 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...  Recreations of a Recluse - Sida 81efter Francis Jacox - 1870Obegränsad förhandsgranskning - Om den här boken
 | Aristotle - 1812 - 418 sidor
...the first. 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 sidor
...; 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 sidor
...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 sidor
...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 sidor
...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... | |
 | Thomas Reid - 1827 - 706 sidor
...; 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 sidor
...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... | |
 | George Payne - 1828 - 574 sidor
...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,... | |
 | Walter Henry Burton - 1828 - 84 sidor
...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... | |
 | Alexander Crombie - 1829 - 664 sidor
...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... | |
| |
