| 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... | |
| |