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" ... any two sides of a triangle are greater than- the third side. That there is a mysterious being penetrating all creation with force, was not a proposition to be demonstrated, but only the poor description in words of an habitual mood going far deeper... "
Rousseau - Página 264
de John Morley - 1900
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The Monthly review. New and improved ser, Volume 26

1798 - 618 páginas
...general system of mathematical truth. If, for example, it be alleged, that it is needless to demonstrate that any two sides of a triangle are greater than the third, it may be replied that this is no doubt a truth, which, without proof, most men will be inclined to...
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The Oxford review; or, Literary censor, Volume 1

734 páginas
...as of the geometrical theorem that one circle cannot cut another circle in more than two points, or that any two sides of a triangle are greater than the third side. Indeed we think Mr. Gambier inconsistent when he affirms, of the former propositions that no doubt...
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Elements of the Philosophy of the Human Mind, Volume 1

Dugald Stewart - 1814 - 528 páginas
...enunciation. I do not allude to those theorems the truth of which is obvious almost to sense, such as, that any two sides of a triangle are greater than the third side, or that one circle cannot cut another circle in more than two points ; but to some propositions with...
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An Introduction to Astronomy ...

John Bonnycastle - 1816 - 490 páginas
...the earth, M the moon in the horizon, and M' the same in the zenith, and draw MA, MC ; then because any two sides of a triangle are greater than the third side, MA and AC are greater than MC or M'C ; and therefore, if from each AC be subtracted, there will remain...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 páginas
...general system of mathematical truth. If, for example, it be alleged, that it is needless to demonstrate that any two sides of a triangle are greater than the third ; it may be replied, that this is no doubt a truth, which, without proof, most men will be inclined...
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The Works of Dugald Stewart: Elements of the philosophy of the human mind

Dugald Stewart - 1829 - 474 páginas
...enunciation. I do not allude to those theorems the truth of which is obvious almost to sense, such as, that any two sides of a triangle are greater than the third side, or that one circle cannot cut another circle in more than two points ; but to some propositions with...
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Elements of the philosophy of the human mind

Dugald Stewart - 1829 - 482 páginas
...enunciation. I do not allude to those theorems the truth of which is obvious almost to sense, such as, that any two sides of a triangle are greater than the third side, or that one circle cannot cut another circle in more than two points ; but to some propositions with...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 27

Perry Fairfax Nursey - 1837 - 504 páginas
...given time, will have arrived at the point D. Now I presume that Kinclaven does not require to be told, that any two sides of a triangle, are greater than the third side; and therefore, I suppose he will admit that the line AD, which the body under the action of the two...
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The Principles of Free Trade: Illustrated in a Series of Short and Familiar ...

Condy Raguet - 1840 - 472 páginas
...a scholar, who, at the threshold, should refuse to admit that two parallel lines can never meet, or that any two sides of a triangle are greater than the third. The powerful reasoning of Adam Smith, the clear demonstrations of Say, and the forcible and able expositions...
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Elements of Logic: Comprising the Substance of the Article in the ...

Richard Whately - 1840 - 508 páginas
...consequently in the Terms, which are the exact representatives of those Definitions. • B. iv. c. 2. § 1. KG That any two sides of a Triangle are greater than the third — in other words that it is impossible to construct a triangle, one of whose sides shall be equal...
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