 | Aristotle - 1812 - 418 pages
...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... | |
 | Thomas Reid - 1815 - 434 pages
...; 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... | |
 | Johann Jakob Brucker, William Enfield - 1819 - 540 pages
...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... | |
 | 1854 - 1112 pages
...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... | |
 | 1823 - 880 pages
...that any particular action isßt, and yet fit for no particular purpose, is just as absurd as to ìó 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... | |
 | Thomas Reid - 1827 - 706 pages
...; 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... | |
 | Thomas Morell - 1827 - 614 pages
...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... | |
 | Walter Henry Burton - 1828 - 84 pages
...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... | |
 | George Payne - 1828 - 574 pages
...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,... | |
 | Alexander Crombie - 1829 - 664 pages
...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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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... 
