 | Euclides - 1884 - 434 sider
...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... | |
 | Charles Davies, Adrien Marie Legendre - 1885 - 538 sider
...are therefore equal in all respects (I., D. 15) ; which was to be proved. PROPOSITION VII. THEOREM. The sum of any two sides of a triangle is greater...Let ABC be a triangle : then will the sum of any two sides, as AB, BC, be greater than the third side AC. For, the distance from A to C, measured on any... | |
 | Thomas Martin Herbert - 1886 - 390 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.'1 In the example of belief given by Mr. Mill, ' we believe that there is a continent of America,'... | |
 | Dalhousie University - 1889 - 220 sider
............................. C. MACDONALD, MA (For Matriculation.) GEOMETRY AND ALGEBRA TIME : THREE HOURS. 1. The sum of any two sides of a triangle is greater than the third eide. 2. Either diagonal of a parallelogram divides it into two triangles equal in every respect. 3.... | |
 | James Wallace MacDonald - 1894 - 76 sider
...right angle. 4. A line bisecting one of two vertical angles will, if continued, bisect the other. 5 . The sum of any two sides of a triangle is greater than the sum of any two lines drawn from any point in the triangle to the extremities of the third side. 6.... | |
 | James Wallace MacDonald - 1889 - 80 sider
...right angle. 4. A line bisecting one of two vertical angles will, if continued, bisect the other. 5. The sum of any two sides of a triangle is greater than the sum of any two lines drawn from any point in the triangle to the extremities of the third side. 6.... | |
 | Seth Thayer Stewart - 1891 - 428 sider
...Conclusion : ABC being any triangle, and AB and AC being any two sides, it follows, in general, that : The sum of any two sides of a triangle is greater than the third side, and the difference between any two sides is less than the third side. PROPOSITION XII. 146. Theorem... | |
 | Henry Martyn Taylor - 1895 - 708 sider
...bisecting the vertical angle : prove that the greater part is adjacent to the greater side. PROPOSITION 20. The sum of any two sides of a triangle is greater than the third side. Let ABC be a triangle : it is required to prove that the sum of any two sides of it is greater than the third side; namely,... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1895 - 346 sider
...assuming the theorem untrue, and endeavor to show the absurdity. (Reductio ad absurdum.} Theorem 8. The sum of any two sides of a triangle is greater than the third side. Given the A ABC. To prove that a + b> c. Proof. 1. Suppose /_ C bisected by CD. 2. ThenZCDA>ZDCB. Th.... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1895 - 344 sider
...without the assump- y<_ tion. Now reverse the process ; v Z b > Z a, OBA .'. PA>PBbyth. 7. Theorem 8. The sum of any two sides of a triangle is greater than the third side. Given the A ABC. To prove that a + b > c. Proof. 1. Suppose ZC bisected by CD. 2. ThenZCDA>Z DCB. Th.... | |
| |
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. 
