 | Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...angles those are equal which are opposite to the equal sides. [By Superposition.]* THEOR. 6. The angles at the base of an isosceles triangle are equal to one another. [By a single application oí Theor. 5, or directly by Superposition.] COR. If a triangle is equilateral,... | |
 | 1877 - 678 pages
...correctness of 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 Atkins - 1877 - 72 pages
...triangles 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 ; andif the equal sides be produced, the angles upon the other side of the base shall also be equal.... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...less than the sum of BA and AC. Therefore, if from a point, .etc. PROPOSITION X. THEOREM. The angles at the base of an isosceles triangle are equal to one another. Let ABC be an isosceles triangle, of which the side AB is equal to AC ; then will the angle B be equal... | |
 | Āryabhaṭa - 1878 - 100 pages
...two triangles have two sides of the one &c. QED Paot. IV. THEOEEM. (Prop. 5 and 6 : IE) The tingles at the base of an isosceles triangle are equal to one another ; and conversely, if the angles at the base of a tri-' angle are equal, it is an isosceles triangle. First,... | |
 | James Maurice Wilson - 1878 - 450 pages
...coincides with and is equal to the area of the triangle EDF*. QED *• Eucl. i. 4. THEOREM 6. The angles at the base of an isosceles triangle are equal to one another *. Part. En. Let ABC be an isosceles triangle, having the side AB equal to the side AC; it is required... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...sector of a 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... | |
 | Euclides - 1879 - 146 pages
...theorem, some asserted geometrical property is to be demonstrated (or shown true), as ' the angles at the base of an isosceles triangle are equal to one another.' Thus in a problem there are data (things given) and quassita (things required) and a solution is sought... | |
 | Edward Harri Mathews - 1879 - 94 pages
...Examinations. 1875-77. SUBJECT V. — PURE MATHEMATICS. GEOMETRY. Stage I. May 1875. 1. Prove that the angles at the base of an isosceles triangle are equal to one another. 2. Prove that any two sides of a triangle are together greater than the third. 3. Let ABC be three... | |
 | T S. Taylor - 1880 - 152 pages
...sides equal. 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... | |
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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. 
