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" Any two sides of a triangle are together greater than the third side. "
Proceedings of the Edinburgh Mathematical Society - Página 9
por Edinburgh Mathematical Society - 1894
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Annual Report of the Commissioners ..., Volumen73

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...
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Calendar, Parte1

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,...
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The Grammar of Philosophy: A Study of Scientific Method

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,...
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Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

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...
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Calendar, for the Year ...

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...
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A School Geometry, Partes1-4

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...
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The Ontario High School Geometry: Theoretical

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...
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Principles of psychology

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,...
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Essays on Mathematical Education

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...
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The Living Age ..., Volumen281

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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