| 1907
...sides and angles of a parallelogram are equal to one another ; and (2) the diagonal bisects it. 4. **Any two sides of a triangle are together greater than the third** side. SECTION B. 5. The base of an isosceles triangle is 54 feet, and each side is 45 feet. Find the... | |
| University of Calcutta - 1907
...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 - 1908 - 383 páginas
...all 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. 3 Hamilton : Lectures,... | |
| Walter Percy Workman - 1908
...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... | |
| 1908
...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... | |
| Henry Sinclair Hall - 1908
...opposite to the greater angle is greater than the side opposite to the less. 31 THEOREM 11. [Euc. I. 20.] **Any two sides of a triangle are together greater than the third** side. 32 THEOREM 12. Of all straight lines from a given point to a given straight line the perpendicular... | |
| Alexander H. McDougall - 1910 - 302 páginas
...of the bisectors to the vertex of the third ^ of the A bisects that third Z. INEQUALITIES THEOREM 16 **Any two sides of a triangle are together greater than the third** side. B DC Hypothesis. — ABC is a A. To prove that AB + AC> BC. Construction. — Bisect ZA and let... | |
| Herbert Spencer - 1910
...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 the third** side." " Let ABC be a triangle ; any two sides of it are, together, greater than the third side; namely,... | |
| George St. Lawrence Carson - 1913 - 139 páginas
...of a science may not be a postulate in another. In Euclid's development of geometry, the statement **that any two sides of a triangle are together greater than the third** side is not a postulate, because it is deduced from other statements (postulates) which are avowedly... | |
| 1914
...obvious fact that the shortest distance from one point to another is as "the crow flies"; and stated his **proposition that any two sides of a triangle are together greater than the third.** Ask the average boy to prove this as a general theorem : he will draw a perfect figure, measure the... | |
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