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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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The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...to AB ; therefore AC is greater than AB. Wherefore, in any triangle, &c. QED PROP. XX.— THEOREM. Any two sides of a triangle are together greater than the third side, (References — Prop. I. 3, 5, 19 ; ax. 9.) Let ABC be a triangle. Then any two sides of it together...
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Studies in Conduct: Short Essays from the 'Saturday Review.'

John Morley - 1867 - 290 páginas
...minds to any book they read are any less positive that it is a good book or a bad book, than they are that any two sides of a triangle are together greater than the third side. There is something delightful in the perfect conclusiveness and authority with which they pronounce...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 páginas
...AB. Therefore AC is greater than AB. Wherefore, the greater angle &c. QED PROPOSITION 20. THEOREM. 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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Elementary Geometry, Volumen1

James Maurice Wilson - 1868
...the circles would not intersect. This limitation might be anticipated from the theorem before proved, that any two sides of a triangle are together greater than the third side. alone to effect what is performed in practice generally by means of the sector or protractor,...
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Annual Report

1868
...another upon one side of it are either two right angles or are together equal to two right angels 20 3. Any two sides of a triangle are together greater than the third side 20 4. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles...
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Manual

1903
...©cfdjaftSfttl beeinflufet. PURE MATHEMATICS I. (Geometry and Trigonometry.) Time — Three hours. 1. Prove that any two sides of a triangle are together greater than the third. A triangle is described upon a given base and with its vertex in a given straight line. Find the position...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - 1903 - 355 páginas
...triangle to any point in the base is less than either of the equal sides of the triangle. THEOREM 18. Any two sides of a triangle are together greater than the third side. Data To prove that (1) Coiistructioi: Proof fig. 140. ABC is a triangle. (1) BA + AC>BC, (2)...
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Practical Plane and Solid Geometry for Elementary Students

Joseph Harrison - 1903 - 250 páginas
...notation used in connection with triangles. We here give some fundamental properties of triangles. (a) Any two sides of a triangle are together greater than the third side. — Or, Any side of a triangle is greater than the difference between the other two. In symbols...
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Method in Geometry

John Charles Stone - 1904 - 40 páginas
...apprehending the relations existing between these facts. When Euclid's followers were criticised for teaching that " any two sides of a triangle are together greater than the third side," as teaching that which even the beasts of the field know, the reply was, " We are not seeking...
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Summarized Proceedings ... and a Directory of Members

American Association for the Advancement of Science - 1904
...Theory of Functions. Moreover, underneath all this even is the assumption of the theorem, Euclid I, 20: "Any two sides of a triangle are together greater than the third side;" upon which proposition, which the Sophists said even donkeys knew, Hubert has thrown brilliant...
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