| William Guy Peck - 1876 - 366 sider
...obtuse-angled ; if all the angles are acute, the triangle is acute-angled. PROPOSITION VI. THEOREM. TJie **sum of any two sides of a triangle is greater than the third side. Let** ACD be any triangle. The distance from A to D, measured on the broken line ACD, is greater than the... | |
| Edward Olney - 1877 - 528 sider
...than AJ/FB, and McdB shorter than AbcgB. Therefore, McdB is shorter than ACDEFB. QBD . COR. 1. — **The sum of any two sides of a triangle is greater than the third side.** This is the same as the axiom that the shortest distance between two points is a straight line. 273.... | |
| Euclides - 1877
...a straight line two equal straight lines can be drawn to the line, but only two. 5. The difference **of any two sides of a triangle is greater than the third side.** PROPOSITION XVII. THEOREM. Any two angles of a triangle are together less than two right angles. Let... | |
| Thomas Martin Herbert - 1879 - 460 sider
...there is a continent of America, but ' know that we are alive, that two and two make four, ' and that **the sum of any two sides of a triangle is ' greater than the third side.'** l In the example of belief given by Mr. Mill, 'we believe that there is a continent of America,' the... | |
| Thomas Martin Herbert - 1879 - 460 sider
...there is a continent of America, but ' know that we are alive, that two and two make four, ' and that **the sum of any two sides of a triangle is ' greater than the third side.'** l In the example of belief given by Mr. Mill, ' we believe that there is a continent of America,' the... | |
| Olaus Henrici - 1879 - 188 sider
...less than the sum of the sides (or perimeter) of the triangle, but greater than half that sum. (n) **The sum of any two sides of a triangle is greater than** twice the concurrent median line. (12) The sum of the three median lines of a triangle is less than... | |
| George Anthony Hill - 1880 - 314 sider
...named. 3. What six parts has every triangle ? 4. Distinguish between exterior and interior angles. 5. **The sum of any two sides of a triangle is greater than the third side.** (5. Defme equilateral, isosceles, and scalene triangles. 7. Define the terms base, •vertex, and altitude.... | |
| George Bruce Halsted - 1881 - 232 sider
...points is constant, is a straight line perpendicular to that which joins the two fixed points. 18. **The sum of any two sides of a triangle is greater than** twice the concurrent medial. 19. In every quadrilateral the sum of the squares of the four sides exceeds... | |
| College of preceptors - 1882
...an isosceles triangle. Prove that the angles at the base of such a triangle are equal. 2. Prove that **the sum of any two sides of a triangle is greater than the third side.** Enunciate a corresponding result for the difference of two sides of a triangle and the third side.... | |
| Euclides - 1884
...can be drawn to the four angles from any other point except the intersection of the diagonals. 13. **The sum of any two sides of a triangle is greater than** twice the median * drawn to the third side, and the excess of this sum over the third side is less... | |
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