| Euclides, James Hamblin Smith - 1872 - Liczba stron: 376
...I. give good examples of symmetrical constructions. NOTE XL Euclid's Prop. V. of Book I. The angles at the base of an isosceles triangle are equal to...another ; and if the equal sides be produced, the angles upon the other side of the base shall be equal. Let ABC be an isosceles A, having AB = AC. Produce... | |
| Henry Major - 1873 - Liczba stron: 588
...remaining angles of the other, and be equal to them, viz., ABC to DEF, and ACB to DFE. V. — The angles at the 'base of an isosceles triangle are equal to...another; and if the equal sides be produced, the angles upon the other side of the base shall be equal. Let ABC be an isosceles triangle, of which AB is •... | |
| Edward Atkins - 1874 - Liczba stron: 426
...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...another ; and if the equal sides be produced, the angles upon the other side of the base shall also be equal. Let ABC be an isosceles triangle, of which the... | |
| Francis Cuthbertson - 1874 - Liczba stron: 400
...two of its sides equal. PROPOSITION II. The 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;... | |
| Euclides - 1874 - Liczba stron: 342
...PROPOSITION 5. — Theorem. The angles at the base 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... | |
| Edward Atkins - 1874 - Liczba stron: 428
...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,... | |
| Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - Liczba stron: 236
...DF were produced. PROP. V. — THEOREM. The 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 are also equal. Let ABC be an isosceles triangle, having the side AB equal to the side AC; it is required... | |
| United States Naval Academy - 1874 - Liczba stron: 888
...and a half. 1. Prove that the angles at the base of an isosceles triangle are equal, and that if p equal sides be produced the angles on the other side of the base will be equal. В С is an isosceles triangle, В С the base ; if the angles ARC and AC В be bisected... | |
| Robert Jardine - 1874 - Liczba stron: 338
...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,... | |
| Education Ministry of - 1882 - Liczba stron: 300
...be produced." (These form, one question.) SECTION II. 1. If the equal sides of an isosceles triangle be produced, the angles on the other side of the base shall be equal. Show that this property can be proved by a method similar to that employed in the 4th Proposition.... | |
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