 | Webster Wells - 1908 - 206 sider
...points.] (Ax. 7) 2. Subtracting AC from both members of the inequality, AB>BC—AC. PROP. XI. THEOREM 63. The sum of any two sides of a triangle is greater than the sum of the lines drawn from any point within the triangle to the extremities of the remaining side.... | |
 | Webster Wells - 1908 - 208 sider
...Subtracting AC from both members of the inequality, AB>BC-AC. ~ V •-A\^ PROP. -XL THEOREM <&&: Tlie sum of any two sides of a triangle is greater than the su-ttvof the lines drawn from any point within the triangle to the extremities of the remaining side.... | |
 | Eugene Randolph Smith - 1909 - 424 sider
...and the base of one double the altitude of the other, the triangles are equivalent. 107. Theorem IX. The sum of any two sides of a triangle is greater than the third side. Draw the sum of the two sides in the simplest position possible ; then classify. 108. COR. I. The difference... | |
 | Trinity College (Dublin, Ireland) - 1910 - 578 sider
...proportional between, two lines whose lengths are 2 and 3 cms. or halfinches. Theoretical. 4. Prove that the sum of any two sides of a triangle is greater than the third side. 5. Show how to construct a triangle equal in area to a polygon having five or more sides. 6. Prove... | |
 | George Albert Wentworth, David Eugene Smith - 1910 - 287 sider
...also r ? From these relations find the number of degrees in p + q + r. /* PROPOSITION XX. THEOREM 112. 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. AB Given the triangle ABC, with... | |
 | George William Myers - 1910 - 304 sider
...1-4 will now be shown to be immediate consequences of Axioms 8 and 10. PROPOSITION I 196. Theorem: The sum of any two sides of a triangle is greater than the third side, and their difference is less than the third side. Given any triangle ABC. To prove: a+b>c; b+c>a; a—b<.c;... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - 1910 - 286 sider
...The perimeter of a triangle is greater than twice any one of its sides. PROPOSITION V. THEOREM. 87. The sum of any two sides of a triangle is greater than the sum of any two lines from any point within the triangle to the extremities of the third side. Given... | |
 | Clara Avis Hart, Daniel D. Feldman - 1911 - 328 sider
...sum of any two angles of a triangle is less than two right angles. PROPOSITION XVIII. THEOREM 167. The sum of any two sides of a triangle is greater than the third sideGiven AJ.BC. To prove a -{. c>bAKGUMBNT 1. Prolong c through B until prolongation £D = a. 2. Draw... | |
 | Queensland. Department of Public Instruction - 1912 - 234 sider
...and nngle of the other. Find under what circumstances the triangles must be congruent. 2. Prove that the sum of any two sides of a triangle is greater than the third side. A, B, C, D, E are any five points in a plane. Prove that AB + AC + AD + AE is greater than one quarter... | |
 | Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - 1912 - 216 sider
...last step in the argument he should state which of these suppositions have been proved false. 167. The sum of any two sides of a triangle is greater than the third side. 168. Any side of a triangle is less than the sum and greater than the difference of the other two.... | |
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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. 
