 | David Mair - Mathematics - 1907 - 412 pages
...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... | |
 | University of Calcutta - Universities and colleges - 1907 - 458 pages
...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 Graham - Common sense - 1908 - 410 pages
...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 pages
...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... | |
 | Henry Sinclair Hall - 1908 - 286 pages
...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... | |
 | Walter Percy Workman - Geometry - 1908 - 228 pages
...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... | |
 | Joseph Gregory Horner - Engineering - 1909 - 560 pages
...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... | |
 | Michigan. Department of Public Instruction - Education - 1909 - 356 pages
...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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1909 - 456 pages
...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 - Philosophy - 1910 - 780 pages
...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... | |
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Any two sides of a triangle are together greater than the third side. 
