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" Any angle is greater than the difference between 180° and the sum of the other two angles. "
Surveying and Navigation, with a Preliminary Treatise on Trigonometry and ... - Pàgina 144
per Aaron Schuyler - 1873 - 490 pàgines
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Plane and Spherical Trigonometry

Henry Nathan Wheeler - 1876 - 204 pàgines
...two. k. The sum of the sides is less than 360°. L The sum of the angles is greater than 180°. m. Each angle is greater than the difference between 180° and the sum of the other two angles. n. A side which differs more from 90° than another side is in the same quadrant as its...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1876 - 204 pàgines
...is greater than 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...
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Plane and Spherical Trigonometry

Henry Nathan Wheeler - 1876 - 254 pàgines
...of the sides is less than 360°. I. The sum of the angles is greater than 180°. »i. Each ¡ingle is greater than the difference between 180° and the sum of the other two angles. n. A side which differs more from 90° than another side is in the same quadrant as its...
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A Treatise on Trigonometry by Profs. Oliver, Wait and Jones

Cornell University. Department of Mathematics - 1881 - 120 pàgines
...of the three angles 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...
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A Treatise on Trigonometry

James Edward Oliver - 1881 - 140 pàgines
...of the three angles 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...
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A Practical Text-book on Plane and Spherical Trigonometry

Webster Wells - 1883 - 298 pàgines
...Б=180°-6', <7 =180°- c', ^'=180°- a, Б'=180°-6, С"=180°-c. (t) . 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...
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The Elements of Geometry

Webster Wells - 1886 - 392 pàgines
...angles, or 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...
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Elements of Plane and Spherical Trigonometry: With Numerous Examples

Edward Albert Bowser - 1894 - 206 pàgines
...the three sides lies 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...
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A Treatise on Plane and Spherical Trigonometry: And Its Applications to ...

Edward Albert Bowser - 1892 - 392 pàgines
...the three sides lies 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...
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Plane and Spherical Trigonometry

Alfred Hix Welsh - 1894 - 228 pàgines
...of the three angles 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...
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