 | Trinity College (Dublin, Ireland) - 1910 - 578 pages
...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 - Geometry, Plane - 1910 - 287 pages
...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... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 286 pages
...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 - Geometry, Modern - 1911 - 328 pages
...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 - Education - 1912 - 234 pages
...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 - Geometry, Solid - 1912 - 216 pages
...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.... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...also r ? From these relations find the number of degrees in p + q + r. /* PEOPOSITION 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... | |
 | Michael Angelo McGinnis - Equations, Theory of - 1913 - 47 pages
...is always greater than the greater number. (See any geometry or algebra for proof.) (10) o6-f-/3>7. (The sum of any two sides of a triangle is greater than the third side.) (11) Assume that 7 — /3 = A/3 (read " increment /3 "). (12) Let A£ = a. Then o? + £ = y, and, also,... | |
 | John Charles Stone, James Franklin Millis - Geometry - 1916 - 306 pages
...shortest line-segment that can be drawn from the point to the line. The proof is left to the student. 146. Theorem. — The sum of any two sides of a triangle is greater than the third side. Hypothesis. A ABC is any triangle. Conclusion. AC + BC > AB. Suggestions. Produce AC through C to D,... | |
 | John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...that line. 92. If one of two parallel lines is perpendicular to a third line, the other is also. 107. The sum of any two sides of a triangle is greater than the third side. 109. The sum of the angles of a triangle is equal to two right angles. 114. In an equiangular triangle... | |
| |
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. 
