| James Edward Oliver - 1881 - 102 páginas
...negative direction from the origin used. Tнм. 2. In any plane triangle, the sum of any two sides **is to their difference as the tangent of half the sum of the two** opposite angles is to the tangent of half their difference : 106] ie, (a + b) : (a~&) = tan¿(A + B)... | |
| 1883
...logarithm of a number having four places. 5. Show that in any plane triangle the sum of any two sides **is to their difference as the tangent of half the sum of the** opposite angles is to the tangent of half their difference. GENERAL HISTORY. 2. What colonies were... | |
| Webster Wells - 1883
...c = sin A : sтБ : sin С abc or, sin A sin Б sin Q 145. In any triangle the sum of any two sides **is to their difference as the tangent of half the sum of the** opposite angles is to the tangent of half their difference. By Art. 144, a : b = sin Л : sin B Whence,... | |
| William Hamilton Richards - 1883 - 226 páginas
...two sides and the contained angle are known, and the third side is required. The sum of the two sides **is to their difference, as the tangent of half the sum of the** angles at the base, to the tangent of half their difference. Let the known sides be / 1076-53 and e... | |
| Charles Davies, Adrien Marie Legendre - 1885 - 512 páginas
...principle, now to be demonstrated, viz. : In any plane triangle, the sum of the sides including any angle, **is to their difference, as the tangent of half the sum of the two** other angles, is to the tangent of half their difference. Let ABC represent any plane triangle, c and... | |
| Great Britain. Education Department. Department of Science and Art - 1886
...10°, a = 23087, b = 7903.2. (25.) 37. Prove geometrically that the sum of two sides of a triangle **is to their difference as the tangent of half the sum of the** opposite angles is to the tangent of half their difference. In a triangle ABC, given a = 3, b = 5,... | |
| De Volson Wood - 1887
...'-ftThis reduced by (66) gives __ 0-6 tan | (1-5)' that is, The sum of two sides of a plane triangle **is to their difference, as the tangent of half the sum of the** angles opposite is to the tangent of half their difference. Toßnd A + Б we "have A + Б = 180° -... | |
| Webster Wells - 1887 - 103 páginas
...more compactly as follows: ab с sin , I sin Б sin С 114. In any triangle, the sum of any two sides **is to their difference as the tangent of half the sum of the** opposite angles is to the tangent of half their difference. Formula (45) of Art. 113 may be put in... | |
| Webster Wells - 1887 - 151 páginas
...expressed more compactly as follows : , sin Л sin B sin (' 114. In any triangle, the sum of any two sides **is to their difference as the tangent of half the sum of the** opposite angles is to the tangent of half their difference. Formula (45) of Art. 113 may be put in... | |
| Bennett Hooper Brough - 1888 - 302 páginas
...is required to find the two other angles, and the third side. In this case, the sum of the two sides **is to their difference, as the tangent of half the sum of the two unknown angles** is to the tangent of half their difference. Half their difference thus found, added to half their sum... | |
| |