| 1903
...opposite angles. Hence show that every triangle must have at least two acute angles. 5. Prove that **the sum of any two sides of a triangle is greater than the third side.** Prove also that the sum of the three sides of a. triangle is greater than twice the straight line drawn... | |
| Fletcher Durell - 1904 - 206 sider
...with the perpendicular. 81. A triangle is a portion of a plane bounded by three straight lines. 92. **The sum of any two sides of a triangle is greater than the third side.** 94. The perpendicular is the shortest line that can be drawn from a given point to a given line. other... | |
| Fletcher Durell - 1904 - 372 sider
...sides. Given AS any side of the A ABC, and AC >BC. To prove AB>AC— BC. Proof. AB + BOAC, Art. 92. **(the sum of any two sides of a triangle is greater than the third side).** Subtracting BC from each member of the inequality, AB>AC— BC, Ax.9. {if equals be subtracted from... | |
| FLETCHER DURELL. PH.D. - 1911
...two sides. Given AB any side of the A ABC, and AOBC. To prove AB>AC—BC. Proof. AB + BO AC, Art. 92. **(the sum of any two sides of a triangle is greater than the third side),** Subtracting BC from each member of the inequality, AB>AC—BC, Ax. 9. yf equals l)e subtracted from... | |
| Fletcher Durell - 1904 - 372 sider
...Given AB any side of the A ABC, and AOBC. To prove AB > A C— BC. Proof. AB + BOAC, Art. 92. (tht **sum of any two sides of a triangle is greater than the third side).** Subtracting BC from each member of the inequality, AB>AC— BC, Ax.9. (</ equals be subtracted from... | |
| Cora Lenore Williams - 1905 - 42 sider
...more than two equal oblique lines can be drawn from a given point to a given straight line. Prop. 38. **The sum of any two sides of a triangle is greater than the third side.** Prop. 39. The difference of any two sides of a triangle is less than the third side. Prop. 40. If from... | |
| Trinity College (Dublin, Ireland) - 1907
...half-inches in length, internally and externally in the ratio of 5 to 3. Theoretical. 4. Prove that **the sum of any two sides of a triangle is greater than the third** aide. 5. Prove geometrically that the rectangle under the sum and difference of two lines is equal... | |
| Webster Wells - 1908 - 174 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 - 298 sider
...(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
...points.] (Ax. 7) 2. Subtracting AC from both members of the inequality, AB>BC-AO. 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.... | |
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