 | Benjamin Greenleaf - Trigonometry - 1876 - 208 pages
...180°. IV. The greater side is opposite the greater angle, and conversely. .V. Any angle is greater than the difference between 180° and the sum of the other two angles. VI. A side which differs more from 90° than another side, is of the same species as its opposite angle.... | |
 | Cornell University. Department of Mathematics - 1881 - 122 pages
...lies between 180° aud 540°. Each side is less than the sum of the other two. Each angle is greater than the difference between 180° and the sum of the other two. Of any two unequal sides, the greater lies opposite the greater angle ; and conversely. Each side or... | |
 | James Edward Oliver - Trigonometry - 1881 - 120 pages
...lies between 180° and 540°. Each side is less than the sum of the other two. Each angle is greater than the difference between 180° and the sum of the other two. Of any two unequal sides, the greater lies opposite the greater angle ; and conversely. Each side or... | |
 | Webster Wells - Trigonometry - 1883 - 234 pages
...-с1, А'=Ш°-а, Б'=180°-Ь, С"=180°-с. (г) . Either angle of a spherical triangle is greater than the difference between 180° and the sum of the other two angles. 187. A spherical triangle is called right, bi-rectangular, or tri-rectangular, according as it has... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...one, two, or three obtuse angles. 671. COROLLARY II. Either angle of a spherical triangle is greater than the difference between 180° and the sum of the other two angles. For since A + B + C > 180° (§ 668) , we have A>180°-(B+C); which proves the theorem when B+C< 180°.... | |
 | Edward Albert Bowser - Trigonometry - 1892 - 202 pages
...between 0° and 360°. The sum of the three angles lies between 180° and 540°. Each angle is greater than the difference between 180° and the sum of the other two. If two sides are equal, the angles opposite them are equal ; and conversely. If two sides are unequal,... | |
 | Edward Albert Bowser - Trigonometry - 1892 - 392 pages
...between 0° and 360°. The sum of the three angles lies between 180° and 540°. Each angle is greater than the difference between 180° and the sum of the other two. If two sides are equal, the angles opposite them are equal ; and conversely. If two sides are unequal,... | |
 | Alfred Hix Welsh - Plane trigonometry - 1894 - 230 pages
...lies between 180° and 540°. Each side is less than the sum of the other two. Each angle is greater than the difference between 180° and the sum of the other two. Of any two unequal sides, the greater lies opposite the greater angle ; and conversely. Each side or... | |
 | William Chauvenet - Geometry - 1896 - 274 pages
...sides is less than 360°. IV. The sum of the angles is greater than 180°. V. Each angle is greater than the difference between 180° and the sum of the other two angles. For, by IV., A + В + C> 180° whence, A > 180° — (B + 0) But if В + C> 180°, we have, in the... | |
 | New York (State). Legislature. Senate - Government publications - 1897 - 1304 pages
...quadrantal triangle, Napier's circular parts. 2 Prove that each angle of a spheric triangle is greater than the difference between 180° and the sum of the other two angles. 3 Prove that the hypotenuse of a right spheric triangle is less than 90° only when both the other... | |
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Any angle is greater than the difference between 180° and the sum of the other two angles. 
