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. An Introduction to Logic - Page 505by Horace William Brindley Joseph - 1906 - 564 pagesFull view - About this book
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...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
...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 - Plane trigonometry - 1814 - 346 pages
...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 - Philosophy - 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... | |
| John Playfair - Trigonometry - 1819 - 333 pages
...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... | |
| 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... | |
| 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... | |
| Encyclopedias and dictionaries - 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... | |
| George Crabb - Industrial arts - 1823
...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 - Mathematics - 1825 - 372 pages
...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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