 | Euclides - 1821 - 294 σελίδες
...to one 'another they are acute. PROP. 18, THEOR. In any triangle if one side be greater than another the angle opposite the greater side is greater than the angle opposite the less. Il part cut off with the opposite angle. This connecting line will cut off from the angle opposite... | |
 | Euclides - 1856 - 168 σελίδες
...the two AB, AC, is greater than the other. But in a triangle having one side greater than another, the angle opposite the greater side is greater than the angle opposite the less ; and in the triangle ABC the angle ABC is greater than ACB ; therefore the angle ABC is opposite the... | |
 | Isaac Todhunter - 1859 - 156 σελίδες
...BC; that is, AC is greater than BC. 36. If one side of a spherical triangle be greater than another, the angle opposite the greater side is greater than the angle opposite the other. This follows from the preceding Article by means of the polar triangle. Or thus; suppose the... | |
 | Isaac Todhunter - 1863 - 182 σελίδες
...BC; that is, AC is greater than BC. 36. If one side of a spherical triangle be greater than another, the angle opposite the greater side is greater than the angle opposite the other. This follows from the preceding Article by means of the polar triangle. Or thus; suppose the... | |
 | Richard Wormell - 1868 - 286 σελίδες
...When two angles of a triangle are unequal,Mhe greater side is opposite the greater angle. E 5. When two sides of a triangle are unequal, the angle opposite the greater is greater than that opposite the less. 6. An equilateral triangle is equiangular. 7. An equiangular... | |
 | Richard Wormell - 1870 - 304 σελίδες
...When two angles of a triangle are unequal, the greater side is opposite the greater angle. 5. When two sides of a triangle are unequal, the angle opposite the greater is greater than that opposite the less. 6. An equilateral triangle is equiangular. 7. An equiangular... | |
 | Euclid, Charles Peter Mason - 1872 - 216 σελίδες
...one of the two /_s fixed upon. PBOPOSITION XVIII. If one side of a triangle be greater than another, the angle opposite the greater side is greater than the angle opposite the less.* For the construction requisite in this proposition, we must he able, — . 1. From the greater of two... | |
 | 1875 - 398 σελίδες
...diagonals of a quadrilateral bisect each other the figure is a parallelogram. 5. PROPOSITION. When two sides of a triangle are unequal, the angle opposite...greater side is greater than the angle opposite the less side. 6. PROPOSITION. A spherical polygon is always within the surface of a hemisphere. 7. PROPOSITION.... | |
 | William Alexander Willock - 1875 - 196 σελίδες
...of Sides respectively Equal, and the Third Side in one is Greater than the third side in the other, the Angle Opposite the greater side is greater than the angle opposite the less. The next subject is that of the Parallelogram, which is a case of two equal triangles reversed on opposite... | |
 | Richard Wormell - 1876 - 268 σελίδες
...follow :— THEOREM X. ffypoiftesi's.— ""Wben in a triangle two sides are unequal," Сonclusion — " The angle opposite the greater side is greater than the angle opposite the less." THEOREM XI. (The converse of Theorem X.) Hypothesis. — "When two angles of a triangle are unequal,"... | |
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Prove that, if two sides of a triangle are unequal, the angle opposite the greater side is greater than the angle opposite the less. 
