 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 be an isosceles triangle, of which the side AB is equal to AC, and let the...  Elements of geometry, based on Euclid, books i-iii - Page 13by Edward Atkins - 1876 - 119 pagesFull view - About this book
 | Moffatt and Paige - 1879 - 428 pages
...to each other ; and if the equal sides be produced, the angles on the other side of the base shall be equal. Let ABC be an isosceles triangle, of which the side AB is equal to the side AC, and let the equal sides AB, AC be produced to D and E. Then the angle ABC shall... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...the angle DFE. Wherefore, if two triangles &c. QED PROPOSITION 5. THEOREM. T/te angles at the base of an isosceles triangle are equal to one another; and if the equal sides be produced the angles on the other side of the base shall be equal to one another. Let ABC be an isosceles triangle, having... | |
 | T S. Taylor - 1880 - 152 pages
...Repeat. — The enunciation of Euc. I. 4, and Axiom 3. General Enunciation. The angles at the base of an isosceles triangle are equal to one another; and if the equal sides be produced the angles on the other side of the base shall be equal to one another. The same, in tabular form. GIVEN. REQUIRED.... | |
 | Education Ministry of - 1880 - 238 pages
...EUCLID. Capital letters, and not numbers, must be used in the diagrams. 1. The angles at the base or an isosceles triangle are equal to one another ; and if the equal sides be produced the angles on the other side of the base shall be equal to one another. 2. Draw a straight line perpendicular... | |
 | John Gibson - 1881 - 302 pages
...your answer to it, or no marks will be awarded. 1. The angles at the base of an isosceles triangle FGH are equal to one another ; and if the equal sides be produced, the angles on the other side of the base shall be equal to one another. 2. At a given point P in a given straight... | |
 | John Herbert Williams - 1881 - 90 pages
...eveo-Ti фam's, A. 5). — Winkelmann. «*» Five lines. The angles at (тгepi) the base (insert ye) of an isosceles triangle are equal to one another ; and if the equal sides ('the sides themselves') be produced (fxr¡Kvvш, fut. pass.), then the angles also on-the-otherside-of... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...sides oj a triangle be equal to one. another, the angles which are opposite to the equal sides, are aim equal to one another ;" and If the equal sides be produced, the anglet upon the other side of the base shall likewise be equal. PROP. VI. THEOREM. If two angles of... | |
 | Herbert Spencer - 1881 - 756 pages
...the abstract terms are forthwith abandoned, and the proposition is re-stated in a concrete form. " Let ABC be an isosceles triangle, of which the side AB is equal to the side AC ; then the angle ABC shall be equal to the angle AC B." By a series of steps which... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...to confine themselves to one paper, but to make use of the whole set. (a) 1. The angles at the base of an isosceles triangle are equal to one another...produced, the angles upon the other side of the base shall be equal. In Euclid's figure for this proposition, if BG, CF meet in H, show that AH bisects the angle... | |
 | Education Ministry of - 1882 - 292 pages
...Candidates. EUCLID. Capital letters, and not numbers, must be used in the diagrams. 1. The angles at the base of an isosceles triangle are equal to one another; and if the equal sides be produced the angles on the other side of the base shall be equal to one another. 2. Draw a straight line perpendicular... | |
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