 | James Atkinson - 1765 - 504 sider
...nor any Angle god. Note i. In every Spheric Triangle, each Side is Jefs than a Semi-circle, or 1 80 Degrees. 2. The Sum of any two Sides is greater than...third Side. 3. The three Sides added together, their Sum is lefs than 360 Degrees. 4. The Sum of the three Angles is ever more than two Right Angles, or... | |
 | John Bonnycastle - 1806 - 464 sider
...180°. 2. The greater side is opposite to the greater angle, and the less side to the less angle. 3. The sum of any two sides is greater than the third side ; and their difference is less than the third side. 4. The difference of any two sides is less than... | |
 | Francis Nichols - 1811 - 162 sider
...quadrants. 26. The greater side is opposite to the greater angle, and the less side to the less angle. 27. The sum of any two sides is greater than the third side, and their difference is less than the third side. 28. The difference of any two sides is less than... | |
 | Peter Nicholson - 1825 - 1046 sider
...one above, and the other below the center of the spheie. But we know that in any right-lined triangle the sum of any two sides is greater than the third side. Therefore in any spherical triangle ABC, the sum of any two arcs is also 'greater than the third arc... | |
 | Charles Brooke - 1829 - 386 sider
...sum of the three sides is always < 360°. The sum of the three angles is always > 180°, and < 540°. The sum of any two sides is greater than the third side. The angles at the base of an isosceles spherical triangle aré equal ; and conversely. The greater... | |
 | James Hann - 1849 - 82 sider
...will be accordingly all less than 90°, all equal to 90°, or all greater than 00°, and vice versa. The sum of any two sides is greater than the third side, and their difference is less than the third side. The sum of any two angles is greater than the supplement... | |
 | H. C. Godwin - 1890 - 396 sider
...(5) The greater angle is always opposite the greater side. No angle or side is greater than 180°. The sum of any two sides is greater than the third side. The sum of the three sides is less than 360°. Given a, b, and C, to find A and B ; use Eqs. 2a and... | |
 | George Bruce Halsted - 1896 - 208 sider
...less than the third side. AB - BC < AC; .: AB < AC+BC. Therefore : 227. Theorem. In every triangle the sum of any two sides is greater than the third side. CHAPTER X. POLYGONS. 228. A number of sects, the second beginning at the end point of the first, the... | |
 | Thomas Ulvan Taylor, Charles Puryear - 1902 - 248 sider
...geometry. In any spherical triangle 1. The greater side is opposite the greater angle, and conversely. 2. The sum of any two sides is greater than the third side. 115 3. The sum of the sides is less than 360°. 4. The sum of the angles is greater than 180° and... | |
 | James Morford Taylor - 1905 - 256 sider
...The sum of the sides is less than 360°, and the sum of the angles lies between 180° and 540°. IV. The sum of any two sides is greater than the third side. NOTE. The three following principles are often useful in determining the relation of an unknown part... | |
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We infer from this that a triangle can be constructed with three given lines as sides, when the sum of any two sides is greater than the third side. 
