| Charles Davies, Adrien Marie Legendre - 1885 - 512 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 - 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.'1 In the example of belief given by Mr. Mill, ' we believe that there is a continent of America,'... | |
| Dalhousie University - 1889
............................. 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 - 65 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 - 63 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 - 406 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 - 657 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 - 320 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 - 320 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.... | |
| University College, Galway - 1898
...5 — + — =9' 5. Find the HCF of 27s3 - 39zs + 23* - 7 and 135z3 - 114*" - 2* + 7. 7. Prove that **the sum of any two sides of a triangle is greater than the third side.** 8. Divide a straight line so that the rectangle contained by the whole and one part may be equal to... | |
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