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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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Works, Volumen1,Parte1

Aristotle - 1812
...This, however, will become more manifest in diagrams. For instance, [let it be proposed to demonstrate] that the angles at the base of an isosceles triangle are equal *. Let the lines A, B, be drawn to the centre of a circle. If, therefore, he assumes that the angle...
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The Works of Thomas Reid ...: With Account of His Life and Writings, Volumen3

Thomas Reid - 1815
...; and that thrce is the half of six. This immediate perception is immediate and intuitive judgment. That the angles at the base of an isosceles triangle are equal, I perccive by a process of reasoning, in which it will be acknowledged there is judgment. Another way...
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The History of Philosophy: From the Earliest Times to the ..., Volumen1

William Enfield - 1819
...elements of Euclid ; particularly the following theorems ; that a circle is bisected by its diameter ; that the angles at the base of an isosceles triangle are equal ; that the vertical angles of two intersecting lines are equal ; that, if two angles and one side of...
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The Youth's instructer [sic] and guardian, Volúmenes18-19

1854
...theorems, subsequently I 2 incorporated with the immortal work of Euclid, discover, ii by him : — that the angles at the base of an isosceles triangle are equal ; that a circle is bisected by its diameter; that the vertical angles of two intersecting- lines are...
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Encyclopaedia Britannica; Or A Dictionary of Arts, Sciences, and ..., Volumen14

1823
...that any particular action isßt, and yet fit for no particular purpose, is just as absurd as to му that the angles at the base of an isosceles triangle are equal but neither to one another, nor to any other angles ; and we may with no less propriety talk, of the...
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Essays on the powers of the human mind [orig. publ. as Essays on the ...

Thomas Reid - 1827
...; and that three is the half of six. This immediate perception is immediate and intuitive judgment. That the angles at the base of an isosceles triangle are equal, I perceive by a process of reasoning, in which it will be acknowledged there is judgment. Another way...
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Elements of the History of Philosophy and Science: From the Earliest ...

Thomas Morell - 1827 - 560 páginas
...attributed to him, particularly those in which it is proved that a "circle is bisected by its diameter; that the angles at the base of an isosceles triangle are equal; that vertical angles are equal; and that the angle in a semicircle is a right angle." These, though...
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Elements of mental and moral science; designed to exhibit the original ...

George Payne - 1828
...without stating what it is fit for — an absurdity as great, says the objector, as it would be to say that " the angles at the base of an isosceles triangle are equal without adding to one another, or to any other angle." Dr. Brown also, in arguing against this doctrine,...
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Dialogues on the First Principles of the Newtonian System, Volumen4

Walter Henry Burton - 1828 - 68 páginas
...properties of triangles. We will begin therefore, if you please, at the Asses' Bridge. Do you think that the angles at the base of an isosceles triangle are equal, or not? A. I see no reason why they should be otherwise; for, being opposite to equal sides, both angles...
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Natural Theology: Or, Essays on the Existence of Deity and of ..., Volumen2

Alexander Crombie - 1829
...to a conviction of eternity. The testimony of sense, after repeated trials, may induce the belief, that the angles at the base of an isosceles triangle are equal ; but reason proceeds farther, and demonstrates, that they must be equal. In like manner, the phenomena...
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