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" of the arithmetical complement of the log. cosine; subtract 10 from the index of the sum, and the remainder will be the logarithm of the number of seconds in the arc. 2. Let the log. tangent be given; then from the expression (3), last problem, we have "
Elements of Plane and Spherical Trigonometry: With Its Applications to the ... - Page 177
by John Radford Young - 1833 - 264 pages
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A Treatise of Plane Trigonometry: To which is Prefixed, a Summary View of ...

Jeremiah Day - Logarithms - 1815 - 172 pages
...one third of the arithmetical complement of the logarithmic cosine. The remainder diminished by 10, will be the logarithm of the number of seconds in the arc. To find a small arc from its logarithmic SINE. From the sum of the constant quantity 5.3144251, and...
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The Second [-fifth and Sixth] Part of A Course of Mathematics: Adapted to ...

Jeremiah Day - Geometry - 1824 - 440 pages
...one third of the arithmetical complement of the logarithmic cosine. The remainder diminished by 10, will be the logarithm of the number of seconds in the arc. Tojind a small arc from its logarithmic TANGENT. From the sum of the constant quantity 5.3144251, and...
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An Analytical Treatise on Plane and Spherical Trigonometry, and the Analysis ...

Dionysius Lardner - Plane trigonometry - 1828 - 434 pages
...From the logarithm of the number of square feet in the area subtract the constant number 9.3267737, and the remainder will be the logarithm of the number of seconds in the spherical excess." (298.) In this method of computing the spherical excess, it is necessary that the...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying

Jeremiah Day - Measurement - 1831 - 520 pages
...two thirds of the arithmetical complement of the logarithmic cosine. The remainder diminished by 10, will be the logarithm of the number of seconds in the arc. A TABLE OF NATURAL SINES AND TANGENTS; TO EVERT TEN MINUTES OF A DEGREE. IF the given angle is less...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying ...

Jeremiah Day - Measurement - 1831 - 394 pages
...one third of the arithmetical complement of the logarithmic cosine. The remainder diminished by 10, will be the logarithm of the number of seconds in the arc. Tofind a small arc from its logarithmic TANGENT. From the sum of the constant quantity 5.3144251, and...
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A Treatise of Plane Trigonometry: To which is Prefixed a Summary View of the ...

Jeremiah Day - Logarithms - 1831 - 418 pages
...two thirds of the arithmetical complement of the logarithmic cosine. The remainder diminished by 10, will be the logarithm of the number of seconds in the arc. From the sum of the constant quantity 5.3144251, and the For the demonstration of these rules, see...
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Mathematical Tables: Containing the Common, Hyperbolic, and Logistic ...

Charles Hutton - Logarithms - 1834 - 466 pages
...the arc from, the sine. To the given log. sine of a small arc 5-3144251, add ^ of arith. сотр. of the log. cosine: subtract 10 from the index of the sum, the remainder will be the log. of the number of seconds and decimals in the arc sought. 4. To find...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying ...

Jeremiah Day - Measurement - 1836 - 418 pages
...two thirds of the arithmetical complement of the logarithmic cosine. The remainder diminished by 10, will be the logarithm of the number of seconds in the arc. A TABLE OF NATURAL SINES AND TANGENTS; TO EVERY TEN MINUTES OF A DEGREE. IF the given angle is less...
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - Trigonometry - 1838 - 328 pages
...the arc from the log. sine the rule is this. T*o the log. sine of the small arc add 5.314425, and | of the arithmetical complement of the log. cosine...then from the expression (3), last problem, we have 28 log. n=log.tan x—4,685575—2 ar ithx;omp.log.cosr. =log.tan x + 5.314425—10—jarith.comp....
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - Trigonometry - 1838 - 338 pages
...the arc from the log. sine the rule is this. To the log. sine of the small arc add 5.314425, and f of the arithmetical complement of the log. cosine...arc. 2. Let the log. tangent be given ; then from the expres* sion (3), last problem, we have L log. n=log.lan x—4.685575—*arith.comp.log.cos:r. =log.tan...
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