| Elias Loomis - Geometry - 1877 - 443 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
...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
...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
...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...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... | |
| Moffatt and Paige - 1879
...of an isosceles triangle are 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 the side AC, and let the equal sides AB, AC be produced to D and E. Then the angle ABC shall... | |
| Euclides - 1879
...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
...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... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...angle ACB to 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...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
...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...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
...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... | |
| |