting the logarithmic sine from 20. EXAMPLES. <*....
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Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten ...

Elias Loomis - Logarithms - 1859 - 372 pages
...log. cosine =20— log. cosine. T>2 Also, cosecant = - — , sine or log. cosecant =20— log. sine. That is, The logarithmic secant is found by subtracting the logarithmic cosine from 20 ; and the logarithmic cosecant is found by subtracting the logarithmic sine from 20. Thus we have found...
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