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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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Transmigration, Volumen3

Edward James Mortimer Collins - 1874
...boards to lay misshapen white eggs. " Now, young gentlemen," says Glanville, taking snuff, " prove that the angles at the base of an isosceles triangle are equal." He motioned Algy to try first. The unfortunate youngster tried, and produced a network of nonsense...
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PROBLEMS OF LIFE AND MIND.

GEORGE HENRY LEWES - 1874
...particular case, or these few cases, will be equally visible in many, or all, cases resembling these. That the angles at the base of an isosceles triangle are equal, or that the square of 5 is 25, are intuitions, and admit of no doubt when the relations are clearly...
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The Elements of Intellectual Science: A Manual for Schools and Colleges

Noah Porter - 1874 - 565 páginas
...plaiupd by iin 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 method of science and its application to metaphysics. The rules of ...

George Henry Lewes - 1874
...particular case, or these few cases, will be equally visible in many, or all, cases resembling these. That the angles at the base of an isosceles triangle are equal, or that the square of 5 is 25, are intuitions, and admit of no doubt when the relations are clearly...
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Annual Register of the United States Naval Academy ..., Volúmenes25-32

United States Naval Academy - 1874
...by a single substitution t Prove this. GEOMETRY. Time allotted, tiro ЛОНГА and a half. 1. Prove that the angles at the base of an isosceles triangle are equal, and that if p equal sides be produced the angles on the other side of the base will be equal. В С...
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The Sensualistic Philosophy of the Nineteenth Century: Considered

Robert Lewis Dabney - 1875 - 369 páginas
...proposition is true, then it is true everywhere, and ' to all grades of minds. When once we are certain that the angles at the base of an isosceles triangle are equal, then we are obliged to believe that they are equal in any other planet, and in all the heavens, as...
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The Register, Cornell University

Cornell University - 1875
...imaginaries; multiply together (i + I/ — ') and (i — ii/ — 4) ; and explain. GEOMETRY. i. Prove that the angles at the base of an isosceles triangle are equal : and the converse theorem. 2. Prove that if there are two sets of proportional quantities, the products...
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The Common School Teacher, Volumen4

1878
...fifth proposition in Euclid for the sake of the discipline, not for the sake of learning the mere fact that the angles at the base of an isosceles triangle are equal. She answered: ' Yes, that is quite true, and I often think that we are on the wrong track altogether....
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A Dictionary of English Philosophical Terms

Francis Garden - 1878 - 161 páginas
...equilateral triangle must be equiangular, is a corollary from the conclusion of Prop. vbi of Euclid. That is, that the angles at the base of an isosceles triangle are equal, and any two angles of an equilateral are angles at the base of an isosceles triangle. The word corollary...
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A Dictionary of English Philosophical Terms

Francis Garden - 1878 - 161 páginas
...equilateral triangle must be equiangular, is a corollary from the conclusion of Prop. vbi of Euclid. That is, that the angles at the base of an isosceles triangle are equal, and any two angles of an equilateral are angles at the base of an isosceles triangle. The word corollary...
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