 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
 | Edward Atkins - 1874 - 426 pages
...have, &c. (see Enunciation). Which was to be shown. Proposition 5. — Theorem. The angles at the base of an isosceles triangle are equal to one another...equal sides of the triangle), be produced to D and E. And the angle CBD shall be equal to the angle BCE (angles upon t/ie other side of t/ie base). CONSTRUCTION.... | |
 | Edward Atkins - 1874 - 428 pages
...if two triangles have, &c. (see Enunciation). Which was to be showm. Proposition 5.— Theorem. The angles at the bose of an isosceles triangle are equal...one another ; and if the equal sides be produced, tlie angles upon the other side of the base shall also be equal. Let ABC be an isosceles triangle,... | |
 | Euclides - 1874 - 120 pages
...The diagonals of a square are equal to one another. PROPOSITION 5. THEOREM. 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. * Let ABC be an isosceles triangle, having... | |
 | Euclides - 1874 - 342 pages
...equal 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 AC, and let the equal sides AB, AC be produced to D and E. Then the angle ABC shall be equal... | |
 | Education Department,London - 1876 - 1010 pages
...oblong, and parallelogram ; and distinguish between a postulate and an axiom. 2. 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 will be equal to one another. Show that the segments of BG, CF, in Euclid's... | |
 | Edward Atkins - 1877 - 72 pages
...Proposition 5.— Theorem. The angles at the base of an isosceles triangle are equal to one another ; andif the equal sides be produced, the angles upon the other...triangle), be produced to D and E. The angle ABC shall be equal to the angle ACB (angles at the base), And the angle CBD shall l>e equal to the angle BCII... | |
 | 1877 - 678 pages
...crjtression. FOBKIOS OFFICE CLERKS. May 1876. EUCLID. Time allowed, 3 hours. 1. The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides bo produced, the angles upon the other side of the base shall be equal. Prove, by using any propositions... | |
 | Edward Harri Mathews - 1879 - 94 pages
...oblong, and parallelogram ; and distinguish between a postulate and an axiom. 2. 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 will be equal to one another. Show that the segments of BG, CF, in Euclid's... | |
 | Euclides - 1879 - 146 pages
...them is equidistant from the extremities of the other. 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 on the other side of the base shall be equal. Let ABC be an isosceles A in which AB=AC, and let the... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...circle, a polygon. When is a straight line said to be ' placed in a circle ' ? 2. 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. 3. If a straight line be divided into... | |
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