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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... "
The Chinese Repository - Página 333
1842
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Works, Volumen1,Parte1

Aristotle - 1812 - 418 páginas
...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 - 434 páginas
...; 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

Johann Jakob Brucker, William Enfield - 1819 - 540 páginas
...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, Volumen14

1854 - 1110 páginas
...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 - 880 páginas
...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: To which are Added, An Essay on ...

Thomas Reid - 1827 - 706 páginas
...; 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 - 614 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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Dialogues on the First Principles of the Newtonian System, Volumen4

Walter Henry Burton - 1828 - 84 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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Elements of mental and moral science; designed to exhibit the original ...

George Payne - 1828 - 574 páginas
...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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Natural Theology: Or, Essays on the Existence of Deity and of ..., Volumen2

Alexander Crombie - 1829 - 664 páginas
...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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