| Nathaniel Bowditch - 1846 - 864 pages
...angles. Thus, in the triangle ABC, if we call AB the base, it will l>e, As the sum of AC and CB is to **their difference, so is the tangent of half the sum of the** angles ABC, ВАС, to the tangent of half their dinerence. DH Dem. With the longest leg, CB, as radius,... | |
| Jeremiah Day - Logarithms - 1848 - 354 pages
...other radius. (Art. 119.) THEOREM II. 144. In a plane triangle, As THE SUM OF ANY TWO OF THE SIDES, TO **THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE** OPPOSITE ANGLES ; TO THE TANGENT OF HALF THEIR DIFFERENCE. Thus, the sum of AB and AC, is to their... | |
| James Elliot - 1851 - 162 pages
...remainder will be the sum of the two required angles. Then say,— As the sum of the two given sides is to **their difference, so is the tangent of half the sum of the two** required angles, to the tangent of half their difference. Having found the said half difference, add... | |
| Alexander Ingram - 1851 - 204 pages
...take half the remainder, to get half the sum of the unknown angles. Then as the sum of the sides is to **their difference, so is the tangent of half the sum of the** unknown angles to the tangent of half their difference (Theor. 4. Trig.) Having thus found the half... | |
| Sir Henry Edward Landor Thuillier - Surveying - 1851 - 828 pages
...them, to find the other two angles and the third side. RULE. As the sum of the two given sides, is to **their difference, so is, the Tangent of half the sum of the** unknown angles, to the Tangent of half their difference. Half the difference thus found added to half... | |
| Jeremiah Day - Geometry - 1851 - 418 pages
...other radius. (Art. 119.) THEOREM II. 144. In a plane triangle, As THE SUM OF ANY TWO OF THE SIDES, TO **THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE** OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE. Thus, the sum of AB and AC, (Fig. 25.) is... | |
| John William Norie - Nautical astronomy - 1852 - 848 pages
...When two Sides and the Angle contained between them are given. As the sum of the two given sides Is to **their difference, So is the tangent of half the sum of the** unknown angles To the tangent of half their difference : This half difference added to half the sum... | |
| Jeremiah Day - Mathematics - 1853 - 288 pages
...(Art. 119.) ff THEOREM II. /? 144. In a plane triangle, \. As THE SU^I OF ANY TWO OF THE SIDES, To **THEIR DIFFERENCE ] So IS THE TANGENT OF HALF THE SUM OF THE** OPPOSITK ANGLKS; To THE TANGENT OF HALF THEIR DIFFERENCE. Thus, the sum of AB and AC, (Fig. 25.) is... | |
| Andrew Duncan (Surveyor) - Surveying - 1854 - 156 pages
...included angle are given to find the other angles and side. RULE. — As the sum of the sides is to **their difference so is the tangent of half the sum of the** opposite angles to the tangent of half the difference ; this half difference added to half the sum... | |
| John Radford YOUNG - 1855 - 218 pages
...proportion expressed in words is the following rule. RULE. As the sum of the two given sides is to **their difference, so is the tangent of half the sum of the** opposite angles to the tangent of half their difference. that is 0-6 (1) Two sides of a triangle are... | |
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