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Any two sides of a triangle are together greater than the third side.
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Pągina 30
per Euclid, Robert Simson - 1806 - 518 pągines
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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 that...
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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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## A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 138 pągines
...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...
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## Report of the Superintendent of Public Instruction

...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...
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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...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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## The Ontario High School Geometry: Theoretical

Alexander H. McDougall - 1910 - 302 pągines
...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 the...
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## Essays on Mathematical Education

George St. Lawrence Carson - 1913 - 139 pągines
...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 assumed...
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## The Living Age ..., Volum 281

1914
...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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## Review of Reviews and World's Work: An International Magazine, Volum 49

1914
...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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## The Monist, Volum 26

Paul Carus - 1916
...PROPOSITIONS. It has often been maintained that the twentieth proposition of the first book of Euclid — that two sides of a triangle are together greater than the third side — is evident even to asses. This does not however seem to me generally true. I once asked a coastguardsman...
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