| University of Calcutta - 1907 - 458 páginas
...of a triangle are unequal, the greater side has the greater angle opposite to it ; and the converse. **Any two sides of a triangle are together greater than the third.** Of all the straight tines that can be drawn to a given straight line from a given point outside it,... | |
| David Mair - 1907 - 412 páginas
...justify your rule. The rule is important enough to be called a proposition, and may be stated thus: — **Any two sides of a triangle are together greater than the third.** 5. Points of the Compass. The terms north and east have been used. How do you know which direction... | |
| David Graham - 1908 - 408 páginas
...time coming ; whilst, on the other hand, a single demonstration of any necessary truth — say that " **any two sides of a triangle are together greater than the third side,"** or the simple proposition that " lying is base," 1 Reid : Works, p. 441. 2 Hamilton : Lectures, vol.... | |
| 1908 - 274 páginas
...asterisk, but such answers are not expected in order to qualify for any of the several classes. 1. **Any two sides of a triangle are together greater than the third side.** ABO is a triangle, and the vertical angle BAG is bisected by a line which meets BC in X ; show that... | |
| Walter Percy Workman - 1908 - 228 páginas
...to the first angle shall be greater than the side opposite to the second (Euc. I. 19) 123 T.4. — **Any two sides of a triangle are together greater than the third** (Euc. I. 2O) 124 T.5. — The shortest line which can be drawn from a given point to a given line is... | |
| Henry Sinclair Hall - 1908 - 286 páginas
...greater than AB. QED [For Exercises on Theorems 9 and 10 see page 34.] THEOREM 11. [Euclid I. 20.] **Any two sides of a triangle are together greater than the third** Let ABC be a triangle. It is required to prove that any two of its sides are together greater than... | |
| Michigan. Department of Public Instruction - 1909 - 350 páginas
...boulders and cobbles in this state? GEOMETRY. 1. Give the points of proof in the following theorems: (a) **Any two sides of a triangle are together greater than the third side.** (b) The medians of a triangle are concurrent. (c) The angles opposite the equal sides of an isosceles... | |
| Joseph Gregory Horner - 1909 - 560 páginas
...angles. (Prop. 17.) The greater side of every triangle is opposite to the greater angle. (Prop. 18.) **Any two sides of a triangle are together greater than the third side.** (Prop. 20.) If from the ends of a side of a triangle there be drawn two straight lines to a point within... | |
| Royal Military Academy, Woolwich - 1909 - 444 páginas
...have AB = XY, BC= YZ, CD = ZW, B= Y, C = Z. Show that they are equal in every respect. 2. Show that **any two sides of a triangle are together greater than the third.** Give in substance the enunciation of propositions from which you know that the sum of the squares on... | |
| Herbert Spencer - 1910 - 780 páginas
...it falls within or without some other; and the like. Let us take as an example the proposition — " **Any two sides of a triangle are together greater than...side." " Let ABC be a triangle ; any two sides of it** are, together, greater than the third side; namely, BA, AC, greater than BC; and AB, BC, greater than... | |
| |