| Edward Atkins - 1874 - 426 Seiten
...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...produced, the angles upon the other side of the base shall also be equal. Let ABC be an isosceles triangle, of which the side AB is AB = AC. equal to the side... | |
| Euclides - 1874 - 120 Seiten
...another. 2. 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...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 Seiten
...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 AC, and let the equal sides AB, AC be produced to D and E. Then the angle ABC shall be equal... | |
| Edward Atkins - 1874 - 428 Seiten
...have, &c. (see Enunciation). Which was to be showm. Proposition 5.— Theorem. The angles at the bose of an isosceles triangle are equal to 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,... | |
| Francis Cuthbertson - 1874 - 400 Seiten
...angles at the base of an isosceles triangle are equal; 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 , having the side AB = the side AC, then shall the i ABC be = the ^ A CB; also let the equal sides... | |
| L J V. Gerard - 1874 - 428 Seiten
...II. The angles of a scalene triangle, are unequal to each other. THEOREM 8. (Eucl. I. 5.) The angles at the base of an isosceles triangle, are equal to one another. Let the sides AB and BC of the triangle ABC be equal to each other. Let BD he the bisectrix of the... | |
| Robert Jardine - 1874 - 338 Seiten
...soon decide the question. From a comparison of certain angles and triangles we infer — " The angles at the base of an isosceles triangle are equal to one another." This is certainly not a relation of inclusion, either total or partial. From a variety of considerations,... | |
| 1877 - 678 Seiten
...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... | |
| Euclides - 1877 - 58 Seiten
...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 in which the side AB is equal to the side AC, and let the sides AB, AC be produced to D and E ; then... | |
| Edward Atkins - 1877 - 72 Seiten
...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.... | |
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