 | Edwin Pliny Seaver - Trigonometry - 1889 - 306 pages
...modulus. Formula [117] .... 131, 132 179-181. The sum of two sides of a triangle to their difference as the tangent of half the sum of the opposite angles to the tangent of half their, difference. Analytic proof. Geometric proof. Ratio of the sum and of the difference of two sides to the third side.... | |
 | Daniel Kinnear Clark - Engineering - 1889 - 1030 pages
...two sides and the included angle are given. RULE 4. To find the other side: — as the sum of the two given sides is to their difference, so is the tangent of half the sum of their opposite angles to the tangent of half their difference — add this half difference to the half... | |
 | William Findlay Shunk - Railroad engineering - 1890 - 360 pages
...angle from 180°; the remainder will be the sum of the other two angles. Then, by proposition 3, — As the sum of the given sides is to their difference, So is the tangent of half the sum of the remaining angle« to the tangent of half their difference!. Half the sum of the remaining angles added... | |
 | William Findlay Shunk - Railroad engineering - 1908 - 386 pages
...angle from 180c; the remainder will be the sum of the other two angles. Then, by proposition 3, — As the sum of the given sides is to their difference, So is the tangent of half the sum of the remaining angles to the tangent of half their difference. Half the sum of the remaining angles added... | |
 | William Miller Barr - Engineering - 1918 - 650 pages
...When two sides and the included angle are given. Rule 4. To find the other side: as the sum of the two given sides is to their difference, so is the tangent of half the sum of their opposite angles to the tangent of half their difference — add this half difference to the half... | |
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TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE. 
