| Edward Atkins - 1874
...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
...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
...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
...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 - Euclid's Elements - 1874 - 349 pages
...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
...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 - Consciousness - 1874 - 287 pages
...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
...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
...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
...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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