 | John Gummere - 1814 - 398 páginas
...subtracted from 180°, the remainder will be the third angle. 6. If one angle of a triangle be subtracted from 180°, the remainder will be the sum of the other two angles. 7. In right angled triangles, if one of the acute angles be subtracted from 90% the remainder will... | |
 | Olinthus Gregory - 1816 - 278 páginas
...two sides and the included angle are given. The solution is effected by means of chap. ii. prop. 15. Take the given angle from 180°, the remainder will be the sum of th£ other two angles. Then say, — As the sum of the given sides, Is to their difference ; So is... | |
 | 1821 - 708 páginas
...last article, the sum of all three angles is equal to two right angles or 180°, hence, by subtracting the given angle from 180°, the remainder will be the sum of the other two. In iny ri^ht angled triangle, the two acute angles taken together are just equal to a right angle :... | |
 | Olinthus Gregory - 1833 - 448 páginas
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 | James Elliot - 1851 - 162 páginas
...any Triangle, having given two Sides and the included Angle, to find the other Angles. RULE. Subtract the given angle from 180° : the 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... | |
 | Josiah Lyman - 1862 - 92 páginas
...subtracted from 180°, the remainder will be the third angle. And if one of the angles be subtracted from 180°, the remainder will be the sum of the other two angles. Hence, also, if the triangle be right angled, and one of the acute angles be subtracted from 90°,... | |
 | Olinthus Gregory - 1863 - 482 páginas
...angle are given, The solution may be effected by means of props. 15 and 16 of the preceding section. Thus: take the given angle from 180°, the remainder will be the sum of the other two angles. Then say, — As the sum of the given sides, Is to their difference ; So is the tangent of half the sum... | |
 | Samuel Alsop - 1865 - 440 páginas
...CASE 2. 140. Two sides and the included angle being given, to determine the rest. RULE 1. Subtract the given angle from 180° : the remainder will be the sum of the remaining angles. Then, As the sum of the given sides is to their difference, so is the tangent of... | |
 | William Findlay Shunk - 1880 - 362 páginas
...sum. • CASE II. 5. Wben two sides and the included angle are given, the solution may be effected by means of propositions 3 and 4. Thus, take the given...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... | |
 | 1880 - 880 páginas
...last article the sum of all three angles is equal to two right angles, or 180°; honre, by subtracting the given angle from 180°, the remainder will be the sum of the otlier two. In ant/ right-angled triangle, the two acute angles taken together are just equal to a... | |
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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. 
