 | Robert Simson - 1806 - 546 σελίδες
...are opposite shall be equal, each to each. Which was to be demonstrated. PROP. V. T1IEOR. THE angles at the base of an isosceles triangle are equal to one another ; and, if the equal sides be produced, the angles upon the other side of the base shall be equal. Let ABC... | |
 | Aristotle - 1812 - 418 σελίδες
...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... | |
 | John Gummere - 1814 - 398 σελίδες
...the acute angles be subtracted from 90% the remainder will be the other acute angle. r 8. The angles at the base of an isosceles triangle are equal to one another. 9. If one side of a triangle be produced, the external angle will be equal to the sum of the two internal... | |
 | Thomas Reid - 1815 - 434 σελίδες
...; 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... | |
 | John Playfair - 1819 - 350 σελίδες
...are opposite, shall be equal, each to each. Which was to be demonstrated. PROP. V. THEOR. The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced, the angles upon the other side of the base shall also be equal. Let... | |
 | Johann Jakob Brucker, William Enfield - 1819 - 540 σελίδες
...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 σελίδες
...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 σελίδες
...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... | |
 | George Crabb - 1823 - 704 σελίδες
...or legs equal. According to the fifth proposition of the first book of Euclid's elements, the angles at the base of an isosceles triangle are equal to one another. ISOSTE'MONES (Bot.) a name given by Haller to one of his classes of plants. [SO'TONl (Med.) an epithet... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...opposite shall be equal, each to each. Which was to be demonstrated. Proposition. V. Theorem. The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced, the angles upon the other iide of the base shall be equal. Let ABC... | |
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The angles at the base of an isosceles triangle are equal to one another; and if the equal sides be produced, the angles -upon the other side of the base shall be equal. 
