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" Euclid's, and show by construction that its truth was known to us ; to demonstrate, for example, that the angles at the base of an isosceles triangle are equal... "
Elementary Plane Geometry: Inductive and Deductive - Página 17
por Alfred Baker - 1903 - 144 páginas
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The Human Intellect: With an Introduction Upon Psychology and the Soul

Noah Porter - 1869 - 673 páginas
...satisfactorily by an example. In the fifth proposition of Euclid's geometry, BI, it is proposed to prove that the angles at the base of an isosceles triangle are equal. The first step is to prepare the diagram by producing the two sides AB, and AC, indefinitely towards...
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Recreations of a Recluse, Volumen1

Francis Jacox - 1870
...pronounced a universal genius, but for one deficiency—he never, for the life of him, could demonstrate that the angles at the base of an isosceles triangle are equal. He bears witness of himself, "I was very dull at school, and hated arithmetic: I always had to count...
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The Koran, Commonly Called The Alcoran of Mohammed

1870
...through a thousand stages, if need be, till you bring it to the meaning required. Thus you may prove that the angles at the base of an isosceles triangle are equal to each other, by the music of the spheres, or the eternity of the world from the nature of cause and...
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Elementary Lessons in Logic: Deductive and Inductive : with Copious ...

William Stanley Jevons - 1870 - 340 páginas
...resemblance to inductive reasoning. When in the fifth proposition of the first book of Euclid we prove that the angles at the base of an isosceles triangle are equal to each other, it is done by taking one particular triangle as an example. A figure is given which...
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The Elements of Intellectual Science: A Manual for Schools and Colleges ...

Noah Porter - 1871 - 565 páginas
...pliiiued byan In the fifth proposition of Playfair's Geometry, BI, it is proposed example, to prove that the angles at the base of an isosceles triangle are equal. The first step is to prepare the diagram by producing the two sides, AB, and AC, indefinitely towards...
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The Elements of Plane and Solid Geometry

Henry William Watson - 1871 - 285 páginas
...For example, we have proved in the corollaries to Propositions 5 and 6, respectively, the proposition that the angles at the base of an isosceles triangle are equal to one another, and its con-verse. We might also proceed as follows : Pig 2I Let ABC be an isosceles...
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Astronomy and Geology Compared

John Benn Walsh Baron Ormathwaite - 1872 - 179 páginas
...experience. The nature of the proof differs altogether from that by which we arrive at the certainty that the angles at the base of an isosceles triangle are equal. In the one case the result is certain under all circumstances, and arises from the nature of things....
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Astronomy and Geology

Lord Ormathwaite - 1872
...experience. The nature of the proof differs altogether, from that by which we arrive at the certainty that the angles at the base of an isosceles triangle are equal. In the one case the result is certain under all circumstances, and arises from the nature of things....
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Aristotle, Volumen1

George Grote - 1872
...necessary for supporting it will be completed. Aristotle illustrates this by giving a demonstration that the angles at the base of an isosceles triangle are equal ; justifying every step in the reasoning by an appeal to some universal proposition." Again, every...
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The Human Intellect: with an Introduction Upon Psychology and the Soul

Noah Porter - 1873 - 673 páginas
...satisfactorily by an example. In the fifth proposition of Euclid's geometry, BI, it is proposed to prove that the angles at the base of an isosceles triangle are equal. The first step is to prepare the diagram by producing the two sides A B. and AC, indefinitely towards...
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