 | Henry Major - 1873 - 588 σελίδες
...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 one 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,... | |
 | Edward Atkins - 1874 - 426 σελίδες
...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 ; 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... | |
 | Euclides - 1874 - 120 σελίδες
...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 one 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... | |
 | Edward Atkins - 1874 - 428 σελίδες
...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... | |
 | L J V. Gerard - 1874 - 428 σελίδες
...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 σελίδες
...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,... | |
 | Joseph Hamilton - 1875 - 126 σελίδες
...else, the conclusion that they are equal to each other is absolutely unimpeachable. Again ; the angles at the base of an isosceles triangle are equal to one another. There are several steps in this argument, and many appeals to facts previously established ; but if... | |
 | Education Department,London - 1876 - 1010 σελίδες
...circle, oblong, and parallelogram ; and distinguish between a postulate and an axiom. 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 will be equal to one another. Show that the segments... | |
 | Edward Atkins - 1876 - 130 σελίδες
...have, &c. (see Enunciation). Which was to be shown. Proposition 5.— Theorem. Tlie angles at the bose of an isosceles triangle are equal to one 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... | |
 | Richard Wormell - 1876 - 268 σελίδες
...VIII. When a triangle has two sides equal, the angles opposite to these sides are equal, 'or the angles at the base of an isosceles triangle are equal to one another. Let ABC be a triangle in which AB r= AC, then shall Z. B = ZC A Let AD be the straight line which bisects... | |
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THE angles at the base of an isosceles triangle are equal to one another : and, if the equal sides be produced, the angles upon the other side of the base shall be equal. 
