| James Hann - 1854 - 119 páginas
...+ b tan By Art. 19, —jjHence the following rule : As the sum of any two sides of a plane triangle **is to their difference, so is the tangent of half the sum of** their opposite angles to the tangent of half their difference. By Art. 16, .-. a2 - o2 = c2 - 2bc cos... | |
| Allan Menzies - 1854
...be given, then rule is, — Sum of the two sides (containing given angle) is to their difference as **the tangent of half the sum of the angles at the base** is to the tangent of half their difference ; half the sum = ^ (180 — angle C), then having found... | |
| John Radford Young - 1855
...and this 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... | |
| William Somerville Orr - 1856
...difference. The following, therefore, is the rule :— ROLE. — As the sum of the two given sidee **Is to their difference, So is the tangent of half the sum of the** opposite angles To the tangent of half their difference. The half difference of the unknown angles... | |
| Peter Nicholson - 1856
...TRIGONOMETRY. — THEOREM 2. 151. The sum of the two sides of a triangle is to their difference as **the tangent of half the sum of the angles at the base** is to the tangent of half their difference. Let ABC be a triangle 4 then, of the two sides, CA and... | |
| W. Davis Haskoll - 1858 - 324 páginas
...When the three given parts are two sides and the included angle. — 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. In the triangle ABC, AB = 345, and BC = 174,... | |
| Euclides - 1860
...of half their difference. 13. The base of a triangle is to the difference of its sides, as the sine **of half the sum of the angles at the base to the** sine of half their difference. 14. The base of a triangle is to the difference of its segments, as... | |
| Alfred Wilks Drayson - 1861 - 192 páginas
...proceed as follows : — Suppose AB, BC, known, and the angle ABC. Then as the sum of the two sides **Is to their difference, So is the tangent of half the sum of the** two unknown angles To the tangent of half their difference. Half their difference thus found, added... | |
| War office - 1861 - 12 páginas
...triangle, calling one side the base, prove that the sum of the other two sides is to their difference as **the tangent of half the sum of the angles at the base** is to the tangent of half their difference. 6. Observers on two ships a mile apart find the angles... | |
| William Thomas Read - 1862
...angle, to find the rest. Proposition HI. may here be written as a rule. " As the sum of the 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. And the half difference added to half the... | |
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