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" ... to the tangent of the angle adjacent to the first side. CASE 3. — When the three sides are given. RULE 6. To find an angle. Subtract the sum of the logarithms of the sides which contain the required angle, from 20; to the remainder add the logarithm... "
Practical military surveying and sketching - Page 144
by Alfred Wilks Drayson - 1861 - 192 pages
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Mathematical Tables;: Containing the Common, Hyperbolic, and Logistic ...

Charles Hutton - Mathematics - 1811 - 574 pages
...angles. Add the three sides together, and take half the sum ; also the difference between the half-sum and the side opposite to the angle sought. Then add...the sines, of the other sides, to the sines of the half-sum and of the said difference; half the sum of these four logarithms is the cosine of half the...
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The Complete Mathematical and General Navigation Tables: Including ..., Volume 1

Thomas Kerigan - Nautical astronomy - 1828 - 776 pages
...SpJierical Triangle, to find the Angles. RULE. Add the three sides together and take half their sum ; find the difference between this half sum and the side opposite to the required angle, which call the remainder ; then, To the log. co-secants, less radius, of the other...
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Mathematical Tables: Containing the Common, Hyperbolic, and Logistic ...

Charles Hutton - Logarithms - 1834 - 466 pages
...angles. Add the three sides together, and take half the sum ; also the difference between the half-sum and the side opposite to the angle sought. Then add...the sines, of the other sides, to the sines of the half-sum and of the said difference; half the sum of these four logarithms is the cosine of half the...
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The Complete Mathematical and General Navigation Tables: Including Every ...

Thomas Kerigan - Nautical astronomy - 1838 - 804 pages
...Spherical Triangle, tofind the Angles. RULE. Add the three sides together and take half their sum ; find the difference between this half sum and the side opposite to the required angle, which call the remainder ; then, To the log. co-secants, less radius, of the other...
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Mathematical Tables: Containing the Common, Hyperbolic, and Logistic ...

Charles Hutton - Logarithms - 1842 - 450 pages
...angles. Add the three sides together, and take half the sum ; also the difference between the half-sum and the side opposite to the angle sought. Then add...the sines, of the other sides, to the sines of the half-sum and of the said difference ; half the sum of these four logarithms is the cosine of half the...
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Manual of Rules, Tables & Data for Mechanical Engineers ...

Daniel Kinnear Clark - Engineering - 1878 - 1064 pages
...angle, from 20; to the remainder add the logarithm of half the sum of the three sides, and that of the difference between this half sum and the side opposite to the required angle. Half the sum of these three logarithms will be the logarithmic cosine of half the required...
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Manual of Rules, Tables, and Data for Mechanical Engineers: Based on the ...

Daniel Kinnear Clark - Engineering - 1889 - 1020 pages
...angle, from 20; to the remainder add the logarithm of half the sum of the three sides, and that of the difference between this half sum and the side opposite to the required angle. Half the sum of these three logarithms will be the logarithmic cosine of half the required...
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Industrial Engineering: A Handbook of Useful Information for ..., Volume 1

William Miller Barr - Engineering - 1918 - 650 pages
...angle from 20, and to the remainder add the logarithm of half the sum of the three sides, and that of the difference between this half sum and the side opposite to the required angle. Half the sum of these three logarithms will be the logarithmic cosine of half the required...
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