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" America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side. "
An Examination of Sir William Hamilton's Philosophy and of the Principal ... - Página 60
por John Stuart Mill - 1865 - 560 páginas
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 532 páginas
...an isosceles triangle are produced, the two exterior angles formed with the base will bo equal. 3. The sum of any two sides of a triangle is greater than the third side. 4. If from any point within a triangle two straight lines are drawn to the extremities of either side,...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1861 - 638 páginas
...isosceles triangle are produced, the two exterior angles formed with the base will be equal. 3. The siim of any two sides of a triangle is greater than the third side. 4. If from any point within a triangle two straight lines are drawn to the extremities of cither side,...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - 504 páginas
...an isosceles triangle are produced, the two exterior angles formed with the base will be equal. 3. The sum of any two sides of a triangle is greater than the third side. 4. If from any point within a triangle two straight lines are drawn to the extremities of either side,...
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An Examination of Sir William Hamilton's Philosophy and of the Principal ...

John Stuart Mill - 1865 - 342 páginas
...premises : we believe, for example, that there is a Continent of America, but knowthat we are alive, that two and two make four, and that the sum of any...intuitive convictions that are the Beliefs, and those which are dependent and contingent upon them, compose our knowledge. Whether a particular portion of...
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An Examination of Sir William Hamilton's Philosophy and of the Principal ...

John Stuart Mill - 1865 - 332 páginas
...premises: we believe, for example, that there is a Continent of America, but know that we are alive, that two and two make four, and that the sum of any...intuitive convictions that are the Beliefs, and those which are dependent and contingent upon them, compose our knowledge. Whether a particular portion of...
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An Examination of Sir William Hamilton's Philosophy: And of the ..., Volumen1

John Stuart Mill - 1867 - 664 páginas
...premises : we believe, for example, that there is a Continent of America, but know that we are alive, that two and two make four, and that the sum of any...distinction of practical value : but in Sir W. Hamilton's useof the term, it is the intuifive~convictiOT[Tthat "areTnV Beliefs, / and those__which are dependent...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - 1867 - 474 páginas
...side AB, then, being neither equal to AC nor less than it, must necessarily be greater. QED THEOREM X. The sum of any two sides of a triangle is greater than the third side. Let ABC be a triangle : then will the sum of two of its sides, as AB+BC, be greater than the third...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1868 - 340 páginas
...an isosceles triangle are produced, the two exterior angles formed with the base will be equal. 3. The sum of any two sides of a triangle is greater than the third side. 4. If from any point within a triangle two straight lines are drawn to the extremities of either side,...
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Marks' First Lessons in Geometry: Objectively Presented

Bernhard Marks - 1869 - 170 páginas
...once, and see if you can go through it without a second reading: — DEMONSTRATION. We wish to prove that The sum of any two sides of a triangle is greater than the third side. Let the figure abc be a triangle, then will the sum of any two sides, as ac, cb, be greater than the...
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A Treatise on Special Or Elementary Geometry, Volúmenes1-2

Edward Olney - 1872 - 562 páginas
...than Ai/FB, and AdcdB shorter than McgB. Therefore, AbedB is shorter than ACDEFB. QED 274. COR. 1. — The sum of any two sides of a triangle is greater than the third side. This is the same as the axiom that the shortest distance between two points is a straight line. 2 To. COR....
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